138892867664908275441936
138,892,867,664,908,275,441,936 is an even composite number composed of six prime numbers multiplied together.
What does the number 138892867664908275441936 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
138892867664908275441936 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 138892867664908275441936:
24 × 32 × 73 × 19 × 310727 × 476311140691
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 19 × 310727 × 476311140691)See below for interesting mathematical facts about the number 138892867664908275441936 from the Numbermatics database.
Names of 138892867664908275441936
- Cardinal: 138892867664908275441936 can be written as One hundred thirty-eight sextillion, eight hundred ninety-two quintillion, eight hundred sixty-seven quadrillion, six hundred sixty-four trillion, nine hundred eight billion, two hundred seventy-five million, four hundred forty-one thousand, nine hundred thirty-six.
Scientific notation
- Scientific notation: 1.38892867664908275441936 × 1023
Factors of 138892867664908275441936
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 476311451449
Divisors of 138892867664908275441936
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 49 56 57 63 72 76 84 98 112 114 126 133 144 147 152 168 171 196 228 252 266 294 304 336 342 343 392 399 441 456 504 532 588 684 686 784 798 882 912 931 1008 1029 1064 1176 1197 1368 1372 1596 1764 1862 2058 2128 2352 2394 2736 2744 2793 3087 3192 3528 3724 4116 4788 5488 5586 6174 6384 6517 7056 7448 8232 8379 9576 11172 12348 13034 14896 16464 16758 19152 19551 22344 24696 26068 33516 39102 44688 49392 52136 58653 67032 78204 104272 117306 134064 156408 234612 310727 312816 469224 621454 932181 938448 1242908 1864362 2175089 2485816 2796543 3728724 4350178 4971632 5593086 5903813 6525267 7457448 8700356 11186172 11807626 13050534 14914896 15225623 17400712 17711439 19575801 22372344 23615252 26101068 30451246 34801424 35422878 39151602 41326691 44744688 45676869 47230504 52202136 53134317 60902492 70845756 78303204 82653382 91353738 94461008 104404272 106268634 106579361 121804984 123980073 137030607 141691512 156606408 165306764 182707476 212537268 213158722 243609968 247960146 274061214 283383024 289286837 313212816 319738083 330613528 365414952 371940219 425074536 426317444 495920292 548122428 578573674 639476166 661227056 730829904 743880438 850149072 852634888 867860511 959214249 991840584 1096244856 1157147348 1278952332 1487760876 1705269776 1735721022 1918428498 1983681168 2025007859 2192489712 2314294696 2557904664 2603581533 2975521752 3471442044 3836856996 4050015718 4628589392 5115809328 5207163066 5951043504 6075023577 6942884088 7673713992 8100031436 10414326132 12150047154 13885768176 15347427984 16200062872 18225070731 20828652264 24300094308 32400125744 36450141462 41657304528 48600188616 72900282924 97200377232 145800565848 291601131696 476311140691 952622281382 1428933422073 1905244562764 2857866844146 3334177984837 3810489125528 4286800266219 5715733688292 6668355969674 7620978251056 8573600532438 9049911673129 10002533954511 11431467376584 13336711939348 17147201064876 18099823346258 20005067909022 22862934753168 23339245893859 26673423878696 27149735019387 30007601863533 34294402129752 36199646692516 40010135818044 46678491787718 53346847757392 54299470038774 60015203727066 63349381711903 68588804259504 70017737681577 72399293385032 80020271636088 81449205058161 93356983575436 108598940077548 120030407454132 126698763423806 140035475363154 144798586770064 160040543272176 162898410116322 163374721257013 186713967150872 190048145135709 210053213044731 217197880155096 240060814908264 253397526847612 280070950726308 325796820232644 326749442514026 373427934301744 380096290271418 420106426089462 434395760310192 443445671983321 480121629816528 490124163771039 506795053695224 560141901452616 570144435407127 651593640465288 653498885028052 760192580542836 840212852178924 886891343966642 980248327542078 1013590107390448 1120283802905232 1140288870814254 1303187280930576 1306997770056104 1330337015949963 1470372491313117 1520385161085672 1680425704357848 1773782687933284 1960496655084156 2280577741628508 2613995540112208 2660674031899926 2940744982626234 3040770322171344 3104119703883247 3360851408715696 3547565375866568 3920993310168312 3991011047849889 4561155483257016 5321348063799852 5881489965252468 6208239407766494 7095130751733136 7841986620336624 7982022095699778 9122310966514032 9312359111649741 10642696127599704 11762979930504936 12416478815532988 15964044191399556 18624718223299482 21285392255199408 23525959861009872 24832957631065976 27937077334949223 31928088382799112 37249436446598964 49665915262131952 55874154669898446 63856176765598224 74498872893197928 111748309339796892 148002731813492357 148997745786395856 223496618679593784 296005463626984714 444008195440477071 446993237359187568 592010927253969428 888016390880954142 1036019122694446499 1184021854507938856 1332024586321431213 1776032781761908284 2072038245388892998 2368043709015877712 2664049172642862426 2812051904456354783 3108057368083339497 3552065563523816568 4144076490777785996 5328098345285724852 5624103808912709566 6216114736166678994 7104131127047633136 7252133858861125493 8288152981555571992 8436155713369064349 9324172104250018491 10656196690571449704 11248207617825419132 12432229472333357988 14504267717722250986 16576305963111143984 16872311426738128698 18648344208500036982 19684363331194483481 21312393381142899408 21756401576583376479 22496415235650838264 24864458944666715976 25308467140107193047 29008535435444501972 33744622853476257396 37296688417000073964 39368726662388966962 43512803153166752958 44992830471301676528 49728917889333431952 50616934280214386094 50764937012027878451 58017070870889003944 59053089993583450443 65269204729750129437 67489245706952514792 74593376834000147928 78737453324777933924 87025606306333505916 101233868560428772188 101529874024055756902 116034141741778007888 118106179987166900886 130538409459500258874 134978491413905029584 137790543318361384367 149186753668000295856 152294811036083635353 157474906649555867848 174051212612667011832 177159269980750351329 202467737120857544376 203059748048111513804 236212359974333801772 261076818919000517748 275581086636722768734 304589622072167270706 314949813299111735696 348102425225334023664 354318539961500702658 404935474241715088752 406119496096223027608 413371629955084153101 456884433108250906059 472424719948667603544 522153637838001035496 551162173273445537468 609179244144334541412 708637079923001405316 812238992192446055216 826743259910168306202 913768866216501812118 944849439897335207088 964533803228529690569 1044307275676002070992 1102324346546891074936 1218358488288669082824 1240114889865252459303 1417274159846002810632 1653486519820336612404 1827537732433003624236 1929067606457059381138 2204648693093782149872 2436716976577338165648 2480229779730504918606 2834548319692005621264 2893601409685589071707 3306973039640673224808 3655075464866007248472 3858135212914118762276 4960459559461009837212 5787202819371178143414 6613946079281346449616 7310150929732014496944 7716270425828237524552 8680804229056767215121 9920919118922019674424 11574405638742356286828 15432540851656475049104 17361608458113534430242 19841838237844039348848 23148811277484712573656 34723216916227068860484 46297622554969425147312 69446433832454137720968 138892867664908275441936
- Sum of all divisors σ(n): 477162342994818733824000
- Sum of proper divisors (its aliquot sum) s(n): 338269475329910458382064
- 138892867664908275441936 is an abundant number, because the sum of its proper divisors (338269475329910458382064) is greater than itself. Its abundance is 199376607665002182940128
Bases of 138892867664908275441936
- Binary: 111010110100101100101101111101101011101001000010101001000010001100001000100002
- Hexadecimal: 0x1D6965BED74854846110
- Base-36: MM8AW6IMO9BJ8K0
Squares and roots of 138892867664908275441936
- 138892867664908275441936 squared (1388928676649082754419362) is 19291228688181722778415380892193432036107428096
- 138892867664908275441936 cubed (1388928676649082754419363) is 2679414073281106091908228589678419674362683839680115542307066743033856
-
The
square root of 138892867664908275441936 is 372683334299.9231505103 -
The
cube root of 138892867664908275441936 is 51787702.9471294479
Scales and comparisons
How big is 138892867664908275441936?- 138,892,867,664,908,275,441,936 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,892,867,664,908,275,441,936 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 138892867664908275441936 cubic inches would be around 4315641.9 feet tall.
Recreational maths with 138892867664908275441936
- 138892867664908275441936 backwards is 639144572809466768298831
- 138892867664908275441936 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 138892867664908275441936's digits is 126
- 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 138892867664908275441936 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138892867664908275441936 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138892867664908275441936/
Chicago style:
Numbermatics. 2024. "Number 138892867664908275441936 - Facts about the integer". https://numbermatics.com/n/138892867664908275441936/
The information we have on file for 138892867664908275441936 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 138892867664908275441936, math, Factors of 138892867664908275441936, curriculum, school, college, exams, university, Prime factorization of 138892867664908275441936, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, eight hundred ninety-two quintillion, eight hundred sixty-seven quadrillion, six hundred sixty-four trillion, nine hundred eight billion, two hundred seventy-five million, four hundred forty-one thousand, nine hundred thirty-six.