138948131280437248
138,948,131,280,437,248 is an even composite number composed of five prime numbers multiplied together.
138948131280437248 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138948131280437248:
214 × 73 × 113 × 17 × 1033
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 17 × 103 × 103 × 103)See below for interesting mathematical facts about the number 138948131280437248 from the Numbermatics database.
Names of 138948131280437248
- Cardinal: 138948131280437248 can be written as One hundred thirty-eight quadrillion, nine hundred forty-eight trillion, one hundred thirty-one billion, two hundred eighty million, four hundred thirty-seven thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38948131280437248 × 1017
Factors of 138948131280437248
Divisors of 138948131280437248
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 64 68 77 88 98 103 112 119 121 128 136 154 176 187 196 206 224 238 242 256 272 308 343 352 374 392 412 448 476 484 512 539 544 616 686 704 721 748 784 824 833 847 896 952 968 1024 1078 1088 1133 1232 1309 1331 1372 1408 1442 1496 1568 1648 1666 1694 1751 1792 1904 1936 2048 2057 2156 2176 2266 2464 2618 2662 2744 2816 2884 2992 3136 3296 3332 3388 3502 3584 3773 3808 3872 4096 4114 4312 4352 4532 4928 5047 5236 5324 5488 5632 5768 5831 5929 5984 6272 6592 6664 6776 7004 7168 7546 7616 7744 7931 8192 8228 8624 8704 9064 9163 9317 9856 10094 10472 10609 10648 10976 11264 11536 11662 11858 11968 12257 12463 12544 13184 13328 13552 14008 14336 14399 15092 15232 15488 15862 16384 16456 17248 17408 18128 18326 18634 19261 19712 20188 20944 21218 21296 21952 22528 22627 23072 23324 23716 23936 24514 24926 25088 26368 26656 27104 28016 28672 28798 30184 30464 30976 31724 32912 34496 34816 35329 36256 36652 37268 38522 39424 40376 41503 41888 42436 42592 43904 45056 45254 46144 46648 47432 47872 49028 49852 50176 52736 53312 54208 55517 56032 57344 57596 60368 60928 61952 63448 64141 65219 65824 68992 69632 70658 72512 73304 74263 74536 77044 78848 80752 83006 83776 84872 85184 85799 87241 87808 90112 90508 92288 93296 94864 95744 98056 99704 100352 100793 105472 106624 108416 111034 112064 114688 115192 116699 120736 121856 123904 126896 128282 130438 131648 134827 137093 137984 139264 141316 145024 146608 148526 149072 154088 157696 158389 161504 166012 167552 169744 170368 171598 174482 175616 180224 180353 181016 184576 186592 189728 191488 196112 199408 200704 201586 210944 211871 213248 216832 222068 224128 230384 233398 241472 243712 247808 253792 256564 260876 263296 269654 274186 275968 278528 282632 290048 293216 297052 298144 308176 315392 316778 323008 332024 335104 339488 340736 343196 348964 351232 360706 362032 369152 373184 379456 382976 388619 392224 398816 401408 403172 421888 423742 426496 433664 444136 448256 456533 460768 466796 482944 487424 495616 507584 513128 519841 521752 526592 539308 548372 551936 565264 580096 586432 594104 596288 600593 610687 616352 630784 633556 646016 664048 670208 678976 681472 686392 697928 702464 705551 721412 724064 738304 746368 758912 765952 777238 784448 797632 802816 806344 816893 843776 847484 852992 867328 888272 896512 913066 921536 933592 943789 959651 965888 974848 991232 1015168 1026256 1039682 1043504 1053184 1078616 1092727 1096744 1103872 1108723 1130528 1160192 1172864 1188208 1192576 1201186 1221374 1232704 1261568 1262471 1267112 1283689 1292032 1328096 1340416 1357952 1362944 1372784 1395856 1404928 1411102 1442824 1448128 1476608 1483097 1492736 1517824 1531904 1554476 1568896 1595264 1612688 1633786 1687552 1694968 1705984 1734656 1776544 1793024 1826132 1843072 1867184 1887578 1919302 1931776 1949696 1982464 1983883 2030336 2052512 2079364 2087008 2106368 2157232 2185454 2193488 2207744 2217446 2261056 2320384 2330581 2345728 2376416 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231351566336 233021847296 233878464512 236938180864 239526097888 245811039232 251746817168 253382979584 257641517056 263862974144 266310682624 267289673728 270786492416 273744111872 280354410028 285066248852 287710648192 297663500288 301557684736 304355065856 309974950208 312850413568 320405040032 325789998688 327907385344 329348384596 344637353984 346151873606 348401596928 354257085952 357543329792 362811589448 366177188608 372331427072 376398153824 383800689664 385211588608 395602141264 398173253632 404865241088 407788232768 409287312896 414641816512 418488215552 430169318656 438629359616 440556930044 450872654848 466043694592 467756929024 473876361728 479052195776 491622078464 498865935491 503493634336 506765959168 515283034112 527725948288 532621365248 541572984832 547488223744 560708820056 570132497704 575421296384 595327000576 603115369472 619949900416 625700827136 640810080064 651579997376 655814770688 658696769192 689274707968 692303747212 696803193856 708514171904 725623178896 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2280529990816 2301685185536 2412461477888 2423063115242 2479799601664 2502803308544 2563240320256 2606319989504 2634787076768 2769214988848 2787212775424 2834056687616 2902492715584 2929417508864 2978651416576 3011185230592 3070405517312 3083898510308 3164817130112 3262305862144 3274298503168 3317134532096 3347905724416 3441354549248 3524455440352 3606981238784 3728349556736 3791010893824 3832417566208 3932976627712 3990927483928 4027949074688 4221807586304 4379905789952 4485670560448 4561059981632 4603370371072 4824922955776 4846126230484 4959599203328 5126480640512 5212639979008 5269574153536 5538429977696 5574425550848 5668113375232 5804985431168 5858835017728 5957302833152 6022370461184 6140811034624 6167797020616 6329634260224 6524611724288 6548597006336 6634269064192 6882709098496 7048910880704 7213962477568 7456699113472 7582021787648 7664835132416 7981854967856 8055898149376 8443615172608 8480720903347 8759811579904 8971341120896 9122119963264 9206740742144 9649845911552 9692252460968 9919198406656 10252961281024 10425279958016 10539148307072 11076859955392 11148851101696 11336226750464 11609970862336 11717670035456 11914605666304 12044740922368 12335594041232 12659268520448 13049223448576 13097194012672 13268538128384 13765418196992 14097821761408 14913398226944 15164043575296 15329670264832 15963709935712 16111796298752 16887230345216 16961441806694 17519623159808 17942682241792 18244239926528 18413481484288 19384504921936 19838396813312 20505922562048 20850559916032 21078296614144 22153719910784 23219941724672 23435340070912 23829211332608 24089481844736 24671188082464 25318537040896 26098446897152 26537076256768 27530836393984 28195643522816 30659340529664 31927419871424 32223592597504 33774460690432 33922883613388 35885364483584 36488479853056 36826962968576 38769009843872 39676793626624 41011845124096 41701119832064 42156593228288 44307439821568 46439883449344 48178963689472 49342376164928 50637074081792 52196893794304 53074152513536 56391287045632 61318681059328 63854839742848 64447185195008 67548921380864 67845767226776 71770728967168 72976959706112 77538019687744 79353587253248 82023690248192 83402239664128 84313186456576 88614879643136 92879766898688 96357927378944 98684752329856 101274148163584 104393787588608 106148305027072 112782574091264 122637362118656 127709679485696 128894370390016 135691534453552 143541457934336 145953919412224 155076039375488 164047380496384 166804479328256 168626372913152 177229759286272 185759533797376 192715854757888 197369504659712 202548296327168 225565148182528 255419358971392 257788740780032 271383068907104 287082915868672 291907838824448 310152078750976 337252745826304 354459518572544 371519067594752 394739009319424 405096592654336 451130296365056 510838717942784 542766137814208 574165831737344 583815677648896 620304157501952 674505491652608 708919037145088 743038135189504 789478018638848 902260592730112 1021677435885568 1085532275628416 1148331663474688 1167631355297792 1240608315003904 1349010983305216 1417838074290176 1578956037277696 1804521185460224 2043354871771136 2171064551256832 2481216630007808 2835676148580352 3157912074555392 4086709743542272 4342129102513664 4962433260015616 6315824149110784 8173419487084544 8684258205027328 9924866520031232 12631648298221568 17368516410054656 19849733040062464 34737032820109312 69474065640218624 138948131280437248
- Sum of all divisors σ(n): 381117575913984000
- Sum of proper divisors (its aliquot sum) s(n): 242169444633546752
- 138948131280437248 is an abundant number, because the sum of its proper divisors (242169444633546752) is greater than itself. Its abundance is 103221313353109504
Bases of 138948131280437248
- Binary: 1111011011010010010010110110101110010110011000000000000002
- Hexadecimal: 0x1EDA496D72CC000
- Base-36: 120502ATXON4
Squares and roots of 138948131280437248
- 138948131280437248 squared (1389481312804372482) is 19306583186325624023412026065813504
- 138948131280437248 cubed (1389481312804372483) is 2682613655150255272518030497776425535362029942996992
-
The
square root of 138948131280437248 is 372757469.7848954549 -
The
cube root of 138948131280437248 is 517945.7058129039
Scales and comparisons
How big is 138948131280437248?- 138,948,131,280,437,248 seconds is equal to 4,418,120,779 years, 48 weeks, 1 day, 22 hours, 47 minutes, 28 seconds.
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To count from 1 to 138,948,131,280,437,248 would take you about thirteen billion, two hundred fifty-four million, three hundred sixty-two thousand, three hundred thirty-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 138948131280437248 cubic inches would be around 43162.1 feet tall.
Recreational maths with 138948131280437248
- 138948131280437248 backwards is 842734082131849831
- The number of decimal digits it has is: 18
- The sum of 138948131280437248's digits is 76
- More coming soon!
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The information we have on file for 138948131280437248 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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