138807511588399536
138,807,511,588,399,536 is an even composite number composed of five prime numbers multiplied together.
What does the number 138807511588399536 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 900 divisors.
138807511588399536 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 138807511588399536:
24 × 32 × 235 × 414 × 53
(2 × 2 × 2 × 2 × 3 × 3 × 23 × 23 × 23 × 23 × 23 × 41 × 41 × 41 × 41 × 53)See below for interesting mathematical facts about the number 138807511588399536 from the Numbermatics database.
Names of 138807511588399536
- Cardinal: 138807511588399536 can be written as One hundred thirty-eight quadrillion, eight hundred seven trillion, five hundred eleven billion, five hundred eighty-eight million, three hundred ninety-nine thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.38807511588399536 × 1017
Factors of 138807511588399536
Divisors of 138807511588399536
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 53 69 72 82 92 106 123 138 144 159 164 184 207 212 246 276 318 328 368 369 414 424 477 492 529 552 636 656 738 828 848 943 954 984 1058 1104 1219 1272 1476 1587 1656 1681 1886 1908 1968 2116 2173 2438 2544 2829 2952 3174 3312 3362 3657 3772 3816 4232 4346 4761 4876 5043 5658 5904 6348 6519 6724 7314 7544 7632 8464 8487 8692 9522 9752 10086 10971 11316 12167 12696 13038 13448 14628 15088 15129 16974 17384 19044 19504 19557 20172 21689 21942 22632 24334 25392 26076 26896 28037 29256 30258 33948 34768 36501 38088 38663 39114 40344 43378 43884 45264 48668 49979 52152 56074 58512 60516 65067 67896 68921 73002 76176 77326 78228 80688 84111 86756 87768 89093 97336 99958 104304 109503 112148 115989 121032 130134 135792 137842 146004 149937 154652 156456 168222 173512 175536 178186 194672 195201 199916 206763 219006 224296 231978 242064 252333 260268 267279 275684 279841 292008 299874 309304 312912 336444 347024 347967 356372 390402 399832 413526 438012 448592 449811 463956 498847 504666 520536 534558 551368 559682 584016 599748 618608 620289 644851 672888 695934 712744 780804 799664 801837 827052 839523 876024 889249 899622 927912 997694 1009332 1041072 1069116 1102736 1119364 1149517 1199496 1240578 1289702 1345776 1391868 1425488 1496541 1561608 1585183 1603674 1654104 1679046 1752048 1778498 1799244 1855824 1934553 1995388 2018664 2049139 2138232 2238728 2299034 2398992 2481156 2518569 2579404 2667747 2783736 2825761 2993082 3123216 3170366 3207348 3308208 3358092 3448551 3556996 3598488 3652813 3869106 3990776 4037328 4098278 4276464 4477456 4489623 4598068 4755549 4962312 5037138 5158808 5335494 5567472 5651522 5803659 5986164 6147417 6340732 6414696 6436343 6716184 6897102 7113992 7196976 7305626 7738212 7981552 8003241 8196556 8477283 8979246 9196136 9511098 9924624 10074276 10317616 10345653 10670988 10958439 11303044 11473481 11607318 11972328 12294834 12681464 12829392 12872686 13432368 13794204 14227984 14266647 14611252 14831573 15476424 16006482 16393112 16954566 17958492 18392272 18442251 19022196 19309029 20148552 20452727 20691306 21341976 21916878 22606088 22946962 23214636 23944656 24589668 25362928 25431849 25745372 26438891 27588408 28533294 29222504 29663146 30952848 32012964 32786224 32875317 33909132 34420443 35916984 36459209 36884502 38044392 38618058 40297104 40905454 41382612 42683952 43833756 44494719 45212176 45893924 46429272 47130197 49179336 50863698 51490744 52877782 55176816 57066588 57927087 58445008 59326292 61358181 64025928 64992503 65750634 67818264 68840886 71833968 72918418 73769004 76088784 77236116 79316673 81810908 82765224 84014699 87667512 88989438 91787848 92858544 94260394 98358672 101727396 102981488 103261329 105755564 109377627 114133176 115854174 118652584 122716362 128051856 129985006 131501268 133484157 135636528 137681772 141390591 145836836 147538008 149765333 154472232 158633346 163621816 165530448 168029398 175335024 177978876 183575696 184074543 188520788 194977509 203454792 206522658 211511128 218755254 228266352 231708348 237305168 237950019 245432724 252044097 259970012 263002536 263890063 266968314 275363544 282781182 291673672 295076016 299530666 308944464 317266692 327243632 328132881 336058796 341126179 355957752 368149086 377041576 389955018 406909584 413045316 423022256 424171773 437510508 449295999 463416696 470412721 475900038 490865448 504088194 519940024 526005072 527780126 533936628 550727088 565562364 583347344 584932527 599061332 608094493 634533384 656265762 672117592 682252358 711915504 736298172 754083152 756132291 779910036 791670189 826090632 838561807 848343546 875021016 898591998 926833392 940825442 951800076 981730896 1008176388 1023378537 1039880048 1055560252 1067873256 1083994531 1131124728 1169865054 1198122664 1216188986 1269066768 1312531524 1344235184 1347887997 1364504716 1411238163 1472596344 1494827569 1512264582 1559820072 1583340378 1652181264 1677123614 1696687092 1750042032 1797183996 1824283479 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165340927632 167834080068 173111881328 173582294049 177775103084 194750866494 199454993704 206286204522 215255169936 223778773424 224386867917 231443058732 237677583471 248011391448 251751120102 259667821992 266662654626 275048272696 278256683088 299182490556 308590744976 309429306783 316903444628 335668160136 347164588098 355550206168 389501732988 398909987408 399993981939 412572409044 443599195903 448773735834 462886117464 475355166942 496022782896 503502240204 519335643984 533325309252 550096545392 573433106899 598364981112 618858613566 633806889256 671336320272 694329176196 711100412336 713032750413 779003465976 790763784001 799987963878 825144818088 887198391806 897547471668 925772234928 950710333884 1007004480408 1022206842733 1066650618504 1146866213798 1196729962224 1237717227132 1267613778512 1330797587709 1388658352392 1426065500826 1558006931952 1581527568002 1599975927756 1650289636176 1720299320697 1774396783612 1795094943336 1822194806611 1901420667768 2014008960816 2044413685466 2133301237008 2293732427596 2372291352003 2475434454264 2661595175418 2777316704784 2852131001652 3066620528199 3163055136004 3199951855512 3440598641394 3548793567224 3590189886672 3644389613222 3802841335536 3992392763127 4088827370932 4587464855192 4744582704006 4950868908528 5160897962091 5323190350836 5466584419833 5704262003304 6133241056398 6326110272008 6399903711024 6881197282788 7097587134448 7116874056009 7288779226444 7984785526254 8177654741864 9174929710384 9199861584597 9489165408012 10321795924182 10646380701672 10933168839666 11408524006608 12266482112796 12652220544016 13762394565576 14233748112018 14577558452888 15969571052508 16355309483728 16399753259499 18187567032023 18399723169194 18978330816024 20643591848364 21292761403344 21866337679332 23510757382859 24532964225592 27524789131152 28467496224036 29155116905776 31939142105016 32799506518998 36375134064046 36799446338388 37956661632048 41287183696728 41910480552053 43732675358664 47021514765718 49065928451184 54562701096069 56934992448072 63878284210032 65599013037996 70532272148577 72750268128092 73598892676776 82574367393456 83820961104106 87465350717328 94043029531436 109125402192138 113869984896144 125731441656159 131198026075992 141064544297154 145500536256184 147197785353552 163688103288207 167641922208212 188086059062872 211596816445731 218250804384276 251462883312318 262396052151984 282129088594308 291001072512368 327376206576414 335283844416424 376172118125744 377194324968477 423193632891462 436501608768552 502925766624636 564258177188616 654752413152828 670567688832848 754388649936954 846387265782924 873003217537104 963941052697219 1005851533249272 1128516354377232 1309504826305656 1508777299873908 1692774531565848 1927882105394438 2011703066498544 2619009652611312 2891823158091657 3017554599747816 3385549063131696 3855764210788876 5783646316183314 6035109199495632 7711528421577752 8675469474274971 11567292632366628 15423056843155504 17350938948549942 23134585264733256 34701877897099884 46269170529466512 69403755794199768 138807511588399536
- Sum of all divisors σ(n): 424133353959391440
- Sum of proper divisors (its aliquot sum) s(n): 285325842370991904
- 138807511588399536 is an abundant number, because the sum of its proper divisors (285325842370991904) is greater than itself. Its abundance is 146518330782592368
Bases of 138807511588399536
- Binary: 1111011010010010010110010010001000110000111101001101100002
- Hexadecimal: 0x1ED24B24461E9B0
- Base-36: 11YR5MI7ZM40
Squares and roots of 138807511588399536
- 138807511588399536 squared (1388075115883995362) is 19267525273363671477643805965015296
- 138807511588399536 cubed (1388075115883995363) is 2674477237662208766348886307272776117777288399302656
-
The
square root of 138807511588399536 is 372568801.1473847711 -
The
cube root of 138807511588399536 is 517770.9212880391
Scales and comparisons
How big is 138807511588399536?- 138,807,511,588,399,536 seconds is equal to 4,413,649,508 years, 35 weeks, 5 days, 45 minutes, 36 seconds.
-
To count from 1 to 138,807,511,588,399,536 would take you about thirteen billion, two hundred forty million, nine hundred forty-eight thousand, five hundred twenty-six 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 138807511588399536 cubic inches would be around 43147.6 feet tall.
Recreational maths with 138807511588399536
- 138807511588399536 backwards is 635993885115708831
- The number of decimal digits it has is: 18
- The sum of 138807511588399536's digits is 90
- More coming soon!
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The information we have on file for 138807511588399536 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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