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Googol

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566:, with the name "Google" being an accidental misspelling of "googol" by the company's founders, which was picked to signify that the search engine was intended to provide large quantities of information. In 2004, family members of Kasner, who had inherited the right to his book, were considering suing Google for their use of the term "googol"; however, no suit was ever filed. 569:
Since October 2009, Google has been assigning domain names to its servers under the domain "1e100.net", the scientific notation for 1 googol, in order to provide a single domain to identify servers across the Google network.
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0, 0, 1, 0, 0, 4, 4, 0, 1, 0, 1, 4, 3, 4, 10, 0, 4, 10, 9, 0, 4, 12, 13, 16, 0, 16, 10, 4, 16, 10, 5, 0, 1, 4, 25, 28, 10, 28, 16, 0, 1, 4, 31, 12, 10, 36, 27, 16, 11, 0, ... (sequence
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A googol has no special significance in mathematics. However, it is useful when comparing with other very large quantities, such as the number of
261:, and in this role it is sometimes used in teaching mathematics. To put in perspective the size of a googol, the mass of an electron, just under 510: 945: 993: 869: 748: 721: 669: 710:
The relevant passage about the googol and googolplex, attributing both of these names to Kasner's nine-year-old nephew, is available in
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Page, Don N. (1976-01-15). "Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole".
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The word is notable for being the subject of the ÂŁ1 million question in a 2001 episode of the British quiz show
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Masters of Mathematics: The Problems They Solved, Why These Are Important, and What You Should Know about Them
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grains. If the much larger observable universe of today were filled with sand, it would still only equal
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The term was coined in 1920 by 9-year-old Milton Sirotta (1911–1981), nephew of American mathematician
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grains. Another 100,000 observable universes filled with sand would be necessary to make a googol.
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Falk, Quentin; Falk, Ben (2005), "A Code and a Cough: Who Wants to Be a Millionaire? (1998–)",
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Television's Strangest Moments: Extraordinary But True Tales from the History of Television
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game. Kasner used it to illustrate the difference between an unimaginably large number and
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pointed out that the total number of elementary particles in the universe is around
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10 or ten to the power of one hundred. In decimal notation, it is written as the
859: 738: 659: 1473: 1413: 1109: 222: 138: 502:{\displaystyle 10^{100}=2^{(100/\mathrm {log} _{10}2)}\approx 2^{332.19280949}} 1478: 1263: 1093: 796: 596: 551: 547: 335: 329: 317:(roughly 2 light years in diameter), if fully packed with sand, would contain 304: 284: 230: 146: 56: 843: 1369: 1364: 1198: 1080: 1075: 835: 413: 265:, can be compared to the mass of the visible universe, estimated at between 716:. Vol. 3. Mineola, New York: Dover Publications. pp. 2007–2010. 1303: 611: 258: 253:
in the visible universe or the number of hypothetical possibilities in a
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Widespread sounding of the word occurs through the name of the company
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so that there would be no empty space anywhere, there would be around
281:, or at most one ten-billionth of a googol (0.00000001% of a googol). 203:. He may have been inspired by the contemporary comic strip character 1448: 1188: 563: 509:. However, a googol is well within the maximum bounds of an IEEE 754 33: 743:(2nd ed.). New York, NY: Oxford University Press. p. 494. 303:. He also noted the similarity of the second calculation to that of 355:
is lower-bounded to occur at least one googol years in the future.
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An Introduction to Molecular Evolution and Phylogenetics
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with the help of a confederate in the studio audience.
424:, one would need 333 bits to represent a googol, i.e., 864:. New York, NY: Oxford University Press. p. 20. 528:) of one googol, starting with mod 1, is as follows: 430: 376: 155: 946:"Have your Google people talk to my 'googol' people" 1399: 1352: 1321: 1312: 1165: 501: 404: 295:) and that if the whole universe were packed with 207:. Kasner popularized the concept in his 1940 book 184: 990:"Google doppelgänger casts riddle over interwebs" 771:McPherson, Kristine (2006). Elert, Glenn (ed.). 637:"There Could Be No Google Without Edward Kasner" 405:{\displaystyle 70!\approx 1.1979\times 10^{100}} 822:(2). American Physical Society (APS): 198–206. 313:. By Archimedes's calculation, the universe of 225:(commonly used in English speaking countries), 513:type without full precision in the mantissa. 29:Large number defined as ten to the 100th power 1143: 8: 967:. Rotterdam: Sense Publishers. p. 221. 1318: 1150: 1136: 1128: 1047:, Franz Steiner Verlag, pp. 245–246, 803:. Book Club Associates. pp. 220–221. 688:Kasner, Edward; Newman, James R. (1940). 546:This sequence is the same as that of the 493: 472: 461: 455: 448: 435: 429: 396: 375: 173: 160: 154: 664:. Oxford University Press. p. 120. 358:A googol is considerably smaller than a 647:from the original on November 30, 2016. 627: 273:. It is a ratio in the order of about 185:{\displaystyle 2^{100}\times 5^{100}.} 896:. Stanford University. Archived from 7: 1022:from the original on 9 January 2016 861:Infinity: A Very Short Introduction 370:A googol is approximately equal to 661:The Hidden History of Coined Words 468: 465: 462: 328:The decay time for a supermassive 25: 1424:Indefinite and fictitious numbers 996:from the original on 3 March 2016 952:from the original on 2014-09-04. 848:See in particular equation (27). 708:from the original on 2014-07-03. 694:. Simon and Schuster, New York. 585:cheated his way through the show 691:Mathematics and the Imagination 511:double-precision floating point 332:of roughly 1 galaxy-mass ( 210:Mathematics and the Imagination 892:Koller, David (January 2004). 712:James R. Newman, ed. (2000) . 641:The Wall Street Journal Online 635:Bialik, Carl (June 14, 2004). 576:Who Wants to Be a Millionaire? 481: 449: 149:). Its prime factorization is 1: 1339:Conway chained arrow notation 1100:Padilla, Tony; Symonds, Ria. 988:Cade Metz (8 February 2010). 922:. Google, Inc. Archived from 894:"Origin of the name "Google"" 554:up until the 17th position. 1549: 1434:Largest known prime number 963:Nowlan, Robert A. (2017). 217:for this quantity include 55:1 followed by one hundred 31: 1487: 1419:Extended real number line 1334:Knuth's up-arrow notation 737:Bromham, Lindell (2016). 227:ten thousand sexdecillion 1344:Steinhaus–Moser notation 714:The world of mathematics 32:Not to be confused with 1102:"Googol and Googolplex" 836:10.1103/physrevd.13.198 583:was discovered to have 1387:Fast-growing hierarchy 920:"Google! Beta website" 773:"Mass of the universe" 617:Names of large numbers 503: 406: 186: 1444:Long and short scales 1382:Grzegorczyk hierarchy 858:Stewart, Ian (2017). 504: 422:binary numeral system 407: 187: 1016:"What is 1e100.net?" 926:on February 21, 1999 777:The Physics Factbook 658:Ralph Keyes (2021). 428: 374: 219:ten duotrigintillion 153: 135:ten duotrigintillion 1459:Orders of magnitude 1329:Scientific notation 828:1976PhRvD..13..198P 677:Extract of page 120 343:is on the order of 251:subatomic particles 239:Peletier long scale 1377:Ackermann function 1073:Weisstein, Eric W. 579:, when contestant 518:modular arithmetic 499: 402: 353:expanding universe 182: 1505: 1504: 1395: 1394: 871:978-0-19-875523-4 816:Physical Review D 750:978-0-19-873636-3 723:978-0-486-41151-4 671:978-0-19-046677-0 416:of 70). Using an 347:. Therefore, the 341:Hawking radiation 310:The Sand Reckoner 235:ten sexdecilliard 143:ten sexdecilliard 16:(Redirected from 1540: 1533:1920s neologisms 1319: 1249:Eddington number 1194:Hundred thousand 1152: 1145: 1138: 1129: 1124: 1122: 1121: 1112:. Archived from 1086: 1085: 1059: 1057: 1038: 1032: 1031: 1029: 1027: 1012: 1006: 1005: 1003: 1001: 992:. The Register. 985: 979: 978: 960: 954: 953: 942: 936: 935: 933: 931: 916: 910: 909: 907: 905: 900:on June 27, 2012 889: 883: 882: 880: 878: 855: 849: 847: 811: 805: 804: 793: 787: 786: 784: 783: 768: 762: 761: 759: 757: 734: 728: 727: 709: 685: 679: 675: 655: 649: 648: 632: 548:residues (mod n) 537: 520:, the series of 508: 506: 505: 500: 498: 497: 485: 484: 477: 476: 471: 459: 440: 439: 411: 409: 408: 403: 401: 400: 346: 338: 324: 320: 302: 293:Eddington number 290: 280: 276: 272: 268: 264: 191: 189: 188: 183: 178: 177: 165: 164: 126: 124: 122: 120: 118: 116: 114: 112: 110: 108: 106: 104: 102: 100: 98: 96: 94: 92: 90: 88: 86: 84: 82: 80: 78: 76: 74: 72: 70: 68: 66: 64: 62: 21: 1548: 1547: 1543: 1542: 1541: 1539: 1538: 1537: 1528:Units of amount 1508: 1507: 1506: 1501: 1483: 1439:List of numbers 1407: 1405: 1403: 1401: 1391: 1348: 1314: 1308: 1279:Graham's number 1269:Skewes's number 1171: 1169: 1167: 1161: 1156: 1119: 1117: 1099: 1071: 1070: 1067: 1062: 1055: 1040: 1039: 1035: 1025: 1023: 1014: 1013: 1009: 999: 997: 987: 986: 982: 975: 962: 961: 957: 948:. 16 May 2004. 944: 943: 939: 929: 927: 918: 917: 913: 903: 901: 891: 890: 886: 876: 874: 872: 857: 856: 852: 813: 812: 808: 795: 794: 790: 781: 779: 770: 769: 765: 755: 753: 751: 736: 735: 731: 724: 711: 702: 687: 686: 682: 672: 657: 656: 652: 634: 633: 629: 625: 602:Graham's number 593: 560: 558:Cultural impact 533: 489: 460: 444: 431: 426: 425: 392: 372: 371: 368: 344: 333: 322: 318: 300: 288: 278: 274: 270: 266: 262: 247: 197: 169: 156: 151: 150: 131:systematic name 41: 30: 23: 22: 15: 12: 11: 5: 1546: 1544: 1536: 1535: 1530: 1525: 1520: 1518:Large integers 1510: 1509: 1503: 1502: 1500: 1499: 1494: 1488: 1485: 1484: 1482: 1481: 1476: 1471: 1469:Power of three 1466: 1461: 1456: 1451: 1449:Number systems 1446: 1441: 1436: 1431: 1426: 1421: 1416: 1410: 1408: 1404:(alphabetical 1397: 1396: 1393: 1392: 1390: 1389: 1384: 1379: 1374: 1373: 1372: 1367: 1360:Hyperoperation 1356: 1354: 1350: 1349: 1347: 1346: 1341: 1336: 1331: 1325: 1323: 1316: 1310: 1309: 1307: 1306: 1301: 1296: 1291: 1286: 1281: 1276: 1274:Moser's number 1271: 1266: 1261: 1259:Shannon number 1256: 1251: 1246: 1241: 1236: 1231: 1226: 1221: 1216: 1211: 1206: 1201: 1196: 1191: 1186: 1181: 1175: 1173: 1163: 1162: 1157: 1155: 1154: 1147: 1140: 1132: 1126: 1125: 1097: 1087: 1066: 1065:External links 1063: 1061: 1060: 1053: 1033: 1018:. Google Inc. 1007: 980: 974:978-9463008938 973: 955: 937: 911: 884: 870: 850: 806: 788: 763: 749: 729: 722: 700: 680: 670: 650: 626: 624: 621: 620: 619: 614: 609: 607:Skewes' number 604: 599: 592: 589: 581:Charles Ingram 559: 556: 544: 543: 496: 492: 488: 483: 480: 475: 470: 467: 464: 458: 454: 451: 447: 443: 438: 434: 399: 395: 391: 388: 385: 382: 379: 367: 364: 246: 243: 196: 193: 181: 176: 172: 168: 163: 159: 28: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1545: 1534: 1531: 1529: 1526: 1524: 1521: 1519: 1516: 1515: 1513: 1498: 1495: 1493: 1490: 1489: 1486: 1480: 1477: 1475: 1472: 1470: 1467: 1465: 1462: 1460: 1457: 1455: 1452: 1450: 1447: 1445: 1442: 1440: 1437: 1435: 1432: 1430: 1429:Infinitesimal 1427: 1425: 1422: 1420: 1417: 1415: 1412: 1411: 1409: 1398: 1388: 1385: 1383: 1380: 1378: 1375: 1371: 1368: 1366: 1363: 1362: 1361: 1358: 1357: 1355: 1351: 1345: 1342: 1340: 1337: 1335: 1332: 1330: 1327: 1326: 1324: 1320: 1317: 1311: 1305: 1302: 1300: 1299:Rayo's number 1297: 1295: 1292: 1290: 1287: 1285: 1282: 1280: 1277: 1275: 1272: 1270: 1267: 1265: 1262: 1260: 1257: 1255: 1252: 1250: 1247: 1245: 1242: 1240: 1237: 1235: 1232: 1230: 1227: 1225: 1222: 1220: 1217: 1215: 1212: 1210: 1207: 1205: 1202: 1200: 1197: 1195: 1192: 1190: 1187: 1185: 1182: 1180: 1177: 1176: 1174: 1164: 1160: 1159:Large numbers 1153: 1148: 1146: 1141: 1139: 1134: 1133: 1130: 1116:on 2014-03-29 1115: 1111: 1107: 1103: 1098: 1095: 1091: 1088: 1083: 1082: 1077: 1074: 1069: 1068: 1064: 1056: 1054:9781861058744 1050: 1046: 1045: 1037: 1034: 1021: 1017: 1011: 1008: 995: 991: 984: 981: 976: 970: 966: 959: 956: 951: 947: 941: 938: 925: 921: 915: 912: 899: 895: 888: 885: 873: 867: 863: 862: 854: 851: 845: 841: 837: 833: 829: 825: 821: 817: 810: 807: 802: 798: 792: 789: 778: 774: 767: 764: 752: 746: 742: 741: 733: 730: 725: 719: 715: 707: 703: 701:0-486-41703-4 697: 693: 692: 684: 681: 678: 673: 667: 663: 662: 654: 651: 646: 642: 638: 631: 628: 622: 618: 615: 613: 610: 608: 605: 603: 600: 598: 595: 594: 590: 588: 586: 582: 578: 577: 571: 567: 565: 557: 555: 553: 549: 541: 536: 531: 530: 529: 527: 523: 519: 514: 512: 494: 490: 486: 478: 473: 456: 452: 445: 441: 436: 432: 423: 419: 415: 397: 393: 389: 386: 383: 380: 377: 365: 363: 361: 356: 354: 350: 345:10 years 342: 337: 331: 326: 316: 312: 311: 306: 298: 294: 286: 282: 260: 256: 252: 244: 242: 240: 236: 232: 228: 224: 220: 216: 212: 211: 206: 205:Barney Google 202: 201:Edward Kasner 194: 192: 179: 174: 170: 166: 161: 157: 148: 144: 140: 136: 132: 128: 58: 54: 50: 46: 39: 38:Nikolai Gogol 35: 27: 19: 1464:Power of two 1454:Number names 1253: 1189:Ten thousand 1118:. Retrieved 1114:the original 1105: 1079: 1043: 1036: 1024:. Retrieved 1010: 998:. Retrieved 983: 964: 958: 940: 928:. Retrieved 924:the original 914: 902:. Retrieved 898:the original 887: 875:. Retrieved 860: 853: 819: 815: 809: 800: 791: 780:. Retrieved 776: 766: 754:. Retrieved 739: 732: 713: 690: 683: 660: 653: 640: 630: 574: 572: 568: 561: 545: 525: 515: 495:332.19280949 369: 357: 336:solar masses 327: 308: 283: 248: 234: 226: 218: 208: 198: 142: 134: 60: 49:large number 44: 42: 26: 1474:Power of 10 1414:Busy beaver 1219:Quintillion 1214:Quadrillion 1110:Brady Haran 1106:Numberphile 1026:30 December 1000:30 December 930:October 12, 797:Sagan, Carl 315:Aristarchus 223:short scale 139:short scale 125:​000, 123:​000, 121:​000, 119:​000, 117:​000, 115:​000, 113:​000, 111:​000, 109:​000, 107:​000, 105:​000, 103:​000, 101:​000, 99:​000, 97:​000, 95:​000, 93:​000, 91:​000, 89:​000, 87:​000, 85:​000, 83:​000, 81:​000, 79:​000, 77:​000, 75:​000, 73:​000, 71:​000, 69:​000, 67:​000, 65:​000, 63:​000, 1512:Categories 1479:Sagan Unit 1313:Expression 1264:Googolplex 1229:Septillion 1224:Sextillion 1170:numerical 1120:2013-04-06 1094:PlanetMath 782:2019-08-24 623:References 597:Googolplex 552:googolplex 366:Properties 360:centillion 349:heat death 330:black hole 305:Archimedes 285:Carl Sagan 271:10 kg 263:10 kg 231:long scale 147:long scale 127:​000 1370:Pentation 1365:Tetration 1353:Operators 1322:Notations 1244:Decillion 1239:Nonillion 1234:Octillion 1166:Examples 1081:MathWorld 877:April 15, 844:0556-2821 756:April 15, 487:≈ 414:factorial 390:× 384:≈ 339:) due to 195:Etymology 167:× 18:Googolgon 1523:Integers 1402:articles 1400:Related 1304:Infinity 1209:Trillion 1184:Thousand 1076:"Googol" 1020:Archived 994:Archived 950:Archived 799:(1981). 706:Archived 645:Archived 612:Infinity 591:See also 522:residues 418:integral 334:10  297:neutrons 259:infinity 213:. Other 1497:History 1315:methods 1289:SSCG(3) 1284:TREE(3) 1204:Billion 1199:Million 1179:Hundred 904:July 4, 824:Bibcode 538:in the 535:A066298 237:on the 229:on the 221:on the 47:is the 1406:order) 1254:Googol 1090:Googol 1051:  971:  868:  842:  801:Cosmos 747:  720:  698:  668:  564:Google 516:Using 387:1.1979 351:of an 129:. Its 57:zeroes 45:googol 34:Google 1492:Names 1294:BH(3) 1172:order 550:of a 524:(mod 291:(the 255:chess 233:, or 215:names 141:) or 53:digit 1049:ISBN 1028:2015 1002:2015 969:ISBN 932:2010 906:2012 879:2022 866:ISBN 840:ISSN 758:2022 745:ISBN 718:ISBN 696:ISBN 666:ISBN 540:OEIS 269:and 245:Size 1092:at 832:doi 453:100 437:100 398:100 307:in 277:to 175:100 162:100 133:is 61:10, 36:or 1514:: 1168:in 1108:. 1104:. 1078:. 838:. 830:. 820:13 818:. 775:. 704:. 643:. 639:. 474:10 433:10 420:, 394:10 378:70 362:. 323:10 319:10 301:10 289:10 279:10 275:10 267:10 241:. 59:: 43:A 1151:e 1144:t 1137:v 1123:. 1096:. 1084:. 1058:. 1030:. 1004:. 977:. 934:. 908:. 881:. 846:. 834:: 826:: 785:. 760:. 726:. 674:. 542:) 526:n 491:2 482:) 479:2 469:g 466:o 463:l 457:/ 450:( 446:2 442:= 412:( 381:! 180:. 171:5 158:2 145:( 137:( 40:. 20:)

Index

Googolgon
Google
Nikolai Gogol
large number
digit
zeroes
systematic name
short scale
long scale
Edward Kasner
Barney Google
Mathematics and the Imagination
names
short scale
long scale
Peletier long scale
subatomic particles
chess
infinity
Carl Sagan
Eddington number
neutrons
Archimedes
The Sand Reckoner
Aristarchus
black hole
solar masses
Hawking radiation
heat death
expanding universe

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