138683158832330424
138,683,158,832,330,424 is an even composite number composed of five prime numbers multiplied together.
138683158832330424 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138683158832330424:
23 × 313 × 134 × 61 × 792
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 61 × 79 × 79)See below for interesting mathematical facts about the number 138683158832330424 from the Numbermatics database.
Names of 138683158832330424
- Cardinal: 138683158832330424 can be written as One hundred thirty-eight quadrillion, six hundred eighty-three trillion, one hundred fifty-eight billion, eight hundred thirty-two million, three hundred thirty thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38683158832330424 × 1017
Factors of 138683158832330424
Divisors of 138683158832330424
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 79 81 104 108 117 122 156 158 162 169 183 216 234 237 243 244 312 316 324 338 351 366 468 474 486 488 507 549 632 648 676 702 711 729 732 793 936 948 972 1014 1027 1053 1098 1352 1404 1422 1458 1464 1521 1586 1647 1896 1944 2028 2054 2106 2133 2187 2196 2197 2379 2808 2844 2916 3042 3081 3159 3172 3294 4056 4108 4212 4266 4374 4392 4394 4563 4758 4819 4941 5688 5832 6084 6162 6241 6318 6344 6399 6561 6588 6591 7137 8216 8424 8532 8748 8788 9126 9243 9477 9516 9638 9882 10309 12168 12324 12482 12636 12798 13122 13176 13182 13351 13689 14274 14457 14823 17064 17496 17576 18252 18486 18723 18954 19032 19197 19276 19683 19764 19773 20618 21411 24648 24964 25272 25596 26244 26364 26702 27378 27729 28431 28548 28561 28914 29646 30927 36504 36972 37446 37908 38394 38552 39366 39528 39546 40053 41067 41236 42822 43371 44469 49928 51192 52488 52728 53404 54756 55458 56169 56862 57096 57122 57591 57828 59049 59292 59319 61854 62647 64233 73944 74892 75816 76788 78732 79092 80106 81133 82134 82472 83187 85293 85644 85683 86742 88938 92781 106808 109512 110916 112338 113724 114244 115182 115656 118098 118584 118638 120159 123201 123708 125294 128466 130113 133407 134017 149784 153576 157464 158184 160212 162266 164268 166374 168507 170586 171288 171366 172773 173484 173563 177147 177876 177957 185562 187941 192699 221832 224676 227448 228488 230364 236196 237276 240318 243399 246402 247416 249561 250588 255879 256932 257049 260226 266814 268034 278343 320424 324532 328536 332748 337014 341172 342732 345546 346968 347126 354294 355752 355914 360477 369603 371124 375882 380701 385398 390339 400221 402051 449352 460728 472392 474552 480636 486798 492804 499122 501176 505521 511758 513864 514098 518319 520452 520689 531441 533628 533871 536068 556686 563823 578097 649064 665496 674028 682344 685464 691092 694252 708588 711828 720954 730197 739206 742248 748683 751764 761402 767637 770796 771147 780678 800442 804102 814411 835029 961272 973596 985608 998244 1011042 1023516 1028196 1036638 1040904 1041378 1054729 1062882 1067256 1067742 1072136 1081431 1108809 1113372 1127646 1142103 1156194 1171017 1200663 1206153 1348056 1382184 1388504 1417176 1423656 1441908 1460394 1478412 1497366 1503528 1516563 1522804 1535274 1541592 1542294 1554957 1561356 1562067 1594323 1600884 1601613 1608204 1628822 1670058 1691469 1734291 1742221 1947192 1996488 2022084 2047032 2056392 2073276 2082756 2109458 2125764 2135484 2162862 2190591 2217618 2226744 2246049 2255292 2256319 2284206 2302911 2312388 2313441 2342034 2401326 2412306 2443233 2505087 2883816 2920788 2956824 2994732 3033126 3045608 3070548 3084588 3109914 3122712 3124134 3164187 3188646 3201768 3203226 3216408 3244293 3257644 3326427 3340116 3382938 3426309 3468582 3484442 3513051 3601989 3618459 4044168 4146552 4165512 4218916 4251528 4270968 4325724 4381182 4435236 4492098 4510584 4512638 4549689 4568412 4605822 4624776 4626882 4664871 4684068 4686201 4802652 4804839 4824612 4886466 4949113 5010174 5074407 5202873 5226663 5841576 5989464 6066252 6141096 6169176 6219828 6248268 6328374 6377292 6406452 6488586 6515288 6571773 6652854 6680232 6738147 6765876 6768957 6852618 6908733 6937164 6940323 6968884 7026102 7203978 7236918 7329699 7515261 8437832 8651448 8762364 8870472 8984196 9025276 9099378 9136824 9211644 9253764 9329742 9368136 9372402 9492561 9605304 9609678 9649224 9732879 9772932 9898226 9979281 10020348 10148814 10278927 10405746 10453326 10539153 10587343 10805967 10855377 12132504 12439656 12496536 12656748 12754584 12812904 12977172 13143546 13305708 13476294 13531752 13537914 13649067 13705236 13711477 13817466 13874328 13880646 13937768 13994613 14052204 14058603 14407956 14414517 14473836 14659398 14847339 15030522 15223221 15608619 15679989 17524728 17968392 18050552 18198756 18423288 18507528 18659484 18744804 18985122 19219356 19465758 19545864 19715319 19796452 19958562 20040696 20214441 20297628 20306871 20557854 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2398200851358 2408069990664 2427841441692 2428947016119 2438942682852 2469033787896 2500688067228 2532748170654 2596868377506 2630161561833 2642187906423 2709078739497 2777663011383 3118648020696 3197601135144 3238596021492 3363157406934 3376997560872 3462491170008 3506882082444 3508479023283 3522917208564 3597301277037 3612104985996 3658414024278 3703550681844 3751032100842 3799122255981 4484209875912 4677972031044 4796401702716 4855682883384 4857894032238 4877885365704 5001376134456 5065496341308 5193736755012 5260323123666 5284375812846 5418157478994 5487621036417 5555326022766 5626548151263 6477192042984 6726314813868 7013764164888 7016958046566 7045834417128 7194602554074 7224209971992 7286841048357 7316828048556 7407101363688 7502064201684 7598244511962 7890484685499 7926563719269 8127236218491 9355944062088 9592803405432 9715788064476 10130992682616 10387473510024 10520646247332 10525437069849 10568751625692 10836314957988 10975242072834 11110652045532 11253096302526 11397366767943 13452629627736 14033916093132 14389205108148 14573682096714 14633656097112 15004128403368 15196489023924 15780969370998 15853127438538 16254472436982 16462863109251 16879644453789 19431576128952 21041292494664 21050874139698 21137503251384 21672629915976 21860523145071 21950484145668 22221304091064 22506192605052 22794733535886 23779691157807 24381708655473 28067832186264 28778410216296 29147364193428 30392978047848 31561938741996 31576311209547 31706254877076 32508944873964 32925726218502 33759288907578 34192100303829 42101748279396 43721046290142 43900968291336 45012385210104 45589467071772 47559382315614 48763417310946 49388589327753 58294728386856 63123877483992 63152622419094 63412509754152 65017889747928 65851452437004 67518577815156 68384200607658 71339073473421 73145125966419 84203496558792 87442092580284 91178934143544 94728933628641 95118764631228 97526834621892 98777178655506 102576300911487 126305244838188 131702904874008 135037155630312 136768401215316 142678146946842 146290251932838 148165767983259 174884185160568 189457867257282 190237529262456 195053669243784 197554357311012 205152601822974 214017220420263 219435377899257 252610489676376 273536802430632 284186800885923 285356293893684 292580503865676 296331535966518 378915734514564 395108714622024 410305203645948 428034440840526 438870755798514 444497303949777 568373601771846 570712587787368 585161007731352 592663071933036 642051661260789 757831469029128 820610407291896 856068881681052 877741511597028 888994607899554 1136747203543692 1185326143866072 1284103322521578 1333491911849331 1712137763362104 1755483023194056 1777989215799108 1926154983782367 2273494407087384 2568206645043156 2666983823698662 3555978431598216 3852309967564734 5136413290086312 5333967647397324 5778464951347101 7704619935129468 10667935294794648 11556929902694202 15409239870258936 17335394854041303 23113859805388404 34670789708082606 46227719610776808 69341579416165212 138683158832330424
- Sum of all divisors σ(n): 434981277378247320
- Sum of proper divisors (its aliquot sum) s(n): 296298118545916896
- 138683158832330424 is an abundant number, because the sum of its proper divisors (296298118545916896) is greater than itself. Its abundance is 157614959713586472
Bases of 138683158832330424
- Binary: 1111011001011001110011001001000101000011110110110101110002
- Hexadecimal: 0x1ECB3992287B6B8
- Base-36: 11XJ2RMZPVI0
Squares and roots of 138683158832330424
- 138683158832330424 squared (1386831588323304242) is 19233018543713388092371918716019776
- 138683158832330424 cubed (1386831588323304243) is 2667295765522960186818560243457397996730883750465024
-
The
square root of 138683158832330424 is 372401878.1267495487 -
The
cube root of 138683158832330424 is 517616.2575213263
Scales and comparisons
How big is 138683158832330424?- 138,683,158,832,330,424 seconds is equal to 4,409,695,475 years, 35 weeks, 6 days, 23 hours, 20 minutes, 24 seconds.
-
To count from 1 to 138,683,158,832,330,424 would take you about thirteen billion, two hundred twenty-nine million, eighty-six thousand, four hundred twenty-seven 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 138683158832330424 cubic inches would be around 43134.7 feet tall.
Recreational maths with 138683158832330424
- 138683158832330424 backwards is 424033238851386831
- 138683158832330424 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138683158832330424's digits is 72
- More coming soon!
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MLA style:
"Number 138683158832330424 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138683158832330424 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138683158832330424/
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Numbermatics. 2024. "Number 138683158832330424 - Facts about the integer". https://numbermatics.com/n/138683158832330424/
The information we have on file for 138683158832330424 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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