12984742083447904

Names of 12984742083447904

• Cardinal: 12984742083447904 can be written as Twelve quadrillion, nine hundred eighty-four trillion, seven hundred forty-two billion, eighty-three million, four hundred forty-seven thousand, nine hundred four.

Scientific notation

• Scientific notation: 1.2984742083447904 × 10¹⁶

Factors of 12984742083447904

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 847

Divisors of 12984742083447904

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 121 154 176 196 224 242 308 352 392 484 539 616 784 827 847 968 1078 1232 1331 1568 1654 1694 1936 2156 2464 2662 3308 3388 3872 4312 5324 5789 5929 6616 6776 8624 9097 9317 10648 11578 11858 13232 13552 14641 17248 18194 18634 21296 23156 23716 26464 27104 29282 36388 37268 40523 42592 46312 47432 58564 63679 65219 72776 74536 81046 92624 94864 100067 102487 117128 127358 130438 145552 149072 162092 185248 189728 200134 204974 234256 254716 260876 291104 298144 324184 400268 409948 445753 468512 509432 521752 648368 683929 700469 717409 800536 819896 891506 1018864 1043504 1100737 1296736 1367858 1400938 1434818 1601072 1639792 1783012 2037728 2087008 2201474 2735716 2801876 2869636 3202144 3279584 3566024 4402948 4787503 4903283 5471432 5603752 5739272 7132048 7523219 7705159 8805896 9575006 9806566 10942864 11207504 11478544 12108107 14264096 15046438 15410318 17611792 19150012 19613132 21885728 22415008 22957088 24216214 30092876 30820636 33512521 35223584 38300024 39226264 48432428 52662533 53936113 60185752 61641272 67025042 76600048 78452528 82755409 84756749 96864856 105325066 107872226 120371504 123282544 134050084 153200096 156905056 165510818 169513498 193729712 210650132 215744452 240743008 246565088 268100168 331021636 339026996 368637731 387459424 421300264 431488904 536200336 565609283 579287863 593297243 662043272 678053992 737275462 842600528 862977808 910309499 1072400672 1131218566 1158575726 1186594486 1324086544 1356107984 1474550924 1685201056 1725955616 1820618998 2262437132 2317151452 2373188972 2648173088 2712215968 2949101848 3641237996 3959264981 4055015041 4524874264 4634302904 4746377944 5898203696 6221702113 6372166493 7282475992 7918529962 8110030082 9049748528 9268605808 9492755888 10013404489 11796407392 12443404226 12744332986 14564951984 15837059924 16220060164 18099497056 18537211616 18985511776 20026808978 24886808452 25488665972 27714854867 29129903968 31674119848 32440120328 40053617956 43551914791 44605165451 49773616904 50977331944 55429709734 63348239696 64880240656 68438723243 70093831423 80107235912 87103829582 89210330902 99547233808 101954663888 110859419468 126696479392 129760481312 136877446486 140187662846 160214471824 174207659164 178420661804 199094467616 203909327776 221718838936 273754892972 280375325692 304863403537 320428943648 348415318328 356841323608 443437677872 479071062701 490656819961 547509785944 560750651384 609726807074 696830636656 713682647216 752825955673 886875355744 958142125402 981313639922 1095019571888 1121501302768 1219453614148 1393661273312 1427365294432 1505651911346 1916284250804 1962627279844 2190039143776 2243002605536 2438907228296 3011303822692 3353497438907 3832568501608 3925254559688 4877814456592 5269781689711 6022607645384 6706994877814 7665137003216 7850509119376 8281085512403 9755628913184 10539563379422 12045215290768 13413989755628 15330274006432 15701018238752 16562171024806 21079126758844 24090430581536 26827979511256 33124342049612 36888471827977 42158253517688 53655959022512 57967598586821 66248684099224 73776943655954 84316507035376 107311918045024 115935197173642 132497368198448 147553887311908 168633014070752 231870394347284 264994736396896 295107774623816 405773190107747 463740788694568 590215549247632 811546380215494 927481577389136 1180431098495264 1623092760430988 1854963154778272 3246185520861976 6492371041723952 12984742083447904
• Sum of all divisors σ(n): 32750514361492200
• Sum of proper divisors (its aliquot sum) s(n): 19765772278044296
• 12984742083447904 is an abundant number, because the sum of its proper divisors (19765772278044296) is greater than itself. Its abundance is 6781030194596392

Bases of 12984742083447904

• Binary: 101110001000011000110111011011011000100100110001100000₂
• Hexadecimal: 0x2E218DDB624C60
• Base-36: 3JUPG5WDNJ4

Squares and roots of 12984742083447904

• 12984742083447904 squared (12984742083447904²) is 168603526973663014725088681993216
• 12984742083447904 cubed (12984742083447904³) is 2189273312112665974107119243931742236728417419264
• The square root of 12984742083447904 is 113950612.4750889787
• The cube root of 12984742083447904 is 235041.4418143523

Scales and comparisons

• 12,984,742,083,447,904 seconds is equal to 412,874,633 years, 42 weeks, 13 hours, 45 minutes, 4 seconds.
• To count from 1 to 12,984,742,083,447,904 would take you about one billion, two hundred thirty-eight million, six hundred twenty-three thousand, nine hundred one years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 12984742083447904 cubic inches would be around 19586.8 feet tall.

Recreational maths with 12984742083447904

• 12984742083447904 backwards is 40974438024748921
• The number of decimal digits it has is: 17
• The sum of 12984742083447904's digits is 76
• More coming soon!