137768325002902307232
137,768,325,002,902,307,232 is an even composite number composed of five prime numbers multiplied together.
137768325002902307232 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 137768325002902307232:
25 × 34 × 31 × 1342519 × 1277121589
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 1342519 × 1277121589)See below for interesting mathematical facts about the number 137768325002902307232 from the Numbermatics database.
Names of 137768325002902307232
- Cardinal: 137768325002902307232 can be written as One hundred thirty-seven quintillion, seven hundred sixty-eight quadrillion, three hundred twenty-five trillion, two billion, nine hundred two million, three hundred seven thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.37768325002902307232 × 1020
Factors of 137768325002902307232
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1278464144
Divisors of 137768325002902307232
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 20088 26784 40176 80352 1342519 2685038 4027557 5370076 8055114 10740152 12082671 16110228 21480304 24165342 32220456 36248013 41618089 42960608 48330684 64440912 72496026 83236178 96661368 108744039 124854267 128881824 144992052 166472356 193322736 217488078 249708534 289984104 332944712 374562801 386645472 434976156 499417068 579968208 665889424 749125602 869952312 998834136 1123688403 1159936416 1277121589 1331778848 1498251204 1739904624 1997668272 2247376806 2554243178 2996502408 3371065209 3479809248 3831364767 3995336544 4494753612 5108486356 5993004816 6742130418 7662729534 8989507224 10216972712 11494094301 11986009632 13484260836 15325459068 17979014448 20433945424 22988188602 26968521672 30650918136 34482282903 35958028896 39590769259 40867890848 45976377204 53937043344 61301836272 68964565806 79181538518 91952754408 103446848709 107874086688 118772307777 122603672544 137929131612 158363077036 183905508816 206893697418 237544615554 275858263224 316726154072 356316923331 367811017632 413787394836 475089231108 551716526448 633452308144 712633846662 827574789672 950178462216 1068950769993 1103433052896 1266904616288 1425267693324 1655149579344 1900356924432 2137901539986 2850535386648 3206852309979 3310299158688 3800713848864 4275803079972 5701070773296 6413704619958 8551606159944 11402141546592 12827409239916 17103212319888 25654818479832 34206424639776 51309636959664 102619273919328 1714559998542691 3429119997085382 5143679995628073 6858239994170764 10287359991256146 13716479988341528 15431039986884219 20574719982512292 27432959976683056 30862079973768438 41149439965024584 46293119960652657 53151359954823421 54865919953366112 61724159947536876 82298879930049168 92586239921305314 106302719909646842 123448319895073752 138879359881957971 159454079864470263 164597759860098336 185172479842610628 212605439819293684 246896639790147504 277758719763915942 318908159728940526 370344959685221256 425210879638587368 478362239593410789 493793279580295008 555517439527831884 637816319457881052 740689919370442512 850421759277174736 956724479186821578 1111034879055663768 1275632638915762104 1435086718780232367 1481379838740885024 1700843518554349472 1913448958373643156 2222069758111327536 2551265277831524208 2870173437560464734 3826897916747286312 4305260156340697101 4444139516222655072 5102530555663048416 5740346875120929468 7653795833494572624 8610520312681394202 11480693750241858936 15307591666989145248 17221040625362788404 22961387500483717872 34442081250725576808 45922775000967435744 68884162501451153616 137768325002902307232
- Sum of all divisors σ(n): 418243219667930764800
- Sum of proper divisors (its aliquot sum) s(n): 280474894665028457568
- 137768325002902307232 is an abundant number, because the sum of its proper divisors (280474894665028457568) is greater than itself. Its abundance is 142706569662126150336
Bases of 137768325002902307232
- Binary: 11101110111111010110110100110101001100010101000111100000001101000002
- Hexadecimal: 0x777EB69A98A8F01A0
- Base-36: T2P63CRB6RE00
Squares and roots of 137768325002902307232
- 137768325002902307232 squared (1377683250029023072322) is 18980111374105317011984476187268919501824
- 137768325002902307232 cubed (1377683250029023072323) is 2614858152379024012840337529415960540236169296198969632391168
-
The
square root of 137768325002902307232 is 11737475239.7141314367 -
The
cube root of 137768325002902307232 is 5164755.8086090135
Scales and comparisons
How big is 137768325002902307232?- 137,768,325,002,902,307,232 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,768,325,002,902,307,232 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 137768325002902307232 cubic inches would be around 430396.3 feet tall.
Recreational maths with 137768325002902307232
- 137768325002902307232 backwards is 232703209200523867731
- 137768325002902307232 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137768325002902307232's digits is 72
- More coming soon!
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