137940478416984375
137,940,478,416,984,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137940478416984375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
137940478416984375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 137940478416984375:
32 × 56 × 113 × 172 × 37 × 413
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 17 × 17 × 37 × 41 × 41 × 41)See below for interesting mathematical facts about the number 137940478416984375 from the Numbermatics database.
Names of 137940478416984375
- Cardinal: 137940478416984375 can be written as One hundred thirty-seven quadrillion, nine hundred forty trillion, four hundred seventy-eight billion, four hundred sixteen million, nine hundred eighty-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.37940478416984375 × 1017
Factors of 137940478416984375
Divisors of 137940478416984375
- Number of divisors d(n): 2016
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Complete list of divisors:
1 3 5 9 11 15 17 25 33 37 41 45 51 55 75 85 99 111 121 123 125 153 165 185 187 205 225 255 275 289 333 363 369 375 407 425 451 495 555 561 605 615 625 629 697 765 825 867 925 935 1025 1089 1125 1221 1275 1331 1353 1375 1445 1517 1665 1681 1683 1815 1845 1875 1887 2035 2057 2091 2125 2255 2475 2601 2775 2805 3025 3075 3125 3145 3179 3485 3663 3825 3993 4059 4125 4335 4477 4551 4625 4675 4961 5043 5125 5445 5625 5661 6105 6171 6273 6375 6655 6765 6875 6919 7225 7585 7667 8325 8405 8415 9075 9225 9375 9435 9537 10175 10285 10455 10625 10693 11275 11849 11979 12375 13005 13431 13653 13875 14025 14883 15125 15129 15375 15625 15725 15895 16687 17425 18315 18491 18513 19125 19965 20295 20625 20757 21675 22385 22627 22755 23001 23125 23375 24805 25215 25625 25789 27225 28125 28305 28577 28611 30525 30855 31365 31875 32079 33275 33825 34375 34595 34969 35547 36125 37925 38335 40293 41625 42025 42075 44649 45375 46125 46875 47175 47685 49247 50061 50875 51425 52275 53125 53465 54571 55473 56375 59245 59895 61875 62197 62271 65025 67155 67881 68265 68921 69003 69375 70125 74415 75625 75645 76109 76875 77367 78625 79475 83435 84337 85731 87125 91575 92455 92565 95625 96237 99825 101475 103125 103785 104907 106641 108375 111925 113135 113775 115005 115625 116875 117623 124025 126075 128125 128945 130339 136125 140625 141525 142885 143055 147741 150183 152625 154275 156825 159375 160395 163713 166375 166419 169125 171875 172975 174845 177735 180625 183557 186591 189625 191675 201465 203401 203643 206763 208125 210125 210375 223245 226875 228327 230625 232101 235875 238425 246235 250305 253011 254375 257125 257193 261375 265625 267325 272855 277365 281875 283679 296225 299475 309375 310985 311355 314347 314721 325125 335775 339405 341325 344605 345015 346875 350625 352869 372075 378125 378225 380545 384375 384659 386835 391017 393125 397375 417175 421685 428655 435625 438413 443223 457875 462275 462825 478125 481185 485809 491139 499125 507375 515625 518925 524535 533205 541875 550671 559625 559773 565675 568875 575025 578125 584375 588115 610203 620125 620289 630375 640625 644725 651695 680625 684167 684981 707625 714425 715275 738705 750915 758131 759033 763125 771375 784125 796875 801975 818565 831875 832095 837199 845625 851037 864875 874225 888675 903125 917785 927707 932955 943041 948125 958375 1007325 1017005 1018215 1033815 1040625 1050625 1051875 1057349 1058607 1116225 1134375 1141635 1153125 1153977 1160505 1171657 1173051 1179375 1192125 1231175 1251525 1265055 1271875 1285625 1285965 1293853 1306875 1315239 1336625 1364275 1386825 1409375 1418395 1433729 1457427 1481125 1497375 1546875 1554925 1556775 1571735 1573605 1625625 1652013 1678875 1697025 1706625 1723025 1725075 1734375 1753125 1764345 1830609 1860375 1890625 1891125 1902725 1921875 1923295 1934175 1955085 1965625 1986875 2019127 2052501 2085875 2108425 2143275 2178125 2192065 2216115 2237411 2274393 2289375 2311375 2314125 2390625 2405925 2429045 2455695 2495625 2511597 2536875 2550077 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446515625 447046875 449373325 454303575 458669255 461690625 469321875 473831875 474395625 476864399 477431757 485194875 493214625 497954225 501234375 503417475 511603125 514877385 520059375 523249375 523387755 529046001 531898125 537648375 546390625 546535125 555421875 564437775 570539805 573615625 573767325 579816875 579970215 583096875 583527703 589400625 593172789 602817875 625458075 629578125 635628125 636384375 639696145 640457235 646134375 646611779 650269635 657299577 660843125 661629375 667987375 697640625 701271175 702105525 708852485 709695855 713521875 721235625 725315625 732285625 733156875 736972253 745057863 757172625 769484375 769687875 778008825 782203125 790659375 795719595 803728125 808658125 808871985 822024375 825604659 839029125 852671875 852897375 858128975 866765625 872312925 881743335 886496875 896080625 896317605 910891875 925677951 940729625 941848875 950899675 956278875 966617025 971828125 972984375 982334375 983503125 988621315 1032508125 1042430125 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5337143625 5418913625 5425360875 5477496475 5513578125 5720653125 5757265305 5819506011 5850879375 5914132125 5947588125 6010296875 6011886375 6109640625 6208815525 6309771875 6311440575 6379672365 6414065625 6483406875 6524900679 6590570625 6630996625 6632750277 6740599875 6850203125 6880038825 6925359375 6991909375 7036657595 7107478125 7152965985 7230295347 7269274375 7277923125 7347861125 7469313375 7590765625 7674046875 7713982925 7723160775 7797377335 7848740625 7968990625 7978471875 8055141875 8064725625 8106694783 8466566625 8558097075 8604234375 8697253125 8746453125 8752915545 8841009375 8895239375 8897591835 9042268125 9381871125 9534421875 9595442175 9692015625 9699176685 9751465625 9754044525 9856886875 9859493655 9912646875 10019810625 10182457461 10348025875 10519067625 10632787275 10690109375 10702828125 10805678125 10818534375 10874834465 10984284375 11054583795 11234333125 11357589375 11466731375 11845796875 11859890625 11921609975 11935793925 12050492245 12129871875 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6096277828125 6162183534375 6364035913125 6645492046875 6688023195975 6796771540625 6909114871875 7212574034875 7451006234375 7459871203125 7531557653125 7916239794375 8266343765625 8678230790625 8772049501875 8828190618687 8971738433625 9117620359375 9120031630875 9268324828125 9835328229375 9941656102125 10103309046875 10270305890625 10606726521875 11146705326625 11515191453125 11641529109375 12234188773125 12900072796875 12982633262775 13193732990625 13411811221875 13556803775625 14463717984375 14620082503125 14713651031145 14952897389375 15200052718125 16392213715625 16411716646875 16569426836875 17991454078125 18185956284375 19092107739375 19936476140625 20064069587925 20390314621875 20727344615625 21637722104625 21989554984375 22353018703125 22594672959375 24366804171875 24522751718575 25333421196875 26915215300875 27352861078125 27804974484375 29505984688125 29824968306375 30309927140625 30810917671875 31820179565625 33440115979875 33983857703125 34545574359375 36062870174375 37657788265625 39581198971875 43391153953125 43860247509375 44140953093435 44858692168125 45600158154375 49176641146875 49708280510625 53033632609375 55733526633125 61170943865625 64913166313875 65968664953125 67059056109375 67784018878125 73100412515625 73568255155725 74764486946875 76000263590625 81961068578125 82058583234375 82847134184375 90929781421875 95460538696875 100320347939625 101951573109375 103636723078125 108188610523125 112973364796875 122613758592875 126667105984375 134576076504375 147529923440625 149124841531875 159100897828125 167200579899375 180314350871875 197905994859375 219301237546875 220704765467175 224293460840625 228000790771875 245883205734375 248541402553125 278667633165625 305854719328125 324565831569375 338920094390625 367841275778625 373822434734375 380001317953125 414235670921875 477302693484375 501601739698125 540943052615625 613068792964375 672880382521875 737649617203125 745624207659375 836002899496875 901571754359375 1103523827335875 1121467304203125 1140003953859375 1242707012765625 1393338165828125 1622829157846875 1839206378893125 2508008698490625 2704715263078125 3065343964821875 3364401912609375 3728121038296875 4180014497484375 5517619136679375 8114145789234375 9196031894465625 12540043492453125 15326719824109375 27588095683396875 45980159472328125 137940478416984375
- Sum of all divisors σ(n): 306341731684392768
- Sum of proper divisors (its aliquot sum) s(n): 168401253267408393
- 137940478416984375 is an abundant number, because the sum of its proper divisors (168401253267408393) is greater than itself. Its abundance is 30460774850424018
Bases of 137940478416984375
- Binary: 1111010100001000000100010011000000011000100011001001101112
- Hexadecimal: 0x1EA102260311937
- Base-36: 11Q7TGYRV0VR
Squares and roots of 137940478416984375
- 137940478416984375 squared (1379404784169843752) is 19027575585906532185938468994140625
- 137940478416984375 cubed (1379404784169843753) is 2624672879435278826505231423610873293697357177734375
-
The
square root of 137940478416984375 is 371403390.4220374441 -
The
cube root of 137940478416984375 is 516690.6182564345
Scales and comparisons
How big is 137940478416984375?- 137,940,478,416,984,375 seconds is equal to 4,386,080,535 years, 38 weeks, 5 days, 9 hours, 26 minutes, 15 seconds.
-
To count from 1 to 137,940,478,416,984,375 would take you about thirteen billion, one hundred fifty-eight million, two hundred forty-one thousand, six hundred seven 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 137940478416984375 cubic inches would be around 43057.6 feet tall.
Recreational maths with 137940478416984375
- 137940478416984375 backwards is 573489614874049731
- The number of decimal digits it has is: 18
- The sum of 137940478416984375's digits is 90
- More coming soon!
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"Number 137940478416984375 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 137940478416984375 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/137940478416984375/
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The information we have on file for 137940478416984375 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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