138901337939805727
138,901,337,939,805,727 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138901337939805727 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
138901337939805727 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138901337939805727:
112 × 13 × 172 × 293 × 593 × 61
(11 × 11 × 13 × 17 × 17 × 29 × 29 × 29 × 59 × 59 × 59 × 61)See below for interesting mathematical facts about the number 138901337939805727 from the Numbermatics database.
Names of 138901337939805727
- Cardinal: 138901337939805727 can be written as One hundred thirty-eight quadrillion, nine hundred one trillion, three hundred thirty-seven billion, nine hundred thirty-nine million, eight hundred five thousand, seven hundred twenty-seven.
Scientific notation
- Scientific notation: 1.38901337939805727 × 1017
Factors of 138901337939805727
Divisors of 138901337939805727
- Number of divisors d(n): 576
-
Complete list of divisors:
1 11 13 17 29 59 61 121 143 187 221 289 319 377 493 649 671 767 793 841 1003 1037 1573 1711 1769 2057 2431 3179 3481 3509 3599 3757 4147 5423 6409 7139 7381 8381 8437 8723 9251 10933 11033 11407 13039 13481 14297 17051 17629 18821 19459 22243 22997 24389 26741 29087 30073 34969 38291 39589 41327 45253 45617 46787 49619 51301 59177 59653 61183 70499 92191 92807 95953 100949 101761 104371 108953 120263 121363 125477 143429 148291 157267 185861 187561 193919 205379 207031 212341 214049 221663 229177 243049 244673 252967 268279 317057 319957 330803 378131 390949 414613 421201 435479 454597 494479 497783 511241 514657 545809 564311 645047 650947 666913 673013 769301 775489 795379 843523 872117 1006009 1014101 1040111 1110439 1148081 1198483 1312337 1322893 1356823 1438951 1487729 1577719 1631201 1716133 1729937 1774307 2044471 2063171 2133109 2259169 2335751 2438293 2520947 2669927 2673539 2691403 2760433 2782637 2927521 2951069 3026759 3159637 3487627 3491443 3519527 3609797 3638833 4159441 4300439 4560743 5389969 5439269 5475613 5623651 5661227 5955991 6003899 6157889 6207421 6428227 6646133 7048421 7095517 7160417 7336043 7403143 8462311 8749169 9278753 9593287 10965799 11066099 11337521 11441221 12214829 12528119 12628891 13078117 13183313 13521443 14339891 14435707 14825989 14925053 15828461 16365019 18706363 18877463 19340477 19517377 22309729 22489181 23065991 24462167 24850859 25291393 25693261 26821223 27730417 29174261 29369197 29408929 30163219 30364763 32202731 33294349 34756007 38057773 38363897 38405873 39347867 39707767 45388759 45753851 46927361 47304829 49767857 50168173 51454903 59289659 59354531 59831959 61366549 61860161 65515901 67736779 70710497 73107463 77427883 77532631 78050687 80052557 80696473 84898109 87776011 91629473 93085421 96240859 101251847 102066283 104684113 105526157 120623789 121727089 124712731 125853431 137809309 143859287 148735873 157738801 158792777 162865547 163085879 164175583 172723739 174113071 178578781 180015209 186418583 192737857 205769993 207652093 212745247 212978023 214691147 245407019 253725901 269083837 278205323 318008171 320916871 323061167 328788109 331795409 334012393 354230041 363315451 366237839 379265393 382316077 392121847 415856839 418635503 422464603 429953681 432826537 436785437 499276349 516200971 547446427 566003933 646982141 652186249 652899841 668913739 675032039 720674911 745104569 771608903 777815467 797765137 804182093 846053569 851706713 852858941 874733351 880578127 933879199 965536121 1007924203 1103675417 1113770317 1141088143 1151525243 1316274011 1326861679 1360893469 1371840041 1443267853 1492192187 1515902399 1582452157 1636094603 1721281399 1735126811 1779629921 1791521017 1793944669 1899961129 1964366591 2050604413 2120116427 2245408607 2263469923 2321524153 2340197717 2342758253 2699477209 2768714299 2790984911 2936303563 2959922207 3035839277 3060258553 3498089881 3530085581 3616669199 3620626391 3649749499 3996469961 4171919323 4313340317 4574425229 4604990533 4723100863 4729490491 4761091907 5008988431 5178784649 5406138907 5492039839 5589397853 5678210681 6021910697 6176362667 6226043263 7116803551 7181898251 7358051129 7425352429 8487697933 8775416507 9306589259 9368773843 9622066861 9686359397 10272671189 10536148079 10620897331 10998696397 11087166233 11371533563 12140429587 12251473487 12551969573 12666777673 14479014121 14969828159 15875946383 16414114057 18762482089 18934095389 19398498431 19575929131 19706731187 20899572419 21608032501 22376658187 22556648543 23135188973 23321280697 24535553501 24699494677 25367267179 25536765683 25770340783 30455857289 32299339193 33394232047 38171946319 38478988691 39465910601 39783361189 39826890301 43961169571 45891112553 47068143083 47446743487 49917160571 50318677519 51609267709 51954109493 52024395401 55098872741 56966631139 59467527977 61483376383 65116849603 67324200437 67939989337 78284839061 80292714671 80938562419 85152803327 88039339033 93364677263 96529581577 102372481849 104998165339 105842735471 115897628869 120985660367 125086869193 133544725457 136969925027 138071665303 159269155331 164668109749 174635410213 179114517343 180555254627 206387302979 208275049279 213383482741 215335220441 246143240057 254487078703 269891088511 271694441447 279039938969 280904422513 305548294291 318962195513 329774473327 335014430179 355292731123 367336552517 419891409509 434125016611 438095793311 517749573913 549088766281 567701944799 571495204423 606087600151 626632942529 648923087423 654142807747 670920480217 676317140213 716285345633 740566204807 747339882707 883219861381 936680836597 968432729363 1106986443251 1144511407429 1154979818729 1274873917559 1330842264037 1364976149407 1375955561123 1447597656559 1496668763561 1506669175297 1970259690773 2270260332769 2328488725459 2347218310151 2707575640627 2799357865733 2968801973621 3044946794831 3069439328659 3361031237201 3508584150643 3627519206597 3972127825783 4618805504599 4775375182721 5194321002947 5695245313043 6039976429091 6244721392789 7138153961653 7380125282387 7879138801963 8146228252877 9715418475191 10303489202567 10652760022993 12176850875761 12589625481719 12704778006019 15014737643477 15923574222149 16463356399171 16573360928267 18818769535267 19456693926293 21672856598503 25613375980049 33494414743141 36971343609211 38594425657073 39584308332803 39902711272567 43693406083613 57137531032417 67526173038311 78519693578183 81181378106257 88303457050099 133945359633371 138485880298909 165162114078247 175159316443639 181096920390881 207006464887937 214023633189223 281747135780539 368438562174551 435427391660833 480627466919743 628512841356587 742787903421421 971338027551089 1147944941651287 2277071113767307 2354259965081453 4789701308269163 8170666937635631 10684718303061979 12627394358164157 138901337939805727
- Sum of all divisors σ(n): 187035095181513600
- Sum of proper divisors (its aliquot sum) s(n): 48133757241707873
- 138901337939805727 is a deficient number, because the sum of its proper divisors (48133757241707873) is less than itself. Its deficiency is 90767580698097854
Bases of 138901337939805727
- Binary: 1111011010111101000000111111010101011101010000110000111112
- Hexadecimal: 0x1ED7A07EABA861F
- Base-36: 11ZOEXQJ3B4V
Squares and roots of 138901337939805727
- 138901337939805727 squared (1389013379398057272) is 19293581681468113884348802501998529
- 138901337939805727 cubed (1389013379398057273) is 2679904309206847699990335238275761107103419499775583
-
The
square root of 138901337939805727 is 372694698.0301782169 -
The
cube root of 138901337939805727 is 517887.5567016439
Scales and comparisons
How big is 138901337939805727?- 138,901,337,939,805,727 seconds is equal to 4,416,632,896 years, 22 weeks, 5 days, 7 hours, 22 minutes, 7 seconds.
-
To count from 1 to 138,901,337,939,805,727 would take you about thirteen billion, two hundred forty-nine million, eight hundred ninety-eight thousand, six hundred eighty-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 138901337939805727 cubic inches would be around 43157.3 feet tall.
Recreational maths with 138901337939805727
- 138901337939805727 backwards is 727508939733109831
- The number of decimal digits it has is: 18
- The sum of 138901337939805727's digits is 85
- More coming soon!
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The information we have on file for 138901337939805727 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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