138189917839248
138,189,917,839,248 is an even composite number composed of seven prime numbers multiplied together.
138189917839248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138189917839248:
24 × 32 × 114 × 37 × 61 × 113 × 257
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 11 × 37 × 61 × 113 × 257)See below for interesting mathematical facts about the number 138189917839248 from the Numbermatics database.
Names of 138189917839248
- Cardinal: 138189917839248 can be written as One hundred thirty-eight trillion, one hundred eighty-nine billion, nine hundred seventeen million, eight hundred thirty-nine thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38189917839248 × 1014
Factors of 138189917839248
Divisors of 138189917839248
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 61 66 72 74 88 99 111 113 121 122 132 144 148 176 183 198 222 226 242 244 257 264 296 333 339 363 366 396 407 444 452 484 488 514 528 549 592 666 671 678 726 732 771 792 814 888 904 968 976 1017 1028 1089 1098 1221 1243 1331 1332 1342 1356 1452 1464 1542 1584 1628 1776 1808 1936 2013 2034 2056 2178 2196 2257 2313 2442 2486 2662 2664 2684 2712 2827 2904 2928 3084 3256 3663 3729 3993 4026 4068 4112 4181 4356 4392 4477 4514 4626 4884 4972 5324 5328 5368 5424 5654 5808 6039 6168 6512 6771 6893 7326 7381 7458 7986 8052 8136 8362 8481 8712 8784 8954 9028 9252 9509 9768 9944 10648 10736 11187 11308 11979 12078 12336 12543 13431 13542 13673 13786 14641 14652 14762 14916 15677 15972 16104 16272 16724 16962 17424 17908 18056 18504 19018 19536 19888 20313 20679 21296 22143 22374 22616 23958 24156 24827 25086 25443 26862 27084 27346 27572 28527 29041 29282 29304 29524 29832 31097 31354 31944 32208 33448 33924 35816 36112 37008 37629 38036 40293 40626 41019 41358 43923 44286 44748 45232 45991 47031 47916 48312 49247 49654 50172 50886 53724 54168 54692 55144 57054 58082 58564 58608 59048 59664 62037 62194 62708 63888 66429 66896 67848 71632 74481 75258 75823 76072 80586 81191 81252 82038 82716 85581 87123 87846 88572 89496 91982 93291 94062 95832 96624 98494 99308 100344 101772 104599 107448 108336 109384 110288 114108 116164 117128 118096 123057 124074 124388 125416 131769 132858 135696 137973 141093 147741 148962 150403 150516 151646 152144 161172 162382 162504 164076 165432 171162 172447 174246 175692 177144 178992 183964 186582 188124 191664 196988 198616 200688 203544 209198 214896 218768 223443 227469 228216 232328 234256 243573 246114 248148 248776 250832 255041 261369 263538 265716 273097 275946 279873 282186 295482 297924 300806 301032 303292 313797 319451 322344 324764 325008 328152 330864 342067 342324 344894 348492 351384 354288 367928 373164 376248 393976 397232 407088 413919 418396 443223 446886 451209 454938 456432 464656 487146 492228 496296 497552 505901 510082 517341 522738 527076 531432 541717 546194 551892 559746 564372 580049 590964 595848 601612 602064 606584 627594 638902 644688 649528 656304 682407 684134 684648 689788 696984 702768 730719 735856 746328 752496 765123 787952 819291 827838 834053 836792 886446 893101 893772 902418 909876 941391 958353 974292 984456 992592 1011802 1020164 1026201 1034682 1045476 1054152 1062864 1074517 1083434 1092388 1103784 1119492 1128744 1150589 1160098 1181928 1191696 1203224 1213168 1255188 1277804 1299056 1353627 1364814 1368268 1369296 1379576 1393968 1461438 1492656 1517703 1530246 1552023 1625151 1638582 1654433 1655676 1668106 1673584 1740147 1771501 1772892 1786202 1787544 1804836 1819752 1882782 1896917 1916706 1948584 1968912 2023604 2040328 2052402 2069364 2090952 2108304 2149034 2166868 2184776 2207568 2238984 2257488 2295369 2301178 2320196 2363856 2406448 2457873 2502159 2510376 2555608 2679303 2707254 2729628 2736536 2759152 2805451 2875059 2922876 3004067 3035406 3060492 3078603 3104046 3223551 3250302 3277164 3308866 3311352 3336212 3451767 3480294 3513961 3543002 3545784 3572404 3575088 3609672 3639504 3762737 3765564 3793834 3833412 3897168 4047208 4080656 4104804 4138728 4181904 4298068 4333736 4369552 4477968 4553109 4590738 4602356 4640392 4875453 4915746 4963299 5004318 5020752 5111216 5220441 5314503 5358606 5414508 5459256 5473072 5564911 5610902 5690751 5750118 5845752 6008134 6070812 6120984 6157206 6208092 6380539 6447102 6500604 6554328 6617732 6622704 6672424 6903534 6960588 7027922 7086004 7091568 7144808 7219344 7506477 7525474 7531128 7587668 7666824 8037909 8094416 8209608 8277456 8416353 8596136 8667472 9012201 9106218 9174583 9181476 9204712 9280784 9670653 9750906 9831492 9926598 10008636 10355301 10440882 10541883 10629006 10717212 10829016 10918512 11129822 11221804 11288211 11381502 11500236 11691504 11819687 12016268 12141624 12241968 12314412 12416184 12656479 12761078 12894204 13001208 13108656 13235464 13344848 13807068 13921176 14055844 14172008 14289616 14889897 15012954 15050948 15062256 15175336 15333648 15943509 16075818 16419216 16694733 16832706 17072253 17192272 18024402 18212436 18349166 18362952 18409424 19141617 19341306 19486511 19501812 19662984 19853196 20017272 20710602 20866087 20881764 21083766 21258012 21434424 21658032 22259644 22443608 22576422 22763004 23000472 23639374 24032536 24283248 24628824 24832368 25249059 25312958 25522156 25788408 26002416 26470928 27036603 27523749 27614136 27842352 28111688 28344016 29779794 30025908 30101896 30350672 30859961 31625649 31887018 32151636 33044737 33389466 33665412 33864633 34144506 35459061 36048804 36424872 36698332 36725904 37969437 38283234 38653571 38682612 38973022 39003624 39325968 39706392 40034544 41421204 41732174 41763528 42167532 42516024 42868848 44519288 44887216 45152844 45526008 46000944 47278748 48065072 49257648 50084199 50498118 50625916 51044312 51576816 54073206 55047498 55228272 56223376 57424851 58459533 59559588 60051816 60203792 61214021 61719922 62598261 63251298 63774036 64303272 65545537 66089474 66778932 67330824 67729266 68289012 70185929 70918122 72097608 72849744 73396664 75938874 76566468 77307142 77365224 77946044 78007248 79412784 82571247 82842408 83464348 83527056 84335064 85032048 89038576 90305688 91052016 92579883 94557496 99134211 100168398 100920413 100996236 101251832 102088624 106377183 108146412 110094996 113908311 114849702 115960713 116919066 119119176 120103632 122428042 123439844 125196522 126502596 127548072 128606544 130016557 131091074 132178948 133557864 134661648 135458532 136578024 139221269 140371858 141836244 144195216 146793328 151877748 153132936 154614284 154730448 155892088 165142494 165684816 166928696 168670128 175378599 180611376 183642063 185159766 187794783 189114992 196636611 198268422 200336796 201840826 201992472 202503664 210557787 212754366 214351621 216292824 220189992 227816622 229526957 229699404 231921426 233838132 238238352 244856084 246879688 250393044 253005192 255096144 260033114 262182148 264357896 267115728 270917064 273156048 277739649 278442538 280743716 283672488 297402633 302761239 303755496 306265872 309228568 311784176 330284988 333857392 339459571 347882139 350757198 367284126 370319532 375589566 390049671 393273222 396536844 400673592 403681652 403984944 417663807 421115574 425189281 425508732 428703242 432585648 440379984 455633244 459053914 459398808 463842852 467676264 489712168 493759376 500786088 506010384 520066228 524364296 528715792 541834128 550926189 555479298 556885076 561487432 567344976 589909833 594805266 605522478 607510992 618457136 631673361 643054863 660569976 678919142 688580871 695764278 701514396 721000907 734568252 740639064 751179132 772045219 780099342 786546444 793073688 801347184 807363304 835327614 842231148 850378562 851017464 857406484 908283717 911266488 918107828 918797616 927685704 935352528 979424336 1001572176 1018378713 1040132456 1048728592 1101852378 1110958596 1113770152 1122974864 1170149013 1179819666 1189610532 1211044956 1252991421 1263346722 1275567843 1286109726 1321139952 1357838284 1377161742 1391528556 1403028792 1430182127 1442001814 1469136504 1481278128 1502358264 1544090438 1560198684 1573092888 1586147376 1614726608 1670655228 1684462296 1700757124 1702034928 1714812968 1816567434 1822532976 1836215656 1855371408 1929164589 2036757426 2065742613 2080264912 2163002721 2203704756 2221917192 2227540304 2316135657 2340298026 2357867831 2359639332 2379221064 2422089912 2505982842 2526693444 2551135686 2572219452 2715676568 2754323484 2783057112 2806057584 2860364254 2884003628 2938273008 3004716528 3055136139 3088180876 3120397368 3146185776 3341310456 3368924592 3401514248 3429625936 3633134868 3672431312 3734055281 3826703529 3858329178 4073514852 4131485226 4290546381 4326005442 4407409512 4443834384 4632271314 4680596052 4715735662 4719278664 4758442128 4844179824 5011965684 5053386888 5102271372 5144438904 5431353136 5508646968 5566114224 5720728508 5768007256 6110272278 6176361752 6240794736 6489008163 6682620912 6803028496 6948406971 7073603493 7266269736 7468110562 7653407058 7716658356 7931009977 8147029704 8262970452 8492497409 8581092762 8652010884 8814819024 9264542628 9361192104 9431471324 9438557328 10023931368 10106773776 10204542744 10288877808 11017293936 11202165843 11441457016 11536014512 12220544556 12352723504 12871639143 12978016326 13896813942 14147206986 14532539472 14936221124 15306814116 15433316712 15732003397 15862019954 16294059408 16525940904 16984994818 17162185524 17304021768 18529085256 18722384208 18862942648 20047862736 20409085488 21220810479 22404331686 22882914032 23793029931 24441089112 25477492227 25743278286 25936546141 25956032652 27793627884 28294413972 29872442248 30613628232 30866633424 31464006794 31724039908 33051881808 33606497529 33969989636 34324371048 34608043536 37058170512 37725885296 42441620958 44808663372 47196010191 47586059862 48882178224 50954984454 51486556572 51873092282 51912065304 55587255768 56588827944 59744884496 61227256464 62928013588 63448079816 67212995058 67939979272 68648742096 71379089793 76432476681 77809638423 84883241916 87241109747 89617326744 94392020382 95172119724 101909968908 102973113144 103746184564 103824130608 111174511536 113177655888 125856027176 126896159632 134425990116 135879958544 141588030573 142758179586 152864953362 155619276846 169766483832 174482219494 179234653488 188784040764 190344239448 203819937816 205946226288 207492369128 233428915269 251712054352 261723329241 268851980232 283176061146 285516359172 305729906724 311238553692 339532967664 348964438988 377568081528 380688478896 407639875632 414984738256 466857830538 523446658482 537703960464 566352122292 571032718344 611459813448 622477107384 697928877976 755136163056 785169987723 933715661076 959652207217 1046893316964 1132704244584 1142065436688 1222919626896 1244954214768 1395857755952 1570339975446 1867431322152 1919304414434 2093786633928 2265408489168 2878956621651 3140679950892 3734862644304 3838608828868 4187573267856 5757913243302 6281359901784 7677217657736 8636869864953 11515826486604 12562719803568 15354435315472 17273739729906 23031652973208 34547479459812 46063305946416 69094958919624 138189917839248
- Sum of all divisors σ(n): 449744249101680
- Sum of proper divisors (its aliquot sum) s(n): 311554331262432
- 138189917839248 is an abundant number, because the sum of its proper divisors (311554331262432) is greater than itself. Its abundance is 173364413423184
Bases of 138189917839248
- Binary: 111110110101110110110001111011011011111100100002
- Hexadecimal: 0x7DAED8F6DF90
- Base-36: 1CZFKL4G40
Squares and roots of 138189917839248
- 138189917839248 squared (1381899178392482) is 19096453392418112629169205504
- 138189917839248 cubed (1381899178392483) is 2638937325319287730201660475358700548820992
-
The
square root of 138189917839248 is 11755420.7852908439 -
The
cube root of 138189917839248 is 51700.1876662571
Scales and comparisons
How big is 138189917839248?- 138,189,917,839,248 seconds is equal to 4,394,011 years, 48 weeks, 5 days, 8 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,189,917,839,248 would take you about ten million, nine hundred eighty-five thousand and twenty-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 138189917839248 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138189917839248
- 138189917839248 backwards is 842938719981831
- The number of decimal digits it has is: 15
- The sum of 138189917839248's digits is 81
- 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 138189917839248 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 138189917839248 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138189917839248/
Chicago style:
Numbermatics. 2024. "Number 138189917839248 - Facts about the integer". https://numbermatics.com/n/138189917839248/
The information we have on file for 138189917839248 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 138189917839248, math, Factors of 138189917839248, curriculum, school, college, exams, university, Prime factorization of 138189917839248, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred eighty-nine billion, nine hundred seventeen million, eight hundred thirty-nine thousand, two hundred forty-eight.