642077129013138

Names of 642077129013138

• Cardinal: 642077129013138 can be written as Six hundred forty-two trillion, seventy-seven billion, one hundred twenty-nine million, thirteen thousand, one hundred thirty-eight.

Scientific notation

• Scientific notation: 6.42077129013138 × 10¹⁴

Factors of 642077129013138

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 519

Divisors of 642077129013138

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 6 7 9 13 14 18 21 26 27 37 39 42 54 63 74 78 91 111 117 126 182 189 222 234 259 273 333 351 378 457 481 518 546 666 702 777 819 914 962 999 1369 1371 1443 1554 1638 1998 2331 2457 2738 2742 2886 3199 3367 4107 4113 4329 4662 4914 5941 6398 6734 6993 8214 8226 8658 9583 9597 10101 11882 12321 12339 12987 13986 16909 17797 17823 19166 19194 20202 24642 24678 25974 28749 28791 30303 33818 35594 35646 36963 41587 50727 53391 53469 57498 57582 60606 73926 83174 86247 86373 90909 101454 106782 106938 118363 124579 124761 152181 160173 160407 172494 172746 181818 208849 219817 236726 249158 249522 258741 304362 320346 320814 355089 373737 374283 417698 439634 456543 480519 517482 625633 626547 659451 710178 747474 748566 913086 961038 1065267 1121211 1122849 1251266 1253094 1318902 1461943 1538719 1876899 1879641 1978353 2130534 2242422 2245698 2715037 2923886 3077438 3195801 3363633 3753798 3759282 3956706 4379431 4385829 4616157 5430074 5630697 5638923 5935059 6391602 6727266 7727413 8133229 8145111 8758862 8771658 9232314 11261394 11277846 11870118 13138293 13157487 13848471 15454826 16266458 16290222 16892091 19005259 23182239 24399687 24435333 26276586 26314974 27696942 33784182 38010518 39414879 39472461 41545413 46364478 48799374 48870666 54091891 56932603 57015777 69546717 73199061 73305999 78829758 78944922 83090826 95443993 100456369 108183782 113865206 114031554 118244637 139093434 146398122 146611998 162275673 170797809 171047331 190887986 200912738 208640151 219597183 236489274 285914281 286331979 301369107 324551346 341595618 342094662 417280302 439194366 486827019 512393427 513141993 571828562 572663958 602738214 668107951 703194583 857742843 858995937 904107321 973654038 1024786854 1026283986 1240771909 1336215902 1406389166 1460481057 1537180281 1715485686 1717991874 1808214642 2001399967 2004323853 2109583749 2481543818 2573228529 2576987811 2712321963 2920962114 3074360562 3531427741 3716885653 3722315727 4002799934 4008647706 4219167498 5146457058 5153975622 5424643926 6004199901 6012971559 6328751247 7062855482 7433771306 7444631454 7719685587 8685403363 10594283223 11150656959 11166947181 12008399802 12025943118 12657502494 15439371174 17370806726 18012599703 18038914677 18986253741 21188566446 22301313918 22333894362 24719994187 26018199571 26056210089 31782849669 33451970877 33500841543 36025199406 36077829354 37972507482 45908560633 49439988374 52036399142 52112420178 54037799109 63565699338 66903941754 67001683086 74159982561 78054598713 78168630267 91817121266 95348549007 100355912631 108075598218 130662826417 137725681899 148319965122 156109197426 156337260534 190697098014 200711825262 222479947683 234163796139 234505890801 261325652834 275451363798 321359924431 391988479251 413177045697 444959895366 468327592278 469011781602 642719848862 667439843049 702491388417 783976958502 826354091394 914639784919 964079773293 1175965437753 1239531137091 1334879686098 1404982776834 1698616743421 1829279569838 1928159546586 2351930875506 2479062274182 2743919354757 2892239319879 3397233486842 3527896313259 5095850230263 5487838709514 5784478639758 7055792626518 8231758064271 8676717959637 10191700460526 11890317203947 15287550690789 16463516128542 17353435919274 23780634407894 24695274192813 30575101381578 35670951611841 45862652072367 49390548385626 71341903223682 91725304144734 107012854835523 214025709671046 321038564506569 642077129013138
• Sum of all divisors σ(n): 1808811555264000
• Sum of proper divisors (its aliquot sum) s(n): 1166734426250862
• 642077129013138 is an abundant number, because the sum of its proper divisors (1166734426250862) is greater than itself. Its abundance is 524657297237724

Bases of 642077129013138

• Binary: 10010001111111011100111011001100010111011110010010₂
• Hexadecimal: 0x247F73B317792
• Base-36: 6BLI5SO9SI

Squares and roots of 642077129013138

• 642077129013138 squared (642077129013138²) is 412263039601753859641776607044
• 642077129013138 cubed (642077129013138³) is 264704668865723733377748734518146357739344072
• The square root of 642077129013138 is 25339240.8925985389
• The cube root of 642077129013138 is 86270.5168980399

Scales and comparisons

• 642,077,129,013,138 seconds is equal to 20,416,066 years, 32 weeks, 4 days, 11 hours, 12 minutes, 18 seconds.
• To count from 1 to 642,077,129,013,138 would take you about fifty-one million, forty thousand, one hundred sixty-six 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 642077129013138 cubic inches would be around 7189.2 feet tall.

Recreational maths with 642077129013138

• 642077129013138 backwards is 831310921770246
• 642077129013138 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 642077129013138's digits is 54
• More coming soon!