137089356322108552704
137,089,356,322,108,552,704 is an even composite number composed of four prime numbers multiplied together.
What does the number 137089356322108552704 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1920 divisors.
137089356322108552704 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137089356322108552704:
29 × 315 × 292 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 29 × 29 × 281 × 281 × 281)See below for interesting mathematical facts about the number 137089356322108552704 from the Numbermatics database.
Names of 137089356322108552704
- Cardinal: 137089356322108552704 can be written as One hundred thirty-seven quintillion, eighty-nine quadrillion, three hundred fifty-six trillion, three hundred twenty-two billion, one hundred eight million, five hundred fifty-two thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.37089356322108552704 × 1020
Factors of 137089356322108552704
Divisors of 137089356322108552704
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 243 256 261 281 288 324 348 384 432 464 486 512 522 562 576 648 696 729 768 783 841 843 864 928 972 1044 1124 1152 1296 1392 1458 1536 1566 1682 1686 1728 1856 1944 2088 2187 2248 2304 2349 2523 2529 2592 2784 2916 3132 3364 3372 3456 3712 3888 4176 4374 4496 4608 4698 5046 5058 5184 5568 5832 6264 6561 6728 6744 6912 7047 7424 7569 7587 7776 8149 8352 8748 8992 9396 10092 10116 10368 11136 11664 12528 13122 13456 13488 13824 14094 14848 15138 15174 15552 16298 16704 17496 17984 18792 19683 20184 20232 20736 21141 22272 22707 22761 23328 24447 25056 26244 26912 26976 28188 30276 30348 31104 32596 33408 34992 35968 37584 39366 40368 40464 41472 42282 44544 45414 45522 46656 48894 50112 52488 53824 53952 56376 59049 60552 60696 62208 63423 65192 66816 68121 68283 69984 71936 73341 75168 78732 78961 80736 80928 84564 90828 91044 93312 97788 100224 104976 107648 107904 112752 118098 121104 121392 124416 126846 130384 133632 136242 136566 139968 143872 146682 150336 157464 157922 161472 161856 169128 177147 181656 182088 186624 190269 195576 200448 204363 204849 209952 215296 215808 220023 225504 236196 236321 236883 242208 242784 253692 260768 272484 273132 279936 293364 300672 314928 315844 322944 323712 338256 354294 363312 364176 373248 380538 391152 400896 408726 409698 419904 430592 431616 440046 451008 472392 472642 473766 484416 485568 507384 521536 531441 544968 546264 559872 570807 586728 601344 613089 614547 629856 631688 645888 647424 660069 676512 708588 708963 710649 726624 728352 761076 782304 817452 819396 839808 880092 902016 944784 945284 947532 968832 971136 1014768 1043072 1062882 1089936 1092528 1119744 1141614 1173456 1202688 1226178 1229094 1259712 1263376 1291776 1294848 1320138 1353024 1417176 1417926 1421298 1453248 1456704 1522152 1564608 1594323 1634904 1638792 1679616 1712421 1760184 1804032 1839267 1843641 1889568 1890568 1895064 1937664 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1869204896607744 1905712804744614 1958867117085456 2007664518578688 2012438988301824 2051744437292094 2102855508683712 2161508542990848 2203725506721138 2258622583401024 2263993861839552 2321620286916096 2431697110864704 2540950406326152 2546993094569496 2611822822780608 2735659249722792 2803807344911616 2938300675628184 3011496777868032 3018658482452736 3077616655938141 3242262814486272 3305588260081707 3387933875101536 3395990792759328 3482430430374144 3647545666297056 3811425609489228 3917734234170912 4103488874584188 4205711017367424 4407451013442276 4517245166802048 4527987723679104 4863394221729408 5081900812652304 5093986189138992 5223645645561216 5471318499445584 5607614689823232 5876601351256368 6022993555736064 6037316964905472 6155233311876282 6484525628972544 6611176520163414 6775867750203072 6791981585518656 6964860860748288 7295091332594112 7622851218978456 7835468468341824 8206977749168376 8411422034734848 8814902026884552 9034490333604096 9055975447358208 9232849967814423 9726788443458816 9916764780245121 10163801625304608 10187972378277984 10447291291122432 10942636998891168 11753202702512736 12310466623752564 13222353040326828 13551735500406144 13583963171037312 14590182665188224 15245702437956912 15670936936683648 16413955498336752 16822844069469696 17629804053769104 18068980667208192 18111950894716416 18465699935628846 19453576886917632 19833529560490242 20327603250609216 20375944756555968 20894582582244864 21885273997782336 23506405405025472 24620933247505128 26444706080653656 27103471000812288 27167926342074624 29180365330376448 29750294340735363 30491404875913824 31341873873367296 32827910996673504 35259608107538208 36931399871257692 39667059120980484 40655206501218432 40751889513111936 43770547995564672 47012810810050944 49241866495010256 52889412161307312 54206942001624576 54335852684149248 58360730660752896 59500588681470726 60982809751827648 62683747746734592 65655821993347008 70519216215076416 73862799742515384 79334118241960968 81310413002436864 81503779026223872 87541095991129344 89250883022206089 94025621620101888 98483732990020512 105778824322614624 119001177362941452 121965619503655296 131311643986694016 141038432430152832 147725599485030768 158668236483921936 162620826004873728 163007558052447744 175082191982258688 178501766044412178 188051243240203776 196967465980041024 211557648645229248 238002354725882904 243931239007310592 262623287973388032 267752649066618267 282076864860305664 295451198970061536 317336472967843872 357003532088824356 393934931960082048 423115297290458496 476004709451765808 487862478014621184 525246575946776064 535505298133236534 564153729720611328 590902397940123072 634672945935687744 714007064177648712 787869863920164096 846230594580916992 952009418903531616 1071010596266473068 1181804795880246144 1269345891871375488 1428014128355297424 1575739727840328192 1692461189161833984 1904018837807063232 2142021192532946136 2363609591760492288 2538691783742750976 2856028256710594848 3808037675614126464 4284042385065892272 4727219183520984576 5077383567485501952 5712056513421189696 7616075351228252928 8568084770131784544 11424113026842379392 15232150702456505856 17136169540263569088 22848226053684758784 34272339080527138176 45696452107369517568 68544678161054276352 137089356322108552704
- Sum of all divisors σ(n): 427042507654429729920
- Sum of proper divisors (its aliquot sum) s(n): 289953151332321177216
- 137089356322108552704 is an abundant number, because the sum of its proper divisors (289953151332321177216) is greater than itself. Its abundance is 152863795010212624512
Bases of 137089356322108552704
- Binary: 11101101110011111110011101100111110100100100011101100110110000000002
- Hexadecimal: 0x76E7F3B3E923B3600
- Base-36: SXJGP1LDI0000
Squares and roots of 137089356322108552704
- 137089356322108552704 squared (1370893563221085527042) is 18793491616810044208320756973065545711616
- 137089356322108552704 cubed (1370893563221085527043) is 2576387668793432119795662712102521510189857998592583521009664
-
The
square root of 137089356322108552704 is 11708516401.4109213999 -
The
cube root of 137089356322108552704 is 5156257.2803550607
Scales and comparisons
How big is 137089356322108552704?- 137,089,356,322,108,552,704 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,089,356,322,108,552,704 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 137089356322108552704 cubic inches would be around 429688.1 feet tall.
Recreational maths with 137089356322108552704
- 137089356322108552704 backwards is 407255801223653980731
- 137089356322108552704 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137089356322108552704's digits is 81
- More coming soon!
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"Number 137089356322108552704 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 137089356322108552704 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/137089356322108552704/
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Numbermatics. 2024. "Number 137089356322108552704 - Facts about the integer". https://numbermatics.com/n/137089356322108552704/
The information we have on file for 137089356322108552704 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!
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