138837999473046016
138,837,999,473,046,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 138837999473046016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
138837999473046016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138837999473046016:
29 × 11 × 132 × 61 × 4561 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 13 × 61 × 4561 × 524287)See below for interesting mathematical facts about the number 138837999473046016 from the Numbermatics database.
Names of 138837999473046016
- Cardinal: 138837999473046016 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-seven trillion, nine hundred ninety-nine billion, four hundred seventy-three million, forty-six thousand and sixteen.
Scientific notation
- Scientific notation: 1.38837999473046016 × 1017
Factors of 138837999473046016
Divisors of 138837999473046016
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 44 52 61 64 88 104 122 128 143 169 176 208 244 256 286 338 352 416 488 512 572 671 676 704 793 832 976 1144 1342 1352 1408 1586 1664 1859 1952 2288 2684 2704 2816 3172 3328 3718 3904 4561 4576 5368 5408 5632 6344 6656 7436 7808 8723 9122 9152 10309 10736 10816 12688 14872 15616 17446 18244 18304 20618 21472 21632 25376 29744 31232 34892 36488 36608 41236 42944 43264 50171 50752 59293 59488 69784 72976 73216 82472 85888 86528 100342 101504 113399 118586 118976 139568 145952 164944 171776 200684 203008 226798 237172 237952 278221 279136 291904 329888 343552 401368 406016 453596 474344 475904 524287 556442 558272 583808 652223 659776 770809 802736 907192 948688 951808 1048574 1112884 1116544 1167616 1304446 1319552 1541618 1605472 1814384 1897376 2097148 2225768 2233088 2335232 2608892 2639104 3060431 3083236 3210944 3616873 3628768 3794752 4194296 4451536 4466176 5217784 5278208 5767157 6120862 6166472 6421888 6815731 7233746 7257536 7589504 8388592 8478899 8903072 10435568 11534314 12241724 12332944 12843776 13631462 14467492 14515072 15179008 16777184 16957798 17806144 20871136 23068628 24483448 24665888 25687552 27262924 28934984 29030144 30358016 31981507 33554368 33915596 35612288 39785603 41742272 46137256 47019349 48966896 49331776 54525848 57869968 58060288 63963014 67108736 67831192 71224576 74973041 79571206 83484544 88604503 92274512 94038698 97933792 98663552 109051696 115739936 127926028 134217472 135662384 142449152 149946082 159142412 166969088 177209006 184549024 188077396 195867584 197327104 218103392 231479872 255852056 268434944 271324768 299892164 318284824 333938176 351796577 354418012 369098048 376154792 391735168 394654208 415759591 436206784 462959744 511704112 517212839 542649536 599784328 636569648 703593154 708836024 738196096 752309584 783470336 831519182 872413568 925919488 974649533 1023408224 1034425678 1085299072 1199568656 1273139296 1407186308 1417672048 1476392192 1504619168 1566940672 1663038364 1744827136 1851838976 1949299066 2046816448 2068851356 2170598144 2391273007 2399137312 2546278592 2814372616 2835344096 2952784384 3009238336 3326076728 3489654272 3898598132 4093632896 4137702712 4341196288 4573355501 4782546014 4798274624 5092557184 5404874683 5628745232 5670688192 6018476672 6652153456 7797196264 8187265792 8275405424 9146711002 9565092028 9596549248 10185114368 10809749366 11257490464 11341376384 12036953344 13304306912 15594392528 16374531584 16550810848 18293422004 19130184056 19193098496 20370228736 21619498732 22514980928 22682752768 24073906688 26304003077 26608613824 31086549091 31188785056 33101621696 36586844008 38260368112 38386196992 43238997464 45029961856 45365505536 52608006154 53217227648 59453621513 62173098182 62377570112 66203243392 73173688016 76520736224 86477994928 90059923712 105216012308 106434455296 118907243026 124346196364 124755140224 132406486784 145867653427 146347376032 153041472448 172955989856 180119847424 210432024616 212868910592 237814486052 248692392728 249510280448 264812973568 291735306854 292694752064 306082944896 341952040001 345911979712 404125138183 420864049232 475628972104 497384785456 499020560896 583470613708 585389504128 612165889792 683904080002 691823959424 808250276366 841728098464 951257944208 994769570912 1166941227416 1170779008256 1224331779584 1367808160004 1383647918848 1604544187697 1616500552732 1683456196928 1896279494551 1902515888416 1989539141824 2333882454832 2341558016512 2735616320008 2767295837696 3209088375394 3233001105464 3366912393856 3792558989102 3805031776832 3979078283648 4445376520013 4667764909664 5471232640016 6418176750788 6466002210928 6733824787712 7585117978204 7610063553664 7958156567296 8890753040026 9335529819328 10942465280032 12836353501576 12932004421856 13467649575424 15170235956408 15220127107328 15916313134592 17781506080052 18671059638656 20859074440061 21884930560064 24651633429163 25672707003152 25864008843712 30340471912816 30440254214656 35563012160104 37342119277312 41718148880122 43769861120128 49303266858326 51345414006304 51728017687424 60680943825632 71126024320208 74684238554624 83436297760244 87539722240256 98606533716652 102690828012608 103456035374848 121361887651264 142252048640416 166872595520488 175079444480512 197213067433304 205381656025216 206912070749696 242723775302528 271167967720793 284504097280832 333745191040976 394426134866608 410763312050432 485447550605056 542335935441586 569008194561664 667490382081952 788852269733216 821526624100864 970895101210112 1084671870883172 1138016389123328 1334980764163904 1577704539466432 2169343741766344 2276032778246656 2669961528327808 3155409078932864 4338687483532688 5339923056655616 6310818157865728 8677374967065376 10679846113311232 12621636315731456 17354749934130752 34709499868261504 69418999736523008 138837999473046016
- Sum of all divisors σ(n): 333138524242968576
- Sum of proper divisors (its aliquot sum) s(n): 194300524769922560
- 138837999473046016 is an abundant number, because the sum of its proper divisors (194300524769922560) is greater than itself. Its abundance is 55462525296876544
Bases of 138837999473046016
- Binary: 1111011010100000001101100110001111110101010110010000000002
- Hexadecimal: 0x1ED406CC7EAB200
- Base-36: 11Z1YOG3C0SG
Squares and roots of 138837999473046016
- 138837999473046016 squared (1388379994730460162) is 19275990097677525816496501253472256
- 138837999473046016 cubed (1388379994730460163) is 2676239903023792551795019864763896820949800867332096
-
The
square root of 138837999473046016 is 372609714.6788392793 -
The
cube root of 138837999473046016 is 517808.8265001985
Scales and comparisons
How big is 138837999473046016?- 138,837,999,473,046,016 seconds is equal to 4,414,618,929 years, 5 weeks, 6 days, 7 hours, 16 seconds.
-
To count from 1 to 138,837,999,473,046,016 would take you about thirteen billion, two hundred forty-three million, eight hundred fifty-six thousand, seven hundred eighty-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 138837999473046016 cubic inches would be around 43150.7 feet tall.
Recreational maths with 138837999473046016
- 138837999473046016 backwards is 610640374999738831
- 138837999473046016 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138837999473046016's digits is 88
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138837999473046016 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138837999473046016 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138837999473046016/
Chicago style:
Numbermatics. 2024. "Number 138837999473046016 - Facts about the integer". https://numbermatics.com/n/138837999473046016/
The information we have on file for 138837999473046016 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!
Keywords: Divisors of 138837999473046016, math, Factors of 138837999473046016, curriculum, school, college, exams, university, Prime factorization of 138837999473046016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred thirty-seven trillion, nine hundred ninety-nine billion, four hundred seventy-three million, forty-six thousand and sixteen.