138932678836224
138,932,678,836,224 is an even composite number composed of five prime numbers multiplied together.
What does the number 138932678836224 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138932678836224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138932678836224:
214 × 33 × 72 × 13 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 79 × 79 × 79)See below for interesting mathematical facts about the number 138932678836224 from the Numbermatics database.
Names of 138932678836224
- Cardinal: 138932678836224 can be written as One hundred thirty-eight trillion, nine hundred thirty-two billion, six hundred seventy-eight million, eight hundred thirty-six thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38932678836224 × 1014
Factors of 138932678836224
Divisors of 138932678836224
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 79 84 91 96 98 104 108 112 117 126 128 144 147 156 158 168 182 189 192 196 208 216 224 234 237 252 256 273 288 294 312 316 336 351 364 378 384 392 416 432 441 448 468 474 504 512 546 553 576 588 624 632 637 672 702 711 728 756 768 784 819 832 864 882 896 936 948 1008 1024 1027 1092 1106 1152 1176 1248 1264 1274 1323 1344 1404 1422 1456 1512 1536 1568 1638 1659 1664 1728 1764 1792 1872 1896 1911 2016 2048 2054 2133 2184 2212 2304 2352 2457 2496 2528 2548 2646 2688 2808 2844 2912 3024 3072 3081 3136 3276 3318 3328 3456 3528 3584 3744 3792 3822 3871 4032 4096 4108 4266 4368 4424 4608 4704 4914 4977 4992 5056 5096 5292 5376 5616 5688 5733 5824 6048 6144 6162 6241 6272 6552 6636 6656 6912 7056 7168 7189 7488 7584 7644 7742 8064 8192 8216 8532 8736 8848 9216 9243 9408 9828 9954 9984 10112 10192 10584 10752 11232 11376 11466 11613 11648 12096 12288 12324 12482 12544 13104 13272 13312 13824 14112 14336 14378 14931 14976 15168 15288 15484 16128 16384 16432 17064 17199 17472 17696 18432 18486 18723 18816 19656 19908 19968 20224 20384 21168 21504 21567 22464 22752 22932 23226 23296 24192 24576 24648 24964 25088 26208 26544 26624 27648 27729 28224 28672 28756 29862 29952 30336 30576 30968 32256 32864 34128 34398 34839 34944 35392 36864 36972 37446 37632 39312 39816 39936 40448 40768 42336 43008 43134 43687 44928 45504 45864 46452 46592 48384 49152 49296 49928 50176 50323 52416 53088 53248 55296 55458 56169 56448 57344 57512 59724 59904 60672 61152 61936 64512 64701 65728 68256 68796 69678 69888 70784 73728 73944 74892 75264 78624 79632 79872 80896 81133 81536 84672 86016 86268 87374 89856 91008 91728 92904 93184 96768 98592 99856 100352 100646 104517 104832 106176 106496 110592 110916 112338 112896 114688 115024 119448 119808 121344 122304 123872 129024 129402 131061 131456 136512 137592 139356 139776 141568 147456 147888 149784 150528 150969 157248 159264 159744 161792 162266 163072 168507 169344 172032 172536 174748 179712 182016 183456 185808 186368 193536 194103 197184 199712 200704 201292 209034 209664 212352 212992 221184 221832 224676 225792 230048 238896 239616 242688 243399 244608 247744 258048 258804 262122 262912 273024 275184 278712 279552 283136 295776 299568 301056 301938 305809 314496 318528 319488 323584 324532 326144 337014 338688 344064 345072 349496 359424 364032 366912 371616 372736 387072 388206 393183 394368 399424 401408 402584 418068 419328 424704 442368 443664 449352 451584 452907 460096 477792 479232 485376 486798 489216 493039 495488 516096 517608 524244 525824 546048 550368 557424 559104 566272 567931 591552 599136 602112 603876 611618 628992 637056 638976 647168 649064 652288 674028 677376 690144 698992 718848 728064 730197 733824 743232 745472 774144 776412 786366 788736 798848 802816 805168 836136 838656 849408 887328 898704 903168 905814 917427 920192 955584 958464 970752 973596 978432 986078 990976 1032192 1035216 1048488 1051648 1092096 1100736 1114848 1118208 1132544 1135862 1179549 1183104 1198272 1204224 1207752 1223236 1257984 1274112 1294336 1298128 1304576 1348056 1354752 1358721 1380288 1397984 1437696 1456128 1460394 1467648 1479117 1486464 1490944 1548288 1552824 1572732 1577472 1597696 1610336 1672272 1677312 1698816 1703793 1774656 1797408 1806336 1811628 1834854 1840384 1911168 1916928 1941504 1947192 1956864 1972156 1981952 2070432 2096976 2103296 2184192 2190591 2201472 2229696 2236416 2265088 2271724 2359098 2366208 2396544 2408448 2415504 2446472 2515968 2548224 2596256 2609152 2696112 2709504 2717442 2752281 2760576 2795968 2875392 2912256 2920788 2935296 2958234 2972928 3096576 3105648 3145464 3154944 3195392 3220672 3344544 3354624 3397632 3407586 3451273 3549312 3594816 3612672 3623256 3669708 3680768 3822336 3883008 3894384 3913728 3944312 3963904 3975517 4140864 4193952 4206592 4368384 4381182 4402944 4437351 4459392 4472832 4530176 4543448 4718196 4732416 4793088 4831008 4892944 5031936 5096448 5111379 5192512 5218304 5392224 5419008 5434884 5504562 5521152 5591936 5750784 5824512 5841576 5870592 5916468 5945856 6211296 6290928 6309888 6390784 6409507 6441344 6689088 6709248 6795264 6815172 6902546 7098624 7189632 7225344 7246512 7339416 7361536 7644672 7788768 7827456 7888624 7927808 7951034 8256843 8281728 8387904 8413184 8736768 8762364 8805888 8874702 8918784 9060352 9086896 9436392 9464832 9586176 9662016 9785888 10063872 10192896 10222758 10353819 10385024 10436608 10784448 10838016 10869768 11009124 11042304 11183872 11649024 11683152 11741184 11832936 11891712 11926551 12422592 12581856 12619776 12781568 12819014 12882688 13312053 13378176 13418496 13590528 13630344 13805092 14197248 14379264 14493024 14678832 14723072 15289344 15334137 15577536 15654912 15777248 15855616 15902068 16513686 16563456 16775808 16826368 17473536 17524728 17611776 17749404 17837568 18173792 18872784 18929664 19172352 19228521 19324032 19571776 20127744 20385792 20445516 20707638 20770048 21568896 21676032 21739536 22018248 22084608 22367744 23366304 23482368 23665872 23783424 23853102 24158911 24845184 25163712 25239552 25563136 25638028 25765376 26624106 26756352 27181056 27260688 27610184 28394496 28758528 28986048 29357664 29446144 30578688 30668274 31061457 31155072 31309824 31554496 31711232 31804136 33027372 33126912 33551616 34947072 35049456 35223552 35498808 35675136 35779653 36347584 37745568 37859328 38344704 38457042 38648064 39143552 40255488 40771584 40891032 41415276 41540096 43137792 43479072 44036496 44169216 44735488 44866549 46732608 46964736 47331744 47566848 47706204 48317822 49690368 50327424 50479104 51126272 51276056 51530752 53248212 53512704 54521376 55220368 56788992 57517056 57685563 57972096 58715328 58892288 61157376 61336548 62122914 62310144 63108992 63422464 63608272 66054744 66253824 67103232 70098912 70447104 70997616 71350272 71559306 72476733 72695168 75491136 75718656 76689408 76914084 77296128 78287104 81543168 81782064 82830552 83080192 86275584 86958144 88072992 88338432 89470976 89733098 93184371 93465216 93929472 94663488 95133696 95412408 96635644 99380736 100654848 102252544 102552112 103061504 106496424 107025408 107338959 109042752 110440736 113577984 115034112 115371126 115944192 117430656 117784576 122314752 122673096 124245828 124620288 126217984 127216544 132109488 132507648 134206464 134599647 140197824 140894208 141995232 142700544 143118612 144953466 145390336 150982272 151437312 153378816 153828168 154592256 156574208 163564128 165661104 166160384 172551168 173056689 173916288 176145984 176676864 178941952 179466196 186368742 186930432 189326976 190267392 190824816 193271288 198761472 201309696 205104224 206123008 212992848 214050816 214677918 217430199 218085504 220881472 227155968 230068224 230742252 231888384 234861312 244629504 245346192 248491656 249240576 252435968 254433088 264218976 265015296 268412928 269199294 280395648 281788416 283990464 285401088 286237224 289906932 290780672 301964544 306757632 307656336 309184512 313148416 314065843 327128256 331322208 332320768 345102336 346113378 347832576 352291968 353353728 357883904 358932392 372737484 373860864 378653952 381649632 386542576 397522944 402619392 403798941 410208448 412246016 425985696 428101632 429355836 434860398 436171008 441762944 454311936 460136448 461484504 463776768 469722624 490692384 496983312 498481152 504871936 508866176 528437952 530030592 536825856 538398588 560791296 567980928 570802176 572474448 579813864 581561344 603929088 615312672 618369024 626296832 628131686 652290597 654256512 662644416 664641536 690204672 692226756 695665152 704583936 715767808 717864784 745474968 747721728 757307904 763299264 773085152 795045888 805238784 807597882 820416896 824492032 851971392 856203264 858711672 869720796 872342016 883525888 920272896 922969008 927553536 939445248 942197529 981384768 993966624 996962304 1009743872 1017732352 1056875904 1060061184 1073651712 1076797176 1121582592 1135961856 1144948896 1159627728 1163122688 1207858176 1211396823 1230625344 1236738048 1252593664 1256263372 1304581194 1308513024 1325288832 1329283072 1380409344 1384453512 1391330304 1409167872 1435729568 1490949936 1495443456 1514615808 1526598528 1546170304 1590091776 1610477568 1615195764 1640833792 1703942784 1712406528 1717423344 1739441592 1744684032 1767051776 1845938016 1855107072 1878890496 1884395058 1962769536 1987933248 1993924608 2019487744 2035464704 2113751808 2147303424 2153594352 2243165184 2271923712 2289897792 2319255456 2326245376 2415716352 2422793646 2461250688 2473476096 2505187328 2512526744 2609162388 2617026048 2650577664 2760818688 2768907024 2782660608 2818335744 2826592587 2871459136 2981899872 2990886912 3029231616 3053197056 3092340608 3180183552 3220955136 3230391528 3281667584 3407885568 3434846688 3478883184 3489368064 3534103552 3691876032 3710214144 3757780992 3768790116 3925539072 3975866496 3987849216 4038975488 4070929408 4227503616 4307188704 4486330368 4543847424 4579795584 4638510912 4652490752 4831432704 4845587292 4922501376 5010374656 5025053488 5218324776 5234052096 5301155328 5537814048 5565321216 5636671488 5653185174 5742918272 5963799744 5981773824 6058463232 6106394112 6184681216 6441910272 6460783056 6563335168 6815771136 6869693376 6957766368 6978736128 7068207104 7383752064 7420428288 7515561984 7537580232 7851078144 7951732992 8077950976 8141858816 8455007232 8479777761 8614377408 8972660736 9087694848 9159591168 9277021824 9304981504 9662865408 9691174584 9845002752 10050106976 10436649552 10468104192 10602310656 11075628096 11130642432 11273342976 11306370348 11485836544 11927599488 11963547648 12116926464 12212788224 12369362432 12921566112 13126670336 13631542272 13739386752 13915532736 13957472256 14136414208 14767504128 15031123968 15075160464 15702156288 15903465984 16283717632 16910014464 16959555522 17228754816 17945321472 18175389696 18319182336 18554043648 19325730816 19382349168 19690005504 20100213952 20873299104 20936208384 21204621312 22151256192 22261284864 22546685952 22612740696 22971673088 23855198976 24233852928 24425576448 24738724864 25843132224 26253340672 27263084544 27478773504 27831065472 27914944512 28272828416 29535008256 30150320928 31404312576 31806931968 32567435264 33820028928 33919111044 34457509632 35890642944 36350779392 36638364672 37108087296 38764698336 39380011008 40200427904 41746598208 41872416768 42409242624 44302512384 45093371904 45225481392 45943346176 47710397952 48851152896 49477449728 51686264448 52506681344 54526169088 54957547008 55662130944 56545656832 59070016512 60300641856 62808625152 63613863936 65134870528 67640057856 67838222088 68915019264 72701558784 73276729344 74216174592 77529396672 78760022016 80400855808 83493196416 83744833536 84818485248 88605024768 90450962784 91886692352 95420795904 97702305792 98954899456 103372528896 105013362688 109052338176 109915094016 111324261888 118140033024 120601283712 125617250304 127227727872 135280115712 135676444176 137830038528 146553458688 148432349184 155058793344 157520044032 160801711616 166986392832 169636970496 177210049536 180901925568 183773384704 190841591808 195404611584 197909798912 206745057792 218104676352 219830188032 222648523776 236280066048 241202567424 251234500608 254455455744 271352888352 275660077056 293106917376 296864698368 310117586688 315040088064 321603423232 333972785664 354420099072 361803851136 367546769408 381683183616 395819597824 413490115584 439660376064 445297047552 472560132096 482405134848 508910911488 542705776704 551320154112 586213834752 593729396736 620235173376 643206846464 667945571328 708840198144 723607702272 735093538816 763366367232 826980231168 879320752128 890594095104 945120264192 964810269696 1085411553408 1102640308224 1187458793472 1240470346752 1286413692928 1335891142656 1417680396288 1447215404544 1526732734464 1653960462336 1758641504256 1781188190208 1929620539392 2170823106816 2205280616448 2480940693504 2572827385856 2671782285312 2835360792576 2894430809088 3307920924672 3562376380416 3859241078784 4341646213632 4961881387008 5145654771712 5343564570624 5788861618176 6615841849344 7718482157568 8683292427264 9923762774016 10687129141248 11577723236352 15436964315136 17366584854528 19847525548032 23155446472704 34733169709056 46310892945408 69466339418112 138932678836224
- Sum of all divisors σ(n): 522291929510400
- Sum of proper divisors (its aliquot sum) s(n): 383359250674176
- 138932678836224 is an abundant number, because the sum of its proper divisors (383359250674176) is greater than itself. Its abundance is 244426571837952
Bases of 138932678836224
- Binary: 111111001011011110010001111100001000000000000002
- Hexadecimal: 0x7E5BC8F84000
- Base-36: 1D8WSHUDC0
Squares and roots of 138932678836224
- 138932678836224 squared (1389326788362242) is 19302289248609364155014578176
- 138932678836224 cubed (1389326788362243) is 2681718752980944262562499406194945948647424
-
The
square root of 138932678836224 is 11786970.7234820941 -
The
cube root of 138932678836224 is 51792.6504825791
Scales and comparisons
How big is 138932678836224?- 138,932,678,836,224 seconds is equal to 4,417,629 years, 22 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,932,678,836,224 would take you about eleven million, forty-four thousand and 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 138932678836224 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138932678836224
- 138932678836224 backwards is 422638876239831
- 138932678836224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138932678836224'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 138932678836224 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 138932678836224 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138932678836224/
Chicago style:
Numbermatics. 2024. "Number 138932678836224 - Facts about the integer". https://numbermatics.com/n/138932678836224/
The information we have on file for 138932678836224 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 138932678836224, math, Factors of 138932678836224, curriculum, school, college, exams, university, Prime factorization of 138932678836224, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred thirty-two billion, six hundred seventy-eight million, eight hundred thirty-six thousand, two hundred twenty-four.