138508352689344
138,508,352,689,344 is an even composite number composed of six prime numbers multiplied together.
138508352689344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138508352689344:
26 × 3 × 113 × 293 × 71 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 29 × 29 × 29 × 71 × 313)See below for interesting mathematical facts about the number 138508352689344 from the Numbermatics database.
Names of 138508352689344
- Cardinal: 138508352689344 can be written as One hundred thirty-eight trillion, five hundred eight billion, three hundred fifty-two million, six hundred eighty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38508352689344 × 1014
Factors of 138508352689344
Divisors of 138508352689344
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 71 87 88 96 116 121 132 142 174 176 192 213 232 242 264 284 313 319 348 352 363 426 464 484 528 568 626 638 696 704 726 781 841 852 928 939 957 968 1056 1136 1252 1276 1331 1392 1452 1562 1682 1704 1856 1878 1914 1936 2059 2112 2272 2343 2504 2523 2552 2662 2784 2904 3124 3364 3408 3443 3509 3756 3828 3872 3993 4118 4544 4686 5008 5046 5104 5324 5568 5808 6177 6248 6728 6816 6886 7018 7512 7656 7744 7986 8236 8591 9077 9251 9372 10016 10092 10208 10329 10527 10648 11616 12354 12496 13456 13632 13772 14036 15024 15312 15972 16472 17182 18154 18502 18744 20032 20184 20416 20658 21054 21296 22223 22649 23232 24389 24708 24992 25773 26912 27231 27544 27753 28072 30048 30624 31944 32944 34364 36308 37004 37488 37873 38599 40368 41316 42108 42592 44446 45298 48778 49416 49984 51546 53824 54462 55088 55506 56144 59711 60096 61248 63888 65888 66669 67947 68728 72616 73167 74008 74976 75746 77198 80736 82632 84216 85184 88892 90596 94501 97556 98832 99847 101761 103092 108924 110176 111012 112288 113619 115797 119422 127776 131776 133338 135894 137456 145232 146334 148016 149952 151492 154396 161472 165264 168432 177784 179133 181192 189002 195112 197664 199694 203522 206184 217848 220352 222024 224576 227238 231594 238844 244453 249139 255552 263233 266676 268279 271788 274912 283503 290464 292668 296032 299541 302984 305283 308792 330528 336864 355568 358266 362384 378004 390224 395328 399388 407044 412368 416603 435696 444048 454476 463188 477688 488906 498278 526466 533352 536558 543576 549824 567006 580928 585336 592064 599082 605968 610566 617584 644467 656821 661056 673728 711136 716532 724768 733359 747417 756008 780448 789699 798776 804837 814088 824736 833206 871392 888096 908952 926376 955376 977812 996556 1052932 1066704 1073116 1087152 1098317 1119371 1134012 1170672 1198164 1211936 1221132 1235168 1249809 1288934 1313642 1422272 1433064 1449536 1466718 1494834 1512016 1560896 1579398 1597552 1609674 1628176 1649472 1666412 1731619 1742784 1776192 1817904 1852752 1910752 1933401 1955624 1970463 1993112 2105864 2133408 2146232 2174304 2196634 2238742 2268024 2341344 2396328 2423872 2442264 2470336 2499618 2577868 2627284 2688983 2740529 2866128 2895563 2933436 2951069 2989668 3024032 3158796 3195104 3219348 3256352 3294951 3332824 3358113 3463238 3635808 3705504 3821504 3866802 3911248 3940926 3986224 4211728 4266816 4292464 4348608 4393268 4477484 4536048 4682688 4792656 4884528 4999236 5155736 5194857 5254568 5377966 5481058 5732256 5791126 5866872 5902138 5979336 6048064 6317592 6390208 6438696 6512704 6589902 6665648 6716226 6926476 7089137 7225031 7271616 7411008 7633757 7733604 7822496 7881852 7972448 8066949 8221587 8423456 8584928 8686689 8786536 8853207 8954968 9072096 9585312 9769056 9998472 10311472 10389714 10509136 10755932 10962116 11464512 11582252 11733744 11804276 11958672 12081487 12635184 12877392 13179804 13331296 13432452 13852952 14178274 14450062 15267514 15467208 15644992 15763704 15944896 16133898 16443174 16846912 17169856 17373378 17573072 17706414 17909936 18144192 18689543 19047809 19170624 19538112 19996944 20622944 20779428 21018272 21267411 21511864 21675093 21924232 22901271 23164504 23467488 23608552 23917344 24162974 25270368 25754784 26359608 26662592 26864904 27705904 28356548 28900124 29578813 30535028 30934416 31527408 31851193 32267796 32461759 32886348 34746756 35146144 35412828 35819872 36244461 37379086 38095618 39993888 41245888 41558856 42036544 42534822 43023728 43350186 43848464 45802542 46329008 46934976 47217104 47834688 48325948 50540736 51509568 52719216 53729808 55411808 56068629 56713096 57143427 57800248 59157626 61070056 61868832 63054816 63702386 64535592 64923518 65772696 69493512 70292288 70825656 71639744 72488922 74758172 76191236 77980507 79475341 79987776 83117712 83971327 85069644 86047456 86700372 87696928 88736439 91605084 92658016 94434208 95553579 96651896 97385277 105438432 107459616 110823616 112137258 113426192 114286854 115600496 118315252 122140112 123737664 126109632 127404772 129071184 129847036 131545392 138987024 141651312 144977844 149516344 152382472 155961014 158950682 166235424 167942654 170139288 172094912 173400744 175393856 177472878 183210168 185316032 188868416 191107158 193303792 194770554 205584973 209525899 210876864 214919232 224274516 226852384 228573708 231200992 233941521 236630504 238426023 244280224 251913981 254809544 258142368 259694072 263090784 277974048 283302624 289955688 299032688 304764944 311922028 317901364 332470848 335885308 340278576 346801488 350363123 354945756 366420336 382214316 386607584 389541108 411169946 419051798 448549032 453704768 457147416 462401984 467883042 473261008 476852046 488560448 503827962 509619088 516284736 519388144 526181568 541996747 555948096 566605248 579911376 598065376 609529888 616754919 623844056 628577697 635802728 671770616 680557152 693602976 700726246 709891512 732840672 764428632 773215168 779082216 822339892 838103596 857785577 897098064 914294832 923684597 935766084 946522016 953704092 1007655924 1019238176 1038776288 1051089369 1083993494 1159822752 1196130752 1219059776 1233509838 1247688112 1257155394 1271605456 1343541232 1361114304 1387205952 1401452492 1419783024 1465681344 1528857264 1558164432 1625990241 1644679784 1676207192 1715571154 1794196128 1828589664 1847369194 1871532168 1893044032 1907408184 2015311848 2038476352 2077552576 2102178738 2167986988 2261434703 2304784889 2319645504 2467019676 2495376224 2514310788 2543210912 2573356731 2687082464 2771053791 2802904984 2839566048 3057714528 3116328864 3251980482 3289359568 3352414384 3431142308 3588392256 3657179328 3694738388 3743064336 3814816368 4030623696 4204357476 4335973976 4522869406 4609569778 4934039352 4990752448 5028621576 5086421824 5146713462 5374164928 5542107582 5605809968 5679132096 5961964217 6115429056 6232657728 6503960964 6578719136 6704828768 6784304109 6862284616 6914354667 7389476776 7486128672 7629632736 8061247392 8408714952 8671947952 9045738812 9219139556 9868078704 10057243152 10160530567 10293426924 11084215164 11211619936 11923928434 13007921928 13157438272 13409657536 13568608218 13724569232 13828709334 14778953552 14972257344 15259265472 16122494784 16817429904 17343895904 17885892651 18091477624 18438279112 19736157408 20114486304 20321061134 20586853848 22168430328 22423239872 23847856868 24875781733 26015843856 27137216436 27449138464 27657418668 29557907104 30481591701 33634859808 34687791808 35771785302 36182955248 36876558224 39472314816 40228972608 40642122268 41173707696 44336860656 47695713736 49751563466 52031687712 54274432872 54898276928 55314837336 59115814208 60963183402 65581606387 67269719616 71543570604 72365910496 73753116448 74627345199 81284244536 82347415392 88673721312 95391427472 99503126932 104063375424 108548865744 110629674672 121926366804 131163212774 143087141208 144731820992 147506232896 149254690398 162568489072 164694830784 177347442624 190782854944 196744819161 199006253864 217097731488 221259349344 243852733608 262326425548 286174282416 298509380796 325136978144 381565709888 393489638322 398012507728 434195462976 442518698688 487705467216 524652851096 572348564832 597018761592 650273956288 721397670257 786979276644 796025015456 975410934432 1049305702192 1144697129664 1194037523184 1442795340514 1573958553288 1592050030912 1950821868864 2098611404384 2164193010771 2388075046368 2885590681028 3147917106576 4197222808768 4328386021542 4776150092736 5771181362056 6295834213152 8656772043084 11542362724112 12591668426304 17313544086168 23084725448224 34627088172336 46169450896448 69254176344672 138508352689344
- Sum of all divisors σ(n): 424717621032960
- Sum of proper divisors (its aliquot sum) s(n): 286209268343616
- 138508352689344 is an abundant number, because the sum of its proper divisors (286209268343616) is greater than itself. Its abundance is 147700915654272
Bases of 138508352689344
- Binary: 111110111111000111111010010100100010100110000002
- Hexadecimal: 0x7DF8FD2914C0
- Base-36: 1D3HUX0EYO
Squares and roots of 138508352689344
- 138508352689344 squared (1385083526893442) is 19184563764715707277371150336
- 138508352689344 cubed (1385083526893443) is 2657222324114452287327269442795744529219584
-
The
square root of 138508352689344 is 11768957.1623548701 -
The
cube root of 138508352689344 is 51739.8685933937
Scales and comparisons
How big is 138508352689344?- 138,508,352,689,344 seconds is equal to 4,404,137 years, 9 weeks, 2 days, 21 hours, 42 minutes, 24 seconds.
-
To count from 1 to 138,508,352,689,344 would take you about eleven million, ten thousand, three hundred forty-two 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 138508352689344 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138508352689344
- 138508352689344 backwards is 443986253805831
- The number of decimal digits it has is: 15
- The sum of 138508352689344's digits is 69
- More coming soon!
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The information we have on file for 138508352689344 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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