137391785761374633216
137,391,785,761,374,633,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 137391785761374633216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 540 divisors.
137391785761374633216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 137391785761374633216:
28 × 3 × 7 × 134 × 9459412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 13 × 945941 × 945941)See below for interesting mathematical facts about the number 137391785761374633216 from the Numbermatics database.
Names of 137391785761374633216
- Cardinal: 137391785761374633216 can be written as One hundred thirty-seven quintillion, three hundred ninety-one quadrillion, seven hundred eighty-five trillion, seven hundred sixty-one billion, three hundred seventy-four million, six hundred thirty-three thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.37391785761374633216 × 1020
Factors of 137391785761374633216
Divisors of 137391785761374633216
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 169 182 192 208 224 256 273 312 336 338 364 384 416 448 507 546 624 672 676 728 768 832 896 1014 1092 1183 1248 1344 1352 1456 1664 1792 2028 2184 2197 2366 2496 2688 2704 2912 3328 3549 4056 4368 4394 4732 4992 5376 5408 5824 6591 7098 8112 8736 8788 9464 9984 10816 11648 13182 14196 15379 16224 17472 17576 18928 21632 23296 26364 28392 28561 30758 32448 34944 35152 37856 43264 46137 52728 56784 57122 61516 64896 69888 70304 75712 85683 92274 105456 113568 114244 123032 129792 140608 151424 171366 184548 199927 210912 227136 228488 246064 281216 302848 342732 369096 399854 421824 454272 456976 492128 562432 599781 685464 738192 799708 843648 908544 913952 945941 984256 1199562 1370928 1476384 1599416 1687296 1827904 1891882 1968512 2399124 2741856 2837823 2952768 3198832 3655808 3783764 3937024 4798248 5483712 5675646 5905536 6397664 6621587 7311616 7567528 9596496 10967424 11351292 11811072 12297233 12795328 13243174 15135056 19192992 19864761 21934848 22702584 24594466 25590656 26486348 30270112 36891699 38385984 39729522 45405168 49188932 51181312 52972696 60540224 73783398 76771968 79459044 86080631 90810336 98377864 105945392 121080448 147566796 153543936 158918088 159864029 172161262 181620672 196755728 211890784 242160896 258241893 295133592 317836176 319728058 344322524 363241344 393511456 423781568 479592087 516483786 590267184 635672352 639456116 688645048 726482688 787022912 847563136 959184174 1032967572 1119048203 1180534368 1271344704 1278912232 1377290096 1574045824 1695126272 1918368348 2065935144 2078232377 2238096406 2361068736 2542689408 2557824464 2754580192 3148091648 3357144609 3836736696 4131870288 4156464754 4476192812 4722137472 5085378816 5115648928 5509160384 6234697131 6714289218 7673473392 8263740576 8312929508 8952385624 9444274944 10231297856 11018320768 12469394262 13428578436 14547626639 15346946784 16527481152 16625859016 17904771248 20462595712 22036641536 24938788524 26857156872 27017020901 29095253278 30693893568 33054962304 33251718032 35809542496 40925191424 43642879917 49877577048 53714313744 54034041802 58190506556 61387787136 66109924608 66503436064 71619084992 81051062703 87285759834 99755154096 107428627488 108068083604 116381013112 122775574272 133006872128 143238169984 162102125406 174571519668 189119146307 199510308192 214857254976 216136167208 232762026224 266013744256 286476339968 324204250812 349143039336 378238292614 399020616384 429714509952 432272334416 465524052448 532027488512 567357438921 648408501624 698286078672 756476585228 798041232768 859429019904 864544668832 894804375481 931048104896 1134714877842 1296817003248 1396572157344 1512953170456 1596082465536 1729089337664 1789608750962 1862096209792 2269429755684 2593634006496 2684413126443 2793144314688 3025906340912 3458178675328 3579217501924 3724192419584 4538859511368 5187268012992 5368826252886 5586288629376 6051812681824 6263630628367 6916357350656 7158435003848 9077719022736 10374536025984 10737652505772 11172577258752 11632456881253 12103625363648 12527261256734 14316870007696 18155438045472 18790891885101 20749072051968 21475305011544 23264913762506 24207250727296 25054522513468 28633740015392 34897370643759 36310876090944 37581783770202 42950610023088 46529827525012 48414501454592 50109045026936 57267480030784 69794741287518 72621752181888 75163567540404 81427198168771 85901220046176 93059655050024 100218090053872 114534960061568 139589482575036 145243504363776 150327135080808 151221939456289 162854396337542 171802440092352 186119310100048 200436180107744 229069920123136 244281594506313 279178965150072 300654270161616 302443878912578 325708792675084 343604880184704 372238620200096 400872360215488 453665818368867 488563189012626 558357930300144 601308540323232 604887757825156 651417585350168 687209760369408 744477240400192 801744720430976 907331636737734 977126378025252 1058553576194023 1116715860600288 1202617080646464 1209775515650312 1302835170700336 1488954480800384 1603489440861952 1814663273475468 1954252756050504 1965885212931757 2117107152388046 2233431721200576 2405234161292928 2419551031300624 2605670341400672 2977908961600768 3175660728582069 3629326546950936 3908505512101008 3931770425863514 4234214304776092 4466863442401152 4810468322585856 4839102062601248 5211340682801344 5897655638795271 6351321457164138 7258653093901872 7817011024202016 7863540851727028 8468428609552184 8933726884802304 9678204125202496 10422681365602688 11795311277590542 12702642914328276 13761196490522299 14517306187803744 15634022048404032 15727081703454056 16936857219104368 19356408250404992 20845362731205376 23590622555181084 25405285828656552 25556507768112841 27522392981044598 29034612375607488 31268044096808064 31454163406908112 33873714438208736 38712816500809984 41283589471566897 47181245110362168 50810571657313104 51113015536225682 55044785962089196 58069224751214976 62536088193616128 62908326813816224 67747428876417472 76669523304338523 82567178943133794 94362490220724336 101621143314626208 102226031072451364 110089571924178392 116138449502429952 125816653627632448 135494857752834944 153339046608677046 165134357886267588 178895554376789887 188724980441448672 203242286629252416 204452062144902728 220179143848356784 251633307255264896 270989715505669888 306678093217354092 330268715772535176 357791108753579774 377449960882897344 406484573258504832 408904124289805456 440358287696713568 503266614510529792 536686663130369661 613356186434708184 660537431545070352 715582217507159548 754899921765794688 812969146517009664 817808248579610912 880716575393427136 1073373326260739322 1226712372869416368 1321074863090140704 1431164435014319096 1509799843531589376 1635616497159221824 1761433150786854272 2146746652521478644 2453424745738832736 2642149726180281408 2862328870028638192 3271232994318443648 3522866301573708544 4293493305042957288 4906849491477665472 5284299452360562816 5724657740057276384 6542465988636887296 8586986610085914576 9813698982955330944 10568598904721125632 11449315480114552768 17173973220171829152 19627397965910661888 22898630960229105536 34347946440343658304 45797261920458211072 68695892880687316608 137391785761374633216
- Sum of all divisors σ(n): 452724275552837151136
- Sum of proper divisors (its aliquot sum) s(n): 315332489791462517920
- 137391785761374633216 is an abundant number, because the sum of its proper divisors (315332489791462517920) is greater than itself. Its abundance is 177940704030087884704
Bases of 137391785761374633216
- Binary: 11101110010101100011010110100110111100100110100111001111101000000002
- Hexadecimal: 0x772B1AD37934E7D00
- Base-36: SZU6JBZRKAS5C
Squares and roots of 137391785761374633216
- 137391785761374633216 squared (1373917857613746332162) is 18876502794699465402224393224798530502656
- 137391785761374633216 cubed (1373917857613746332163) is 2593476427893338481872456775266855673195991677915500113821696
-
The
square root of 137391785761374633216 is 11721424220.6898489685 -
The
cube root of 137391785761374633216 is 5160046.1927411187
Scales and comparisons
How big is 137391785761374633216?- 137,391,785,761,374,633,216 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,391,785,761,374,633,216 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137391785761374633216 cubic inches would be around 430003.8 feet tall.
Recreational maths with 137391785761374633216
- 137391785761374633216 backwards is 612336473167587193731
- The number of decimal digits it has is: 21
- The sum of 137391785761374633216's digits is 93
- More coming soon!
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The information we have on file for 137391785761374633216 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137391785761374633216, math, Factors of 137391785761374633216, curriculum, school, college, exams, university, Prime factorization of 137391785761374633216, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, three hundred ninety-one quadrillion, seven hundred eighty-five trillion, seven hundred sixty-one billion, three hundred seventy-four million, six hundred thirty-three thousand, two hundred sixteen.