138958604928
138,958,604,928 is an even composite number composed of seven prime numbers multiplied together.
138958604928 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138958604928:
27 × 32 × 11 × 13 × 17 × 292 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 17 × 29 × 29 × 59)See below for interesting mathematical facts about the number 138958604928 from the Numbermatics database.
Names of 138958604928
- Cardinal: 138958604928 can be written as One hundred thirty-eight billion, nine hundred fifty-eight million, six hundred four thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38958604928 × 1011
Factors of 138958604928
Divisors of 138958604928
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 29 32 33 34 36 39 44 48 51 52 58 59 64 66 68 72 78 87 88 96 99 102 104 116 117 118 128 132 136 143 144 153 156 174 176 177 187 192 198 204 208 221 232 234 236 261 264 272 286 288 306 312 319 348 352 354 374 377 384 396 408 416 429 442 464 468 472 493 522 528 531 544 561 572 576 612 624 638 649 663 696 704 708 748 754 767 792 816 832 841 858 884 928 936 944 957 986 1003 1044 1056 1062 1088 1122 1131 1144 1152 1224 1248 1276 1287 1298 1326 1392 1408 1416 1479 1496 1508 1534 1584 1632 1664 1682 1683 1711 1716 1768 1856 1872 1888 1914 1947 1972 1989 2006 2088 2112 2124 2176 2244 2262 2288 2301 2431 2448 2496 2523 2552 2574 2596 2652 2784 2832 2871 2958 2992 3009 3016 3068 3168 3264 3364 3366 3393 3422 3432 3536 3712 3744 3776 3828 3894 3944 3978 4012 4147 4176 4224 4248 4437 4488 4524 4576 4602 4862 4896 4992 5046 5104 5133 5148 5192 5304 5423 5568 5664 5742 5841 5916 5984 6018 6032 6136 6336 6409 6528 6728 6732 6786 6844 6864 6903 7072 7293 7488 7552 7569 7656 7788 7888 7956 8024 8294 8352 8437 8496 8874 8976 9027 9048 9152 9204 9251 9724 9792 10092 10208 10266 10296 10384 10608 10846 10933 11033 11136 11328 11484 11682 11832 11968 12036 12064 12272 12441 12672 12818 13039 13456 13464 13572 13688 13728 13806 14144 14297 14586 14976 15138 15312 15399 15576 15776 15912 16048 16269 16588 16704 16874 16992 17748 17952 18054 18096 18304 18408 18502 18821 19227 19448 19584 20184 20416 20532 20592 20768 21216 21692 21866 21879 22066 22243 22656 22968 23364 23664 23936 24072 24128 24544 24882 25311 25636 26078 26912 26928 27144 27376 27456 27612 27753 28288 28594 29087 29172 30276 30624 30798 31152 31552 31824 32096 32538 32799 33099 33176 33408 33748 33984 35496 35904 36108 36192 36816 37004 37323 37642 38454 38896 39117 40368 40832 41064 41184 41536 42432 42891 43384 43732 43758 44132 44486 45936 46728 47328 48144 48256 48807 49088 49619 49764 50622 51272 52156 53824 53856 54288 54752 54912 55224 55506 56463 57188 57681 58174 58344 60552 61248 61596 62304 63104 63648 64192 65076 65598 66198 66352 66729 67496 67968 70499 70992 71808 72216 72384 73632 74008 74646 75284 75933 76908 77792 78234 80736 82128 82368 83072 83259 84864 85782 86768 87261 87464 87516 88264 88972 91872 93456 94656 96288 97614 98176 98397 99238 99297 99528 101244 102544 104312 107648 107712 108576 109504 110448 111012 112926 114376 115362 116348 116688 117351 120263 121104 122496 123192 124608 127296 128384 128673 130152 131196 132396 132704 133458 134992 140998 141984 143429 144432 144768 147264 148016 148857 149292 150568 151866 153816 155584 156468 157267 161472 164256 164736 166518 169389 171564 173536 174522 174928 175032 176528 177944 183744 185861 186912 189312 192576 195228 196794 198476 198594 199056 200187 202488 205088 208624 211497 215424 217152 219008 220896 222024 225852 228752 230724 232696 233376 234702 240526 242208 244673 246384 249216 254592 257346 260304 261783 262392 264792 265408 266916 269984 281996 283968 286858 288864 294528 296032 297714 298584 301136 303732 307632 311168 312936 314534 319957 322944 328512 333036 338778 343128 347072 349044 349856 350064 353056 355888 360789 367488 371722 373824 378131 385152 390456 393588 396952 397188 398112 400374 404976 410176 417248 422994 430287 434304 441792 444048 446571 451704 457504 461448 465392 466752 469404 471801 481052 484416 489346 492768 514692 520608 523566 524784 529584 530816 533832 539968 545809 557583 563992 567936 573716 577728 592064 595428 597168 602272 607464 615264 625872 629068 634491 639914 645047 657024 666072 677556 686256 694144 698088 699712 700128 706112 711776 721578 734019 743444 747648 756262 780912 787176 793904 794376 796224 800748 809952 820352 834496 843523 845988 860574 883584 888096 893142 903408 915008 922896 930784 933504 938808 943602 959871 962104 968832 978692 985536 1029384 1041216 1047132 1049568 1059168 1067664 1079936 1082367 1091618 1115166 1127984 1134393 1147432 1155456 1184128 1190856 1194336 1204544 1214928 1230528 1251744 1258136 1268982 1279828 1290094 1290861 1332144 1355112 1372512 1396176 1399424 1400256 1412224 1415403 1423552 1443156 1468038 1486888 1512524 1561824 1574352 1587808 1588752 1592448 1601496 1619904 1637427 1668992 1672749 1687046 1691976 1721148 1776192 1786284 1806816 1830016 1845792 1861568 1877616 1887204 1919742 1924208 1935141 1957384 1971072 2044471 2058768 2082432 2094264 2099136 2118336 2135328 2164734 2183236 2202057 2230332 2255968 2268786 2294864 2381712 2388672 2409088 2429856 2461056 2503488 2516272 2530569 2537964 2559656 2580188 2581722 2664288 2710224 2745024 2792352 2800512 2830806 2847104 2879613 2886312 2936076 2973776 3025048 3123648 3148704 3175616 3177504 3202992 3239808 3274854 3345498 3374092 3383952 3403179 3442296 3552384 3572568 3613632 3691584 3723136 3755232 3774408 3839484 3848416 3870282 3914768 4088942 4117536 4159441 4188528 4198272 4236672 4270656 4329468 4366472 4404114 4460664 4511936 4537572 4589728 4763424 4777344 4859712 4912281 5006976 5032544 5061138 5075928 5119312 5160376 5163444 5328576 5420448 5490048 5584704 5661612 5759226 5772624 5805423 5872152 5947552 6050096 6133413 6247296 6297408 6351232 6355008 6405984 6549708 6690996 6748184 6767904 6806358 6884592 7095517 7145136 7227264 7383168 7510464 7548816 7591707 7678968 7696832 7740564 7829536 8177884 8235072 8318882 8377056 8541312 8658936 8732944 8808228 8921328 9023872 9075144 9179456 9278753 9526848 9719424 9824562 10065088 10122276 10151856 10238624 10320752 10326888 10657152 10840896 10965799 11169408 11323224 11518452 11545248 11610846 11744304 11895104 12100192 12266826 12478323 12594816 12710016 12811968 13099416 13381992 13496368 13535808 13612716 13769184 14191034 14290272 15020928 15097632 15183414 15357936 15393664 15481128 15659072 16355768 16470144 16637764 16754112 17317872 17465888 17616456 17842656 18150288 18358912 18400239 18557506 19053696 19649124 20130176 20244552 20303712 20477248 20641504 20653776 21286551 21681792 21931598 22646448 23036904 23090496 23221692 23488608 23790208 24200384 24533652 24956646 25623936 26198832 26763984 26992736 27071616 27225432 27538368 27836259 28382068 28580544 30195264 30366828 30715872 30962256 31318144 32711536 32897397 33275528 33508224 34635744 34931776 35232912 35685312 36300576 36800478 37115012 37434969 39298248 40489104 40607424 40954496 41283008 41307552 42573102 43863196 45292896 46073808 46180992 46443384 46977216 48400768 49067304 49913292 52397664 53527968 53985472 54450864 55076736 55672518 56764136 57161088 60390528 60733656 61431744 61924512 63859653 65423072 65794794 66551056 69271488 69863552 70465824 71370624 72601152 73600956 74230024 74869938 78596496 80978208 81214848 82566016 82615104 83508777 85146204 87726392 90585792 92147616 92886768 93954432 98134608 98692191 99826584 104795328 107055936 107970944 108901728 111345036 113528272 120623789 121467312 122863488 123849024 127719306 130846144 131589588 133102112 138542976 140931648 145202304 147201912 148460048 149739876 157192992 161956416 165230208 167017554 170292408 175452784 181171584 184295232 185773536 196269216 197384382 199653168 209590656 214111872 217803456 222690072 227056544 241247578 242934624 247698048 255438612 261692288 263179176 266204224 281863296 294403824 296920096 299479752 314385984 323912832 334035108 340584816 350905568 361871367 368590464 371547072 392538432 394768764 399306336 435606912 445380144 454113088 482495156 485869248 510877224 526358352 532408448 588807648 593840192 598959504 628771968 668070216 681169632 701811136 723742734 743094144 785076864 789537528 798612672 890760288 908226176 964990312 971738496 1021754448 1052716704 1085614101 1177615296 1187680384 1197919008 1336140432 1362339264 1403622272 1447485468 1579075056 1597225344 1781520576 1929980624 2043508896 2105433408 2171228202 2355230592 2395838016 2672280864 2724678528 2894970936 3158150112 3563041152 3859961248 4087017792 4210866816 4342456404 4791676032 5344561728 5789941872 6316300224 7719922496 8174035584 8684912808 10689123456 11579883744 12632600448 15439844992 17369825616 23159767488 34739651232 46319534976 69479302464 138958604928
- Sum of all divisors σ(n): 523883505600
- Sum of proper divisors (its aliquot sum) s(n): 384924900672
- 138958604928 is an abundant number, because the sum of its proper divisors (384924900672) is greater than itself. Its abundance is 245966295744
Bases of 138958604928
- Binary: 100000010110101001010000001010100000002
- Hexadecimal: 0x205A940A80
- Base-36: 1RU4D5S0
Squares and roots of 138958604928
- 138958604928 squared (1389586049282) is 19309493883535985885184
- 138958604928 cubed (1389586049283) is 2683220331921909506290267824586752
-
The
square root of 138958604928 is 372771.5183969935 -
The
cube root of 138958604928 is 5179.5871940877
Scales and comparisons
How big is 138958604928?- 138,958,604,928 seconds is equal to 4,418 years, 23 weeks, 4 days, 4 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,958,604,928 would take you about eight thousand, eight hundred thirty-six 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 138958604928 cubic inches would be around 431.6 feet tall.
Recreational maths with 138958604928
- 138958604928 backwards is 829406859831
- The number of decimal digits it has is: 12
- The sum of 138958604928's digits is 63
- More coming soon!
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"Number 138958604928 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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The information we have on file for 138958604928 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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