138122808618864
138,122,808,618,864 is an even composite number composed of six prime numbers multiplied together.
What does the number 138122808618864 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138122808618864 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138122808618864:
24 × 3 × 193 × 233 × 292 × 41
(2 × 2 × 2 × 2 × 3 × 19 × 19 × 19 × 23 × 23 × 23 × 29 × 29 × 41)See below for interesting mathematical facts about the number 138122808618864 from the Numbermatics database.
Names of 138122808618864
- Cardinal: 138122808618864 can be written as One hundred thirty-eight trillion, one hundred twenty-two billion, eight hundred eight million, six hundred eighteen thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38122808618864 × 1014
Factors of 138122808618864
Divisors of 138122808618864
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 23 24 29 38 41 46 48 57 58 69 76 82 87 92 114 116 123 138 152 164 174 184 228 232 246 276 304 328 348 361 368 437 456 464 492 529 551 552 656 667 696 722 779 841 874 912 943 984 1058 1083 1102 1104 1189 1311 1334 1392 1444 1558 1587 1653 1682 1748 1886 1968 2001 2116 2166 2204 2337 2378 2523 2622 2668 2829 2888 3116 3174 3306 3364 3496 3567 3772 4002 4232 4332 4408 4674 4756 5046 5244 5336 5658 5776 6232 6348 6612 6728 6859 6992 7134 7544 8004 8303 8464 8664 8816 9348 9512 10051 10092 10469 10488 10672 11316 12167 12464 12673 12696 13224 13456 13718 14268 14801 15088 15341 15979 16008 16606 17328 17917 18696 19024 19343 20102 20184 20577 20938 20976 21689 22591 22632 24334 24909 25346 25392 26448 27347 27436 28536 29602 30153 30682 31407 31958 32016 33212 34481 35834 36501 37392 38019 38686 40204 40368 41154 41876 43378 44403 45182 45264 46023 47937 48668 49818 50692 53751 54694 54872 57072 58029 59204 60306 61364 62814 63916 65067 66424 67773 68962 71668 73002 76038 77372 80408 82041 82308 83752 86756 88806 90364 92046 95874 97336 99636 101384 103443 107502 109388 109744 116058 118408 120612 122728 125628 127832 130134 132848 135546 137924 143336 146004 152076 154744 157757 160816 164082 164616 167504 173512 177612 180728 184092 190969 191748 194672 198911 199272 202768 206886 215004 218776 231173 232116 236816 240787 241224 245456 251256 255664 260268 271092 275848 281219 286672 291479 292008 303601 304152 309488 315514 328164 329232 340423 347024 352843 355224 361456 367517 368184 381938 383496 397822 398544 412091 413772 429229 430008 437552 444889 462346 464232 473271 481574 482448 498847 502512 519593 520536 542184 551696 562438 572907 582958 584016 596733 607202 608304 628981 631028 655139 656328 680846 693519 705686 710448 722361 735034 736368 763876 766992 793063 795644 824182 827544 843657 858458 860016 874437 889778 910803 924692 928464 946542 963148 997694 1021269 1039186 1041072 1058529 1084368 1102551 1124876 1145814 1165916 1193466 1214404 1236273 1257962 1262056 1287687 1310278 1312656 1334667 1361692 1387038 1411372 1444722 1470068 1496541 1527752 1558779 1586126 1591288 1648364 1655088 1687314 1716916 1748874 1779556 1821606 1849384 1886943 1893084 1926296 1965417 1995388 2042538 2078372 2117058 2205102 2249752 2291628 2331832 2379189 2386932 2428808 2472546 2515924 2524112 2575374 2620556 2669334 2723384 2774076 2822744 2889444 2940136 2993082 3055504 3117558 3172252 3182576 3296728 3374628 3433832 3497748 3559112 3628411 3643212 3698768 3773886 3786168 3852592 3930834 3990776 4085076 4156744 4234116 4392287 4410204 4499504 4574953 4583256 4663664 4758378 4773864 4857616 4945092 5031848 5150748 5241112 5338668 5446768 5538101 5548152 5645488 5768419 5778888 5880272 5986164 6235116 6344504 6468037 6593456 6704017 6749256 6867664 6982823 6995496 7118224 7256822 7286424 7547772 7572336 7829729 7861668 7981552 8155351 8170152 8313488 8452891 8468232 8784574 8820408 9149906 9166512 9478093 9516756 9547728 9872267 9890184 10063696 10232447 10301496 10482224 10677336 10885233 11076202 11096304 11536838 11557776 11950639 11972328 12447641 12470232 12689008 12936074 13176861 13408034 13498512 13724859 13965646 13990992 14466563 14513644 14572848 15068197 15095544 15659458 15723336 16310702 16340304 16614303 16905782 16936464 17305257 17569148 17640816 18240449 18299812 18956186 19033512 19404111 19744534 19780368 20112051 20464894 20602992 20948469 21354672 21770466 22152404 23073676 23489187 23901278 23944656 24466053 24895282 24940464 25358673 25872148 26353722 26816068 27449718 27931292 28434279 28933126 29027288 29616801 30136394 30191088 30697341 31318916 31446672 32621404 33228606 33811564 34610514 35138296 35851917 36480898 36599624 37342923 37912372 38067024 38808222 39489068 40224102 40929788 41896938 43399689 43540932 44304808 45204591 46147352 46978374 47802556 48932106 49790564 50717346 51744296 52707444 53632136 54721347 54899436 55862584 56868558 57866252 58054576 59233602 60272788 61394682 62637832 65242808 66457212 67623128 69221028 70276592 71703834 72961796 73199248 74685846 75824744 77616444 78978136 80448204 81859576 83453453 83793876 86799378 87081864 88609616 90409182 92294704 93956748 95605112 97864212 99581128 101434692 103488592 105223919 105414888 107264272 109442694 109798872 111725168 113737116 115732504 118467204 120545576 122789364 125275664 127376323 130485616 132673637 132914424 135246256 138442056 143407668 145923592 148764851 149371692 151649488 155232888 157956272 160604929 160896408 163719152 166906906 167587752 173598756 174163728 180083767 180818364 187573073 187913496 191210224 194416493 195728424 199162256 202869384 210447838 210829776 218885388 219597744 227062141 227474232 231465008 236505179 236934408 241091152 245578728 250360359 254752646 265347274 265828848 274864697 276884112 286295743 286815336 291847184 297529702 298743384 310465776 315671757 321209858 321792816 333813812 335175504 346568531 347197512 360167534 361636728 375146146 375826992 382128969 388832986 391456848 398020911 405738768 419530327 420895676 437770776 446294553 454124282 454948464 473010358 473868816 481814787 491157456 500720718 509505292 530694548 540251301 549729394 562719219 572591486 573630672 583249479 595059404 597486768 631343514 642419716 667627624 681186423 693137062 694395024 709515537 720335068 723273456 750292292 764257938 777665972 796041822 824594091 839060654 841791352 858887229 875541552 892589106 908248564 946020716 963629574 1001441436 1019010584 1039705593 1061389096 1080502602 1099458788 1125438438 1145182972 1166498958 1190118808 1258590981 1262687028 1284839432 1335255248 1362372846 1386274124 1419031074 1440670136 1500584584 1528515876 1555331944 1592083644 1649188182 1678121308 1683582704 1717774458 1785178212 1816497128 1892041432 1927259148 2002882872 2038021168 2079411186 2122778192 2161005204 2198917576 2250876876 2290365944 2332997916 2380237616 2420150137 2517181962 2525374056 2569678864 2724745692 2772548248 2838062148 2881340272 3001169168 3051493651 3057031752 3110663888 3184167288 3298376364 3356242616 3421591573 3435548916 3570356424 3632994256 3693913367 3784082864 3854518296 4005765744 4158822372 4314180679 4322010408 4397835152 4501753752 4580731888 4665995832 4840300274 5034363924 5050748112 5222429243 5439619117 5449491384 5545096496 5676124296 6102987302 6114063504 6368334576 6584802089 6596752728 6712485232 6843183146 6871097832 7140712848 7260450411 7387826734 7709036592 7971076213 8317644744 8628361358 8644020816 9003507504 9154480953 9331991664 9680600548 10068727848 10264774719 10444858486 10879238234 10898982768 11081740101 11352248592 12205974604 12942542037 13169604178 13193505456 13686366292 13742195664 14520900822 14775653468 15667287729 15942152426 16318857351 16635289488 17256722716 18308961906 19361201096 19754406267 20137455696 20529549438 20889716972 21758476468 22163480202 23913228639 24411949208 25885084074 26339208356 27372732584 29041801644 29551306936 31334575458 31884304852 32637714702 34513445432 36617923812 38722402192 39508812534 41059098876 41779433944 43516952936 44326960404 47826457278 48823898416 51770168148 52678416712 54745465168 58083603288 59102613872 62669150916 63768609704 65275429404 69026890864 70184353973 73235847624 79017625068 82118197752 83558867888 87033905872 88653920808 95652914556 99226155617 103540336296 105356833424 116167206576 125111239691 125338301832 127537219408 130550858808 140368707946 146471695248 151450448047 158035250136 164236395504 177307841616 191305829112 198452311234 207080672592 210553061919 250222479382 250676603664 261101717616 280737415892 297678466851 302900896094 316070500272 375333719073 382611658224 396904622468 421106123838 454351344141 500444958764 561474831784 595356933702 605801792188 750667438146 793809244936 842212247676 908702688282 1000889917528 1122949663568 1190713867404 1211603584376 1501334876292 1587618489872 1684424495352 1817405376564 2001779835056 2381427734808 2423207168752 2877558512893 3002669752584 3368848990704 3634810753128 4762855469616 5755117025786 6005339505168 7269621506256 8632675538679 11510234051572 17265351077358 23020468103144 34530702154716 46040936206288 69061404309432 138122808618864
- Sum of all divisors σ(n): 417748412390400
- Sum of proper divisors (its aliquot sum) s(n): 279625603771536
- 138122808618864 is an abundant number, because the sum of its proper divisors (279625603771536) is greater than itself. Its abundance is 141502795152672
Bases of 138122808618864
- Binary: 111110110011111001110001111000101101111011100002
- Hexadecimal: 0x7D9F38F16F70
- Base-36: 1CYKQQ0Y9C
Squares and roots of 138122808618864
- 138122808618864 squared (1381228086188642) is 19077910260763331283216650496
- 138122808618864 cubed (1381228086188643) is 2635094547795275395889165290118701960556544
-
The
square root of 138122808618864 is 11752566.0440120055 -
The
cube root of 138122808618864 is 51691.8172507811
Scales and comparisons
How big is 138122808618864?- 138,122,808,618,864 seconds is equal to 4,391,878 years, 3 weeks, 5 days, 6 hours, 34 minutes, 24 seconds.
-
To count from 1 to 138,122,808,618,864 would take you about ten million, nine hundred seventy-nine thousand, six hundred ninety-five 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 138122808618864 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138122808618864
- 138122808618864 backwards is 468816808221831
- The number of decimal digits it has is: 15
- The sum of 138122808618864's digits is 66
- More coming soon!
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The information we have on file for 138122808618864 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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