138488378317143750
138,488,378,317,143,750 is an even composite number composed of five prime numbers multiplied together.
138488378317143750 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138488378317143750:
2 × 35 × 55 × 73 × 6433
(2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 643 × 643 × 643)See below for interesting mathematical facts about the number 138488378317143750 from the Numbermatics database.
Names of 138488378317143750
- Cardinal: 138488378317143750 can be written as One hundred thirty-eight quadrillion, four hundred eighty-eight trillion, three hundred seventy-eight billion, three hundred seventeen million, one hundred forty-three thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3848837831714375 × 1017
Factors of 138488378317143750
Divisors of 138488378317143750
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 81 90 98 105 125 126 135 147 150 162 175 189 210 225 243 245 250 270 294 315 343 350 375 378 405 441 450 486 490 525 567 625 630 643 675 686 735 750 810 875 882 945 1029 1050 1125 1134 1215 1225 1250 1286 1323 1350 1470 1575 1701 1715 1750 1875 1890 1929 2025 2058 2205 2250 2430 2450 2625 2646 2835 3087 3125 3150 3215 3375 3402 3430 3675 3750 3858 3969 4050 4375 4410 4501 4725 5145 5250 5625 5670 5787 6075 6125 6174 6250 6430 6615 6750 7350 7875 7938 8505 8575 8750 9002 9261 9375 9450 9645 10125 10290 11025 11250 11574 11907 12150 12250 13125 13230 13503 14175 15435 15750 16075 16875 17010 17150 17361 18375 18522 18750 19290 19845 20250 21875 22050 22505 23625 23814 25725 26250 27006 27783 28125 28350 28935 30375 30625 30870 31507 32150 33075 33750 34722 36750 39375 39690 40509 42525 42875 43750 45010 46305 47250 48225 50625 51450 52083 55125 55566 56250 57870 59535 60750 61250 63014 65625 66150 67515 70875 77175 78750 80375 81018 83349 84375 85050 85750 86805 91875 92610 94521 96450 99225 101250 104166 110250 112525 118125 119070 121527 128625 131250 135030 138915 141750 144675 151875 153125 154350 156249 157535 160750 165375 166698 168750 173610 183750 189042 196875 198450 202545 212625 214375 220549 225050 231525 236250 241125 243054 253125 257250 260415 275625 277830 283563 289350 297675 303750 306250 312498 315070 330750 337575 354375 364581 385875 393750 401875 405090 413449 416745 425250 428750 434025 441098 459375 463050 472605 482250 496125 506250 520830 551250 562625 567126 590625 595350 607635 643125 661647 675150 694575 708750 723375 729162 759375 771750 781245 787675 803750 826875 826898 833490 850689 868050 918750 945210 992250 1012725 1063125 1071875 1093743 1102745 1125250 1157625 1181250 1205625 1215270 1240347 1286250 1302075 1323294 1378125 1389150 1417815 1446750 1488375 1518750 1562490 1575350 1653750 1687875 1701378 1771875 1822905 1929375 1984941 2009375 2025450 2067245 2083725 2126250 2143750 2170125 2187486 2205490 2315250 2363025 2411250 2480625 2480694 2552067 2604150 2756250 2813125 2835630 2894143 2976750 3038175 3215625 3308235 3375750 3472875 3543750 3616875 3645810 3721041 3858750 3906225 3938375 3969882 4018750 4134375 4134490 4167450 4253445 4340250 4726050 4961250 5063625 5104134 5315625 5468715 5513725 5626250 5788125 5788286 5954823 6028125 6076350 6201735 6431250 6510375 6616470 6945750 7089075 7233750 7441875 7442082 7656201 7812450 7876750 8268750 8439375 8506890 8682429 9114525 9646875 9924705 10127250 10336225 10418625 10631250 10850625 10937430 11027450 11163123 11576250 11815125 11909646 12056250 12403125 12403470 12760335 13020750 14065625 14178150 14470715 14883750 15190875 15312402 16541175 16878750 17364375 17364858 17864469 18084375 18229050 18605205 19293750 19531125 19691875 19849410 20259001 20672450 20837250 21267225 21701250 22326246 23630250 24806250 25318125 25520670 26047287 27343575 27568625 28131250 28940625 28941430 29774115 30381750 31008675 32551875 33082350 33489369 34728750 35445375 35728938 36168750 37209375 37210410 38281005 39062250 39383750 40518002 42196875 42534450 43412145 45572625 49623525 50636250 51681125 52093125 52094574 53593407 54253125 54687150 55137250 55815615 57881250 59075625 59548230 60777003 62017350 63801675 65103750 66978738 70890750 72353575 74418750 75954375 76562010 78141861 82705875 84393750 86821875 86824290 89322345 91145250 93026025 97655625 98459375 99247050 100468107 101295005 103362250 104186250 106336125 107186814 108506250 111631230 118151250 121554006 126590625 127603350 130236435 136717875 137843125 141813007 144707150 148870575 151908750 155043375 156283722 162759375 165411750 167446845 173643750 177226875 178644690 182331009 186052050 191405025 195311250 196918750 200936214 202590010 212672250 217060725 227863125 234425583 248117625 253181250 258405625 260465625 260472870 265847707 267967035 273435750 275686250 279078075 283626014 295378125 297741150 303885015 310086750 319008375 325518750 334893690 354453750 361767875 364662018 379771875 382810050 390709305 413529375 425439021 434121450 446611725 455726250 465130125 468851166 488278125 496235250 502340535 506475025 516811250 520931250 531680625 531695414 535934070 546993027 558156150 590756250 607770030 638016750 651182175 683589375 689215625 703276749 709065035 723535750 744352875 759543750 775216875 781418610 797543121 827058750 837234225 850878042 886134375 893223450 911655045 930260250 957025125 976556250 1004681070 1012950050 1063361250 1085303625 1093986054 1139315625 1172127915 1240588125 1276317063 1292028125 1302364350 1329238535 1339835175 1367178750 1378431250 1395390375 1406553498 1418130070 1488705750 1519425075 1550433750 1595041875 1595086242 1640979081 1674468450 1772268750 1808839375 1823310090 1860933949 1914050250 1953546525 2067646875 2127195105 2170607250 2233058625 2278631250 2325650625 2344255830 2392629363 2481176250 2511702675 2532375125 2552634126 2584056250 2658403125 2658477070 2679670350 2734965135 2790780750 3038850150 3190083750 3255910875 3281958162 3417946875 3516383745 3545325175 3617678750 3721764375 3721867898 3828951189 3876084375 3907093050 3987715605 4135293750 4186171125 4254390210 4466117250 4558275225 4651301250 4785125625 4785258726 4922937243 5023405350 5064750250 5316806250 5426518125 5469930270 5582801847 5860639575 6202940625 6381585315 6511821750 6646192675 6699175875 6835893750 6976951875 7032767490 7090650350 7177888089 7443528750 7597125375 7657902378 7752168750 7975209375 7975431210 8204895405 8372342250 9044196875 9116550450 9304669745 9570251250 9767732625 9845874486 10635975525 10853036250 11165293125 11165603694 11486853567 11628253125 11721279150 11963146815 12405881250 12558513375 12661875625 12763170630 13026537643 13292385350 13398351750 13674825675 13953903750 14355776178 15194250750 15950418750 16279554375 16409790810 16748405541 17581918725 17726625875 18088393750 18608821875 18609339490 19144755945 19535465250 19938578025 20930855625 21271951050 21533664267 22330586250 22791376125 22973707134 23256506250 23925628125 23926293630 24614686215 25117026750 25323751250 26053075286 27132590625 27349651350 27914009235 29303197875 31907926575 32559108750 33230963375 33495879375 33496811082 34460560701 34884759375 35163837450 35453251750 35889440445 37217643750 37985626875 38289511890 39079612929 39877156050 41024477025 41861711250 43067328534 45582752250 46523348725 47851256250 48838663125 49229372430 50245216623 53179877625 54265181250 55826465625 55828018470 57434267835 58606395750 59815734075 62792566875 63309378125 63815853150 64600992801 65132688215 66461926750 66991758750 68374128375 68921121402 69769518750 71778880890 75971253750 78159225858 81397771875 82048954050 83742027705 87909593625 88633129375 91185763501 93046697450 95723779725 97677326250 99692890125 100490433246 104654278125 106359755250 107668321335 111652931250 113956880625 114868535670 117238838787 119631468150 123073431075 125585133750 126618756250 129201985602 130265376430 136748256750 139570046175 146515989375 150735649869 159539632875 162795543750 166154816875 167479396875 167484055410 172302803505 175819187250 177266258750 179447202225 182371527002 189928134375 191447559450 195398064645 199385780250 205122385125 209308556250 215336642670 227913761250 232616743625 234477677574 244193315625 246146862150 251226083115 265899388125 273557290503 279140092350 287171339175 293031978750 299078670375 301471299738 313962834375 319079265750 323004964005 325663441075 332309633750 334958793750 341870641875 344605607010 351716516361 358894404450 379856268750 390796129290 410244770250 418710138525 439547968125 443165646875 452206949607 455928817505 465233487250 478618898625 488386631250 498464450625 502452166230 531798776250 538341606675 547114581006 569784403125 574342678350 586194193935 598157340750 615367155375 627925668750 646009928010 651326882150 683741283750 697850230875 703433032722 732579946875 753678249345 797698164375 820671871509 830774084375 837420277050 861514017525 879095936250 886331293750 897236011125 904413899214 911857635010 957237797250 976990323225 996928901250 1025611925625 1055149549083 1076683213350 1139568806250 1163083718125 1172388387870 1230734310750 1256130415575 1329496940625 1367786452515 1395700461750 1435856695875 1465159893750 1495393351875 1507356498690 1595396328750 1615024820025 1628317205375 1641343743018 1661548168750 1709353209375 1723028035050 1758582581805 1794472022250 1953980646450 2051223851250 2093550692625 2110299098166 2197739840625 2261034748035 2279644087525 2326167436250 2393094493125 2462015614527 2492322253125 2512260831150 2658993881250 2691708033375 2735572905030 2871713391750 2930970969675 2990786703750 3076835776875 3165448647249 3230049640050 3256634410750 3418706418750 3489251154375 3517165163610 3768391246725 3988490821875 4103359357545 4187101385250 4307570087625 4395479681250 4486180055625 4522069496070 4559288175050 4786188986250 4884951616125 4924031229054 4984644506250 5128059628125 5275747745415 5383416066750 5815418590625 5861941939350 6153671553750 6280652077875 6330897294498 6838932262575 6978502308750 7179283479375 7386046843581 7476966759375 7536782493450 7976981643750 8075124100125 8141586026875 8206718715090 8615140175250 8792912909025 8972360111250 9769903232250 10256119256250 10467753463125 10551495490830 11305173740175 11398220437625 11630837181250 11965472465625 12310078072635 12561304155750 13458540166875 13677864525150 14358566958750 14654854848375 14772093687162 14953933518750 15384178884375 15827243236245 16150248200250 16283172053750 17446255771875 17585825818050 18841956233625 20516796787725 20935506926250 21537850438125 22158140530743 22430900278125 22610347480350 22796440875250 23930944931250 24424758080625 24620156145270 26378738727075 26917080333750 29309709696750 30768357768750 31403260389375 31654486472490 34194661312875 34892511543750 35896417396875 36930234217905 37683912467250 40375620500625 40707930134375 41033593575450 43075700876250 43964564545125 44316281061486 44861800556250 48849516161250 52338767315625 52757477454150 56525868700875 56991102188125 61550390363175 62806520778750 67292700834375 68389322625750 71792834793750 73274274241875 73860468435810 79136216181225 80751241001250 81415860268750 87929129090250 94209781168125 102583983938625 104677534631250 107689252190625 110790702653715 113051737401750 113982204376250 122123790403125 123100780726350 131893693635375 134585401668750 146548548483750 157016301946875 158272432362450 170973306564375 184651171089525 188419562336250 201878102503125 205167967877250 215378504381250 219822822725625 221581405307430 244247580806250 263787387270750 282629343504375 284955510940625 307751951815875 314032603893750 341946613128750 366371371209375 369302342179050 395681080906125 403756205006250 439645645451250 471048905840625 512919919693125 553953513268575 565258687008750 569911021881250 615503903631750 659468468176875 732742742418750 791362161812250 854866532821875 923255855447625 942097811681250 1025839839386250 1099114113628125 1107907026537150 1318936936353750 1413146717521875 1538759759079375 1709733065643750 1846511710895250 1978405404530625 2198228227256250 2564599598465625 2769767566342875 2826293435043750 3077519518158750 3297342340884375 3956810809061250 4616279277238125 5129199196931250 5539535132685750 6594684681768750 7693798795396875 9232558554476250 9892027022653125 13848837831714375 15387597590793750 19784054045306250 23081396386190625 27697675663428750 46162792772381250 69244189158571875 138488378317143750
- Sum of all divisors σ(n): 454280120461440000
- Sum of proper divisors (its aliquot sum) s(n): 315791742144296250
- 138488378317143750 is an abundant number, because the sum of its proper divisors (315791742144296250) is greater than itself. Its abundance is 177303363827152500
Bases of 138488378317143750
- Binary: 1111011000000001001110010010000110001110011111110110001102
- Hexadecimal: 0x1EC0272431CFEC6
- Base-36: 11VM16PE26DI
Squares and roots of 138488378317143750
- 138488378317143750 squared (1384883783171437502) is 19179030928912331161255158164062500
- 138488378317143750 cubed (1384883783171437503) is 2656072891039411836882323423996789082618896484375000
-
The
square root of 138488378317143750 is 372140266.9923583397 -
The
cube root of 138488378317143750 is 517373.8132805073
Scales and comparisons
How big is 138488378317143750?- 138,488,378,317,143,750 seconds is equal to 4,403,502,057 years, 41 weeks, 6 days, 22 minutes, 30 seconds.
-
To count from 1 to 138,488,378,317,143,750 would take you about thirteen billion, two hundred ten million, five hundred six thousand, one hundred seventy-three 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 138488378317143750 cubic inches would be around 43114.5 feet tall.
Recreational maths with 138488378317143750
- 138488378317143750 backwards is 057341713873884831
- 138488378317143750 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138488378317143750's digits is 81
- 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 138488378317143750 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138488378317143750 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138488378317143750/
Chicago style:
Numbermatics. 2024. "Number 138488378317143750 - Facts about the integer". https://numbermatics.com/n/138488378317143750/
The information we have on file for 138488378317143750 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 138488378317143750, math, Factors of 138488378317143750, curriculum, school, college, exams, university, Prime factorization of 138488378317143750, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred eighty-eight trillion, three hundred seventy-eight billion, three hundred seventeen million, one hundred forty-three thousand, seven hundred fifty.