138007316103147696128
138,007,316,103,147,696,128 is an even composite number composed of five prime numbers multiplied together.
138007316103147696128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 138007316103147696128:
212 × 7 × 11 × 316 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 31 × 31 × 31 × 31 × 31 × 31 × 79 × 79 × 79)See below for interesting mathematical facts about the number 138007316103147696128 from the Numbermatics database.
Names of 138007316103147696128
- Cardinal: 138007316103147696128 can be written as One hundred thirty-eight quintillion, seven quadrillion, three hundred sixteen trillion, one hundred three billion, one hundred forty-seven million, six hundred ninety-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38007316103147696128 × 1020
Factors of 138007316103147696128
Divisors of 138007316103147696128
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 79 88 112 124 128 154 158 176 217 224 248 256 308 316 341 352 434 448 496 512 553 616 632 682 704 868 869 896 961 992 1024 1106 1232 1264 1364 1408 1736 1738 1792 1922 1984 2048 2212 2387 2449 2464 2528 2728 2816 3472 3476 3584 3844 3968 4096 4424 4774 4898 4928 5056 5456 5632 6083 6241 6727 6944 6952 7168 7688 7936 8848 9548 9796 9856 10112 10571 10912 11264 12166 12482 13454 13888 13904 14336 15376 15872 17143 17696 19096 19592 19712 20224 21142 21824 22528 24332 24964 26908 26939 27776 27808 28672 29791 30752 31744 34286 35392 38192 39184 39424 40448 42284 43648 43687 45056 48664 49928 53816 53878 55552 55616 59582 61504 63488 68572 68651 70784 73997 75919 76384 78368 78848 80896 84568 87296 87374 97328 99856 107632 107756 111104 111232 119164 123008 126976 137144 137302 141568 147994 151838 152768 156736 157696 161792 169136 174592 174748 188573 193471 194656 199712 208537 215264 215512 222208 222464 238328 246016 274288 274604 283136 295988 303676 305536 313472 315392 323584 327701 338272 349184 349496 377146 386942 389312 399424 417074 430528 431024 444416 444928 476656 480557 492032 493039 531433 548576 549208 566272 591976 607352 611072 626944 655402 676544 698368 698992 754292 773884 778624 798848 834148 835109 861056 862048 888832 889856 923521 953312 961114 984064 986078 1062866 1097152 1098416 1132544 1183952 1214704 1222144 1253888 1310804 1353088 1354297 1396736 1397984 1508584 1547768 1557248 1597696 1668296 1670218 1722112 1724096 1779712 1847042 1906624 1922228 1968128 1972156 2125732 2128181 2194304 2196832 2265088 2293907 2353489 2367904 2429408 2444288 2507776 2621608 2706176 2708594 2795968 3017168 3095536 3114496 3195392 3336592 3340436 3444224 3448192 3451273 3559424 3694084 3813248 3844456 3936256 3944312 4251464 4256362 4388608 4393664 4587814 4706978 4735808 4858816 4888576 5015552 5243216 5412352 5417188 5423429 5591936 5845763 5997601 6034336 6191072 6228992 6390784 6464647 6673184 6680872 6888448 6896384 6902546 7388168 7626496 7688912 7888624 8502928 8512724 8777216 8787328 9175628 9413956 9471616 9717632 9777152 10031104 10158731 10486432 10824704 10834376 10846858 11183872 11691526 11995202 12068672 12382144 12457984 12781568 12929294 13346368 13361744 13776896 13792768 13805092 14776336 14897267 15252992 15284209 15377824 15777248 16474423 17005856 17025448 17554432 17574656 18351256 18827912 18943232 19435264 20317462 20972864 21649408 21668752 21693716 22367744 23383052 23990404 24137344 24764288 24915968 25563136 25858588 25888379 26692736 26723488 27553792 27585536 27610184 28629151 29552672 29794534 30505984 30568418 30755648 31554496 32948846 34011712 34050896 35108864 35149312 36702512 37655824 37886464 37964003 38870528 40634924 41945728 41983207 43298816 43337504 43387432 44735488 46766104 47980808 48274688 49528576 51717176 51776758 53385472 53446976 55171072 55220368 57258302 59105344 59589068 61011968 61136836 61511296 63108992 65897692 65973611 68023424 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427957852 441762944 458066416 461815277 472842752 473810479 476712544 489094688 492090368 504871936 510707113 527181536 527788888 544187392 544814336 568888936 583665272 587240192 602493184 607424048 629841322 650158784 671131648 671731312 672505196 693400064 694198912 724874612 743702524 748257664 767692928 772395008 792457216 801616228 802539749 827474816 828428128 854167552 855151616 855915704 883525888 887503681 916132832 923630554 945685504 947620958 953425088 978189376 984180736 1009743872 1021414226 1054363072 1055577776 1088374784 1089628672 1137777872 1167330544 1174480384 1176884093 1204986368 1214848096 1259682644 1300317568 1301479417 1342263296 1343462624 1345010392 1386800128 1388397824 1449749224 1487405048 1496515328 1535385856 1603232456 1605079498 1654949632 1656856256 1710303232 1711831408 1767051776 1775007362 1832265664 1847261108 1891371008 1895241916 1906850176 1956378752 1968361472 2019487744 2042828452 2045181941 2108726144 2111155552 2176749568 2179257344 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41314162613248 41361759574784 43189479132184 44311283784968 44582688136448 45740680036096 49359404722496 50951643584512 50997169475728 52642239458816 55031755668428 56461151919556 56806973593216 58282479400832 58639456612352 60162559381504 60928015204331 62821060555904 62893435049632 64847546380288 64922255535104 69977890239488 70121108029126 71795497778176 72383079255872 74718017296384 77544746623694 80046190063168 80138409176144 82628325226496 82723519149568 86378958264368 88622567569936 89165376272896 91481360072192 98718809444992 98807015859223 101903287169024 101994338951456 105284478917632 110063511336856 112922303839112 113613947186432 116564958801664 121856030408662 125642121111808 125786870099264 129844511070208 139955780478976 140242216058252 143590995556352 144766158511744 149436034592768 155089493247388 155268167778779 160092380126336 160276818352288 165256650452992 165447038299136 172757916528736 177245135139872 178330752545792 182962720144384 197437618889984 197614031718446 203988677902912 210568957835264 220127022673712 225844607678224 227227894372864 233129917603328 243712060817324 251284242223616 251573740198528 259689022140416 279911560957952 280484432116504 287181991112704 289532317023488 310178986494776 310536335557558 320184760252672 320553636704576 330894076598272 345515833057472 354490270279744 356661505091584 365925440288768 394875237779968 395228063436892 407977355805824 421137915670528 426496106430317 437573927376559 440254045347424 451689215356448 454455788745728 466259835206656 487424121634648 502568484447232 503147480397056 560968864233008 579064634046976 620357972989552 621072671115116 640369520505344 641107273409152 661788153196544 691031666114944 708980540559488 713323010183168 731850880577536 789750475559936 790456126873784 815954711611648 852992212860634 875147854753118 880508090694848 903378430712896 908911577491456 932519670413312 974848243269296 1005136968894464 1006294960794112 1086877174451453 1121937728466016 1158129268093952 1240715945979104 1242145342230232 1280739041010688 1282214546818304 1382063332229888 1417961081118976 1579500951119872 1580912253747568 1631909423223296 1705984425721268 1750295709506236 1761016181389696 1806756861425792 1817823154982912 1865039340826624 1949696486538592 2010273937788928 2012589921588224 2173754348902906 2243875456932032 2316258536187904 2481431891958208 2484290684460464 2561478082021376 2564429093636608 2764126664459776 2835922162237952 3063017491635913 3159001902239744 3161824507495136 3263818846446592 3411968851442536 3500591419012472 3522032362779392 3613513722851584 3899392973077184 4025179843176448 4347508697805812 4487750913864064 4632517072375808 4813313201142149 4962863783916416 4968581368920928 5122956164042752 5128858187273216 5528253328919552 5671844324475904 6126034983271826 6323649014990272 6527637692893184 6823937702885072 7001182838024944 7044064725558784 7227027445703168 7798785946154368 8050359686352896 8695017395611624 8975501827728128 9626626402284298 9925727567832832 9937162737841856 10257716374546432 11056506657839104 11343688648951808 12252069966543652 12647298029980544 13055275385786368 13647875405770144 14002365676049888 14088129451117568 14454054891406336 15597571892308736 17390034791223248 17951003655456256 19253252804568596 19851455135665664 19874325475683712 20515432749092864 22113013315678208 22687377297903616 24504139933087304 25294596059961088 27295750811540288 28004731352099776 28176258902235136 28908109782812672 31195143784617472 33693192407995043 34780069582446496 35902007310912512 38506505609137192 39702910271331328 39748650951367424 49008279866174608 50589192119922176 54591501623080576 56009462704199552 56352517804470272 57816219565625344 62390287569234944 67386384815990086 69560139164892992 71804014621825024 77013011218274384 79405820542662656 79497301902734848 98016559732349216 101178384239844352 109183003246161152 112018925408399104 124780575138469888 134772769631980172 139120278329785984 143608029243650048 154026022436548768 158811641085325312 158994603805469696 196033119464698432 202356768479688704 218366006492322304 224037850816798208 249561150276939776 269545539263960344 278240556659571968 308052044873097536 317989207610939392 392066238929396864 404713536959377408 436732012984644608 448075701633596416 539091078527920688 556481113319143936 616104089746195072 635978415221878784 784132477858793728 873464025969289216 896151403267192832 1078182157055841376 1112962226638287872 1232208179492390144 1568264955717587456 1746928051938578432 1792302806534385664 2156364314111682752 2225924453276575744 2464416358984780288 3136529911435174912 4312728628223365504 4451848906553151488 4928832717969560576 6273059822870349824 8625457256446731008 9857665435939121152 12546119645740699648 17250914512893462016 19715330871878242304 34501829025786924032 69003658051573848064 138007316103147696128
- Sum of all divisors σ(n): 360107786756201579520
- Sum of proper divisors (its aliquot sum) s(n): 222100470653053883392
- 138007316103147696128 is an abundant number, because the sum of its proper divisors (222100470653053883392) is greater than itself. Its abundance is 84093154549906187264
Bases of 138007316103147696128
- Binary: 11101111011001111000111101011001101001111010010101000110000000000002
- Hexadecimal: 0x77B3C7ACD3D2A3000
- Base-36: T4IJAMN2XIK8W
Squares and roots of 138007316103147696128
- 138007316103147696128 squared (1380073161031476961282) is 19046019297994129399057192112514226192384
- 138007316103147696128 cubed (1380073161031476961283) is 2628490005764926993118098353126320870342351270713083299889152
-
The
square root of 138007316103147696128 is 11747651514.3728917189 -
The
cube root of 138007316103147696128 is 5167740.5721386579
Scales and comparisons
How big is 138007316103147696128?- 138,007,316,103,147,696,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,007,316,103,147,696,128 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 138007316103147696128 cubic inches would be around 430645 feet tall.
Recreational maths with 138007316103147696128
- 138007316103147696128 backwards is 821696741301613700831
- 138007316103147696128 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138007316103147696128's digits is 77
- More coming soon!
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Cite this page
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"Number 138007316103147696128 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 138007316103147696128 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138007316103147696128/
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Numbermatics. 2024. "Number 138007316103147696128 - Facts about the integer". https://numbermatics.com/n/138007316103147696128/
The information we have on file for 138007316103147696128 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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