138831480946251324
138,831,480,946,251,324 is an even composite number composed of six prime numbers multiplied together.
What does the number 138831480946251324 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
138831480946251324 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138831480946251324:
22 × 34 × 7 × 113 × 232 × 4433
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 11 × 23 × 23 × 443 × 443 × 443)See below for interesting mathematical facts about the number 138831480946251324 from the Numbermatics database.
Names of 138831480946251324
- Cardinal: 138831480946251324 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-one trillion, four hundred eighty billion, nine hundred forty-six million, two hundred fifty-one thousand, three hundred twenty-four.
Scientific notation
- Scientific notation: 1.38831480946251324 × 1017
Factors of 138831480946251324
Divisors of 138831480946251324
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 18 21 22 23 27 28 33 36 42 44 46 54 63 66 69 77 81 84 92 99 108 121 126 132 138 154 161 162 189 198 207 231 242 252 253 276 297 308 322 324 363 378 396 414 443 462 483 484 506 529 567 594 621 644 693 726 756 759 828 847 886 891 924 966 1012 1058 1089 1134 1188 1242 1329 1331 1386 1449 1452 1518 1587 1694 1771 1772 1782 1863 1932 2079 2116 2178 2268 2277 2484 2541 2658 2662 2772 2783 2898 3036 3101 3174 3267 3388 3542 3564 3703 3726 3987 3993 4158 4347 4356 4554 4761 4873 5082 5313 5316 5324 5566 5796 5819 6202 6237 6348 6534 6831 7084 7406 7452 7623 7974 7986 8316 8349 8694 9108 9303 9317 9522 9746 9801 10164 10189 10626 11109 11132 11638 11961 11979 12404 12474 13041 13068 13662 14283 14619 14812 15246 15939 15948 15972 16698 17388 17457 18606 18634 19044 19481 19492 19602 20378 20493 21252 22218 22869 23276 23922 23958 24948 25047 26082 27324 27909 27951 28566 29238 30492 30567 30613 31878 33327 33396 34111 34914 35883 35937 37212 37268 38962 39204 40733 40756 40986 42849 43857 44436 45738 47817 47844 47916 50094 52164 52371 53603 55818 55902 57132 58443 58476 61134 61226 63756 64009 66654 68222 68607 69828 71323 71766 71874 75141 77924 81466 81972 83727 83853 85698 87714 91476 91701 91839 95634 99981 100188 102333 104742 107206 107811 111636 111804 112079 116886 122199 122268 122452 128018 131571 133308 136444 137214 142646 143451 143532 143748 150282 157113 160809 162932 167454 167706 171396 175329 175428 183402 183678 191268 192027 196249 199962 204666 209484 213969 214291 214412 215622 224158 225423 233772 234347 244398 251181 251559 256036 263142 274428 275103 275517 285292 286902 299943 300564 306999 314226 321618 334908 335412 336237 350658 366597 366804 367356 375221 384054 392498 394713 399924 409332 427938 428582 431244 448063 448316 450846 468694 471339 482427 488796 502362 503118 525987 526284 550206 551034 573804 576081 588747 589633 599886 613998 628452 641907 642873 643236 672474 701316 703041 704099 733194 750442 754677 768108 784553 784996 789426 825309 826551 855876 857164 896126 901692 920997 937388 942678 964854 1004724 1006236 1008711 1051974 1099791 1100412 1102068 1125663 1152162 1177494 1179266 1199772 1227996 1232869 1283814 1285746 1344189 1344948 1373743 1406082 1408198 1447281 1466388 1500884 1509354 1569106 1577961 1578852 1640429 1650618 1653102 1728243 1766241 1768899 1792252 1841994 1885356 1925721 1928619 1929708 2017422 2103948 2109123 2112297 2158739 2199582 2251326 2304324 2353659 2354988 2358532 2465738 2479653 2567628 2571492 2577817 2688378 2747486 2762991 2812164 2816396 2894562 3018708 3026133 3138212 3155922 3280858 3299373 3301236 3306204 3376989 3456486 3532482 3537798 3683988 3698607 3851442 3857238 4032567 4034844 4121229 4127431 4218246 4224594 4317478 4341843 4399164 4502652 4513727 4707318 4921287 4928693 4931476 4959306 5155634 5184729 5298723 5306697 5376756 5494972 5525982 5777163 5785857 5789124 6052266 6311844 6327369 6336891 6476217 6561716 6598746 6753978 6912972 7060977 7064964 7075596 7397214 7702884 7714476 7733451 8065134 8242458 8254862 8436492 8449188 8630083 8634956 8683686 9027454 9078399 9414636 9842574 9857386 9918612 10130967 10311268 10369458 10597446 10613394 11051964 11095821 11554326 11571714 12097701 12104532 12363687 12382293 12654738 12673782 12952434 13197492 13507956 13541181 13561559 14121954 14763861 14786079 14794428 15111173 15466902 15896169 15920091 16130268 16484916 16509724 17260166 17357571 17367372 18044719 18054908 18156798 18982107 19010673 19428651 19685148 19714772 20261934 20738916 21182931 21194892 21226788 22191642 23108652 23143428 23200353 23746129 24195402 24727374 24764586 25309476 25347564 25890249 25904868 27082362 27123118 28243908 28355987 29527722 29572158 30222346 30392901 30933804 31596089 31792338 31840182 33287463 34520332 34715142 36089438 36293103 36313596 37091061 37146879 37964214 38021346 38857302 40523868 40623543 40684677 42365862 44291583 44358237 44383284 45333519 46400706 47492258 47760273 48390804 49454748 49529172 49650997 51780498 54134157 54164724 54246236 56711974 57032019 58285953 59055444 59144316 60444692 60785802 63192178 63548793 63584676 63680364 66574926 69430284 69601059 71238387 72178876 72586206 74182122 74293758 75928428 76042692 77670747 77714604 81247086 81369354 84731724 85067961 86938307 88583166 88716474 90667038 92801412 94788267 94930913 94984516 95520546 99301994 99862389 103560996 103815721 108268314 111273183 111440637 113423948 114064038 116571906 121571604 121870629 122054031 126384356 127097586 132874749 133074711 133149852 136000557 139202118 142476774 145172412 148364244 148587516 148952991 155341494 162402471 162494172 162738708 166222903 170135922 173876614 174857859 177166332 177432948 181334076 189576534 189861826 191041092 198491909 198603988 199724778 207631442 208803177 213715161 216536628 222546366 222881274 228128076 233012241 233143812 243741258 244108062 254195172 255203883 260814921 261207419 265749498 266149422 272001114 278404236 284364801 284792739 284953548 297905982 310682988 311447163 311915857 324804942 332445806 334321911 340271844 347556979 347753228 349715718 365611887 366162093 379153068 379723652 396983818 399224133 399449556 408001671 415262884 417606354 427430322 445092732 445762548 446858973 466024482 487207413 487482516 488216124 498668709 510407766 521629842 522414838 531498996 532298844 544002228 546160967 568729602 569585478 595475727 595811964 608568149 622894326 623831714 641145483 649609884 664891612 668643822 695113958 699036723 699431436 726710047 731223774 732324186 765611649 782444763 783622257 793967636 798448266 816003342 835212708 853094403 854378217 854860644 893717946 932048964 934341489 935747571 956321377 974414826 997337418 1020815532 1042670937 1043259684 1044829676 1092321934 1098486279 1137459204 1139170956 1141972931 1190951454 1217136298 1224005013 1245788652 1247663428 1282290966 1337287644 1340576919 1390227916 1398073446 1453420094 1461622239 1462447548 1464648372 1496006127 1531223298 1564889526 1567244514 1596896532 1632006684 1638482901 1706188806 1708756434 1786427181 1787435892 1825704447 1828451933 1868682978 1871495142 1912642754 1923436449 1948829652 1994674836 1999581061 2085341874 2180130141 2183410999 2184643868 2196972558 2283945862 2296834947 2347334289 2350866771 2381902908 2434272596 2448010026 2559283209 2563134651 2564581932 2681153838 2796146892 2803024467 2807242713 2868964131 2906840188 2923244478 2992012254 3062446596 3128012811 3129779052 3134489028 3276965802 3412377612 3417512868 3425918793 3572854362 3651408894 3656903866 3737365956 3742990284 3823126769 3825285508 3846872898 3999162122 4021730757 4170683748 4360260282 4366821998 4393945116 4488018381 4567891724 4593669894 4694668578 4701733542 4896020052 4915448703 5118566418 5126269302 5359281543 5362307676 5477113341 5485355799 5606048934 5614485426 5737928262 5846488956 5984024508 5998743183 6007770637 6256025622 6540390423 6550232997 6553931604 6694249639 6851837586 7042002867 7052600313 7145708724 7302817788 7313807732 7646253538 7689403953 7693745796 7993810517 7998324244 8043461514 8409073401 8421728139 8606892393 8720520564 8733643996 8976036762 9187339788 9384038433 9389337156 9403467084 9830897406 10237132836 10252538604 10277756379 10519535147 10718563086 10954226682 10970711598 11212097868 11228970852 11469380307 11475856524 11997486366 12015541274 12512051244 12561702241 13080780846 13100465994 13388499278 13464055143 13703675172 13997067427 14084005734 14105200626 14746346109 15292507076 15378807906 15987621034 16077844629 16086923028 16431340023 16456067397 16818146802 16843456278 17213784786 17952073524 17996229549 18023311911 18768076866 19621171269 19650698991 19661794812 20082748917 20555512758 21039070294 21157800939 21437126172 21908453364 21941423196 21995391671 22938760614 23981431551 23994972732 24031082548 25123404482 25265184417 25820677179 26161561692 26200931988 26776998556 26928110286 27994134854 28152115299 28168011468 28210401252 29492692218 30757615812 30833269137 31558605441 31975242068 32155689258 32862680046 32912134794 33636293604 33686912556 34408140921 34427569572 35992459098 36046623822 37536153732 37685106723 39242342538 39301397982 40165497834 41111025516 41991202281 42054394459 42078140588 42315601878 43990783342 44239038327 45877521228 45990364403 47962863102 49294020069 49368202191 50246808964 50530368834 51641354358 53856220572 53988688647 54069935733 55988269708 56304230598 58863513807 58952096973 58985384436 60248246751 61666538274 63117210882 64311378516 65725360092 65824269588 65986175013 68816281842 71944294653 71984918196 72093247644 73636746029 75370213446 77462031537 78484685076 78602795964 80330995668 83982404562 84108788918 84631203756 87931915687 87981566684 88478076654 91980728806 92499807411 94675816323 95925726204 98588040138 98736404382 101060737668 103224422763 103282708716 107977377294 108139871466 112608461196 113055320169 115714886617 117727027614 117904193946 120496493502 123333076548 125973606843 126163183377 126234421764 131972350026 137632563684 137971093209 138178724651 143888589306 147273492058 148104606573 150740426892 153967741697 154924063074 161966065941 162209807199 167964809124 168217577836 175863831374 176856290919 176956153308 180744740253 183961457612 184999614822 189351632646 197176080276 197472808764 197958525039 206448845526 215832883959 215954754588 216279742932 220910238087 226110640338 231429773234 235454055228 235808387892 240992987004 241949308381 251947213686 252326366754 263795747061 263944700052 275942186418 276357449302 284027448969 287777178612 294546984116 296209213146 307935483394 309673268289 309848126148 321932550821 323932131882 324419614398 339165960507 347144659851 351727662748 353712581838 361489480506 369999229644 377920820529 378489550131 378703265292 395917050078 412897691052 413913279627 414536173953 431665767918 441820476174 452221280676 461903225091 462859546468 483898616762 486629421597 503894427372 504652733508 505894008433 527591494122 542234220759 551884372836 552714898604 568054897938 592418426292 593875575117 615870966788 619346536578 643865101642 647498651877 647864263764 648839228796 662730714261 678331921014 694289319702 707425163676 722978961012 725847925143 755841641058 756979100262 791387241183 791834100156 810004206319 827826559254 829072347906 852082346907 863331535836 883640952348 923806450182 965797652463 967251072557 967797233524 973258843194 1011788016866 1017497881521 1041433979553 1055182988244 1084468441518 1133762461587 1135468650393 1136109795876 1187751150234 1238693073156 1241739838881 1243608521859 1287730203284 1294997303754 1325461428522 1356663842028 1385709675273 1388578639404 1451695850286 1511683282116 1513958200524 1517682025299 1582774482366 1620008412638 1655653118508 1658144695812 1693645158667 1704164693814 1781626725351 1847612900364 1931595304926 1934502145114 1946517686388 1988192142783 2023576033732 2034995763042 2082867959106 2168936883036 2177543775429 2267524923174 2270937300786 2374161723549 2375502300468 2430012618957 2483479677762 2487217043718 2589994607508 2650922857044 2661442392191 2771419350546 2897392957389 2901753217671 2903391700572 3035364050598 3124301938659 3165548964732 3240016825276 3387290317334 3406405951179 3408329387628 3541258059031 3563253450702 3725219516643 3730825565577 3863190609852 3869004290228 3976384285566 4069991526084 4157129025819 4165735918212 4355087550858 4535049846348 4541874601572 4553046075897 4748323447098 4860025237914 4966959355524 4974434087436 5080935476001 5322884784382 5542838701092 5564834092763 5794785914778 5803506435342 5964576428349 6070728101196 6248603877318 6532631326287 6774580634668 6812811902358 7082516118062 7122485170647 7126506901404 7290037856871 7450439033286 7461651131154 7952768571132 7984327176573 8314258051638 8692178872167 8705259653013 8710175101716 9106092151794 9372905815977 9496646894196 9720050475828 10161870952002 10623774177093 10645769568764 11129668185526 11192476696731 11589571829556 11607012870684 11929152856698 12471387077457 12497207754636 13065262652574 13625623804716 13659138227691 14165032236124 14244970341294 14580075713742 14900878066572 14923302262308 15242806428003 15968654353146 16628516103276 16694502278289 17384357744334 17410519306026 18212184303588 18630096745337 18745811631954 19597893978861 20323741904004 21247548354186 21870113570613 22259336371052 22384953393462 23858305713396 23952981529719 24942774154914 26076536616501 26115778959039 26130525305148 27318276455382 28489940682588 29160151427484 30485612856006 31871322531279 31937308706292 33389004556578 34768715488668 34821038612052 37260193490674 37491623263908 38953838649341 39195787957722 40977414683073 42495096708372 43740227141226 44769906786924 45728419284009 47905963059438 49885548309828 50083506834867 52153073233002 52231557918078 54636552910764 55890290236011 60971225712012 61213175020393 63742645062558 65610340711839 66778009113156 71858944589157 74520386981348 77907677298682 78347336877117 78391575915444 81954829366146 87480454282452 91456838568018 95613967593837 95811926118876 100167013669734 104306146466004 104463115836156 111780580472022 116861515948023 122426350040786 127485290125116 131220681423678 137185257852027 143717889178314 150250520504601 155815354597364 156694673754234 163909658732292 167670870708033 182913677136036 183639525061179 191227935187674 200334027339468 215576833767471 223561160944044 233723031896046 244852700081572 262441362847356 274370515704054 286841902781511 287435778356628 300501041009202 313389347508468 335341741416066 350584547844069 367279050122358 382455870375348 428492225142751 431153667534942 450751561513803 467446063792092 503012612124099 548741031408108 550918575183537 573683805563022 601002082018404 670683482832132 701169095688138 734558100244716 856984450285502 862307335069884 901503123027606 1006025224248198 1051753643532207 1101837150367074 1147367611126044 1285476675428253 1402338191376276 1509037836372297 1652755725550611 1713968900571004 1803006246055212 2012050448496396 2103507287064414 2203674300734148 2570953350856506 3018075672744594 3155260930596621 3305511451101222 3856430026284759 4207014574128828 4958267176651833 5141906701713012 6036151345489188 6310521861193242 6611022902202444 7712860052569518 9916534353303666 11569290078854277 12621043722386484 15425720105139036 19833068706607332 23138580157708554 34707870236562831 46277160315417108 69415740473125662 138831480946251324
- Sum of all divisors σ(n): 478004781481920000
- Sum of proper divisors (its aliquot sum) s(n): 339173300535668676
- 138831480946251324 is an abundant number, because the sum of its proper divisors (339173300535668676) is greater than itself. Its abundance is 200341819589417352
Bases of 138831480946251324
- Binary: 1111011010011101001111111000100010111000101010110001111002
- Hexadecimal: 0x1ED3A7F1171563C
- Base-36: 11YZNHVKS7R0
Squares and roots of 138831480946251324
- 138831480946251324 squared (1388314809462513242) is 19274180101729344421150608171752976
- 138831480946251324 cubed (1388314809462513243) is 2675862967547853885693929083550336438410952940940224
-
The
square root of 138831480946251324 is 372600967.4521140103 -
The
cube root of 138831480946251324 is 517800.7225623977
Scales and comparisons
How big is 138831480946251324?- 138,831,480,946,251,324 seconds is equal to 4,414,411,660 years, 6 weeks, 3 days, 7 hours, 35 minutes, 24 seconds.
-
To count from 1 to 138,831,480,946,251,324 would take you about thirteen billion, two hundred forty-three million, two hundred thirty-four thousand, nine hundred eighty 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 138831480946251324 cubic inches would be around 43150.1 feet tall.
Recreational maths with 138831480946251324
- 138831480946251324 backwards is 423152649084138831
- The number of decimal digits it has is: 18
- The sum of 138831480946251324's digits is 72
- 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 138831480946251324 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138831480946251324 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138831480946251324/
Chicago style:
Numbermatics. 2024. "Number 138831480946251324 - Facts about the integer". https://numbermatics.com/n/138831480946251324/
The information we have on file for 138831480946251324 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 138831480946251324, math, Factors of 138831480946251324, curriculum, school, college, exams, university, Prime factorization of 138831480946251324, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred thirty-one trillion, four hundred eighty billion, nine hundred forty-six million, two hundred fifty-one thousand, three hundred twenty-four.