137521968552538472448
137,521,968,552,538,472,448 is an even composite number composed of six prime numbers multiplied together.
What does the number 137521968552538472448 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1836 divisors.
137521968552538472448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred thirty-six divisors.
Prime factorization of 137521968552538472448:
216 × 32 × 7 × 132 × 881 × 149572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 881 × 14957 × 14957)See below for interesting mathematical facts about the number 137521968552538472448 from the Numbermatics database.
Names of 137521968552538472448
- Cardinal: 137521968552538472448 can be written as One hundred thirty-seven quintillion, five hundred twenty-one quadrillion, nine hundred sixty-eight trillion, five hundred fifty-two billion, five hundred thirty-eight million, four hundred seventy-two thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.37521968552538472448 × 1020
Factors of 137521968552538472448
Divisors of 137521968552538472448
- Number of divisors d(n): 1836
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 168 169 182 192 208 224 234 252 256 273 288 312 336 338 364 384 416 448 468 504 507 512 546 576 624 672 676 728 768 819 832 881 896 936 1008 1014 1024 1092 1152 1183 1248 1344 1352 1456 1521 1536 1638 1664 1762 1792 1872 2016 2028 2048 2184 2304 2366 2496 2643 2688 2704 2912 3042 3072 3276 3328 3524 3549 3584 3744 4032 4056 4096 4368 4608 4732 4992 5286 5376 5408 5824 6084 6144 6167 6552 6656 7048 7098 7168 7488 7929 8064 8112 8192 8736 9216 9464 9984 10572 10647 10752 10816 11453 11648 12168 12288 12334 13104 13312 14096 14196 14336 14957 14976 15858 16128 16224 16384 17472 18432 18501 18928 19968 21144 21294 21504 21632 22906 23296 24336 24576 24668 26208 26624 28192 28392 28672 29914 29952 31716 32256 32448 32768 34359 34944 36864 37002 37856 39936 42288 42588 43008 43264 44871 45812 46592 48672 49152 49336 52416 53248 55503 56384 56784 57344 59828 59904 63432 64512 64896 65536 68718 69888 73728 74004 75712 79872 80171 84576 85176 86016 86528 89742 91624 93184 97344 98304 98672 103077 104699 104832 106496 111006 112768 113568 114688 119656 119808 126864 129024 129792 134613 137436 139776 147456 148008 148889 151424 159744 160342 169152 170352 172032 173056 179484 183248 186368 194441 194688 196608 197344 206154 209398 209664 212992 222012 225536 227136 229376 239312 239616 240513 253728 258048 259584 269226 274872 279552 294912 296016 297778 302848 314097 319488 320684 338304 340704 344064 346112 358968 366496 372736 388882 389376 394688 412308 418796 419328 425984 444024 446667 451072 454272 458752 478624 479232 481026 507456 516096 519168 538452 549744 559104 583323 589824 592032 595556 605696 628194 638976 641368 676608 681408 688128 692224 717936 721539 732992 745472 777764 778752 789376 824616 837592 838656 851968 888048 893334 902144 908544 942291 957248 958464 962052 1014912 1032192 1038336 1042223 1076904 1099488 1118208 1166646 1184064 1191112 1211392 1256388 1277952 1282736 1340001 1353216 1361087 1362816 1376256 1384448 1435872 1443078 1465984 1490944 1555528 1557504 1578752 1649232 1675184 1677312 1749969 1776096 1786668 1804288 1817088 1884582 1914496 1916928 1924104 2029824 2064384 2076672 2084446 2153808 2198976 2236416 2333292 2368128 2382224 2422784 2512776 2527733 2555904 2565472 2680002 2706432 2722174 2725632 2768896 2871744 2886156 2931968 2981888 3111056 3115008 3126669 3157504 3298464 3350368 3354624 3499938 3552192 3573336 3608576 3634176 3769164 3828992 3833856 3848208 4059648 4083261 4128768 4153344 4168892 4307616 4397952 4472832 4666584 4736256 4764448 4845568 5025552 5055466 5130944 5360004 5412864 5444348 5451264 5537792 5743488 5772312 5863936 5963776 6222112 6230016 6253338 6315008 6596928 6700736 6709248 6999876 7104384 7146672 7217152 7268352 7538328 7583199 7657984 7667712 7696416 8119296 8166522 8306688 8337784 8615232 8795904 8945664 9333168 9380007 9472512 9528896 9691136 10051104 10110932 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20661353448398208 20989311439642624 22299654378553344 22383132902431392 22603873858076672 23612975369597952 25429358090336256 25580723317064448 26016263441645568 27548471264530944 29062123531812864 29844177203241856 31483967159463936 33574699353647088 33905810787115008 34107631089419264 36731295019374592 38371084975596672 38749498042417152 39024395162468352 41322706896796416 41978622879285248 44766265804862784 45207747716153344 47225950739195904 50858716180672512 51161446634128896 52032526883291136 55096942529061888 58124247063625728 59688354406483712 62967934318927872 67149398707294176 67811621574230016 68215262178838528 73462590038749184 76742169951193344 78048790324936704 82645413793592832 83957245758570496 89532531609725568 90415495432306688 94451901478391808 101717432361345024 102322893268257792 110193885058123776 116248494127251456 119376708812967424 125935868637855744 134298797414588352 135623243148460032 136430524357677056 146925180077498368 153484339902386688 156097580649873408 165290827587185664 167914491517140992 179065063219451136 188903802956783616 203434864722690048 204645786536515584 220387770116247552 238753417625934848 251871737275711488 268597594829176704 271246486296920064 272861048715354112 293850360154996736 306968679804773376 330581655174371328 358130126438902272 377807605913567232 406869729445380096 409291573073031168 440775540232495104 477506835251869696 503743474551422976 537195189658353408 545722097430708224 587700720309993472 613937359609546752 661163310348742656 716260252877804544 755615211827134464 813739458890760192 818583146146062336 881551080464990208 955013670503739392 1074390379316706816 1091444194861416448 1175401440619986944 1227874719219093504 1322326620697485312 1432520505755609088 1511230423654268928 1637166292292124672 1763102160929980416 1910027341007478784 2148780758633413632 2182888389722832896 2455749438438187008 2644653241394970624 2865041011511218176 3274332584584249344 3526204321859960832 3820054682014957568 4297561517266827264 4911498876876374016 5289306482789941248 5730082023022436352 6548665169168498688 7640109364029915136 8595123034533654528 9822997753752748032 10578612965579882496 11460164046044872704 15280218728059830272 17190246069067309056 19645995507505496064 22920328092089745408 34380492138134618112 45840656184179490816 68760984276269236224 137521968552538472448
- Sum of all divisors σ(n): 492240849430081188528
- Sum of proper divisors (its aliquot sum) s(n): 354718880877542716080
- 137521968552538472448 is an abundant number, because the sum of its proper divisors (354718880877542716080) is greater than itself. Its abundance is 217196912325004243632
Bases of 137521968552538472448
- Binary: 11101110100100000000010110111000110101000100111111100000000000000002
- Hexadecimal: 0x774802DC6A27F0000
- Base-36: T0TSDA4EN6RK0
Squares and roots of 137521968552538472448
- 137521968552538472448 squared (1375219685525384724482) is 18912291834565380558824238863169255112704
- 137521968552538472448 cubed (1375219685525384724483) is 2600855602929530399879987994521660228564932189523482238779392
-
The
square root of 137521968552538472448 is 11726976104.3731334299 -
The
cube root of 137521968552538472448 is 5161675.4438552849
Scales and comparisons
How big is 137521968552538472448?- 137,521,968,552,538,472,448 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,521,968,552,538,472,448 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 137521968552538472448 cubic inches would be around 430139.6 feet tall.
Recreational maths with 137521968552538472448
- 137521968552538472448 backwards is 844274835255869125731
- The number of decimal digits it has is: 21
- The sum of 137521968552538472448's digits is 99
- More coming soon!
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"Number 137521968552538472448 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 137521968552538472448 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/137521968552538472448/
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The information we have on file for 137521968552538472448 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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