138577908592032

Names of 138577908592032

• Cardinal: 138577908592032 can be written as One hundred thirty-eight trillion, five hundred seventy-seven billion, nine hundred eight million, five hundred ninety-two thousand and thirty-two.

Scientific notation

• Scientific notation: 1.38577908592032 × 10¹⁴

Factors of 138577908592032

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 178645

Divisors of 138577908592032

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 42 47 48 52 56 61 62 78 84 91 93 94 96 104 112 122 124 141 156 168 182 183 186 188 208 217 224 244 248 273 282 312 329 336 364 366 372 376 403 416 427 434 488 496 546 564 611 624 651 658 672 728 732 744 752 793 806 854 868 976 987 992 1092 1128 1209 1222 1248 1281 1302 1316 1456 1457 1464 1488 1504 1586 1612 1708 1736 1833 1891 1952 1974 2184 2256 2379 2418 2444 2562 2604 2632 2821 2867 2912 2914 2928 2976 3172 3224 3416 3472 3666 3782 3948 4277 4368 4371 4512 4758 4836 4888 5124 5208 5264 5551 5642 5673 5734 5828 5856 6344 6448 6832 6944 7332 7564 7896 8463 8554 8601 8736 8742 9516 9672 9776 10199 10248 10416 10528 11102 11284 11346 11468 11656 12688 12831 12896 13237 13664 14664 15128 15792 16653 16926 17108 17202 17484 18941 19032 19344 19552 20069 20398 20496 20832 22204 22568 22692 22936 23312 24583 25376 25662 26474 29328 30256 30597 31584 33306 33852 34216 34404 34968 37271 37882 38064 38688 39711 40138 40796 40992 44408 45136 45384 45872 46624 49166 51324 52948 56823 58656 60207 60512 61194 66612 67704 68432 68808 69936 73749 74542 75764 76128 79422 80276 81592 88816 88877 90272 90768 91744 98332 102648 105896 111813 113646 120414 122388 132587 133224 135408 136864 137616 139872 147498 149084 151528 158844 160552 163184 172081 177632 177754 178481 181536 196664 205296 211792 223626 227292 240828 244776 260897 265174 266448 266631 270816 275232 294996 298168 303056 317688 321104 326368 344162 355508 356962 393328 397761 410592 423584 447252 454584 481656 489552 516243 521794 530348 532896 533262 535443 589992 596336 606112 622139 635376 642208 688324 711016 713924 782691 786656 795522 894504 909168 963312 979104 1032486 1043588 1060696 1066524 1070886 1155401 1179984 1192672 1244278 1249367 1270752 1376648 1422032 1427848 1565382 1591044 1789008 1818336 1866417 1926624 2064972 2087176 2121392 2133048 2141772 2310802 2320253 2359968 2488556 2498734 2753296 2844064 2855696 3130764 3182088 3466203 3578016 3732834 3748101 4129944 4174352 4242784 4266096 4283544 4621604 4640506 4977112 4997468 5506592 5532911 5711392 6261528 6364176 6932406 6960759 7465668 7496202 8087807 8259888 8348704 8388607 8532192 8567088 9243208 9281012 9954224 9994936 10887341 11065822 12523056 12728352 13864812 13921518 14931336 14992404 16175614 16241771 16519776 16598733 16777214 17134176 18486416 18562024 19908448 19989872 21774682 22131644 24263421 25046112 25165821 27729624 27843036 29862672 29984808 32351228 32483542 32662023 33197466 33554428 36972832 37124048 38730377 39979744 43549364 44263288 48526842 48725313 50331642 55459248 55686072 58720249 59725344 59969616 64702456 64967084 65324046 66394932 67108856 71927843 74248096 76211387 77460754 87098728 88526576 97053684 97450626 100663284 109051891 110918496 111372144 116191131 117440498 119939232 129404912 129934168 130648092 132789864 134217712 141535433 143855686 152422774 154921508 174197456 176160747 177053152 194107368 194901252 201326568 215783529 218103782 222744288 228634161 232382262 234880996 258809824 259868336 260046817 261296184 265579728 268435424 283070866 287711372 304845548 309843016 327155673 337507571 348394912 352321494 388214736 389802504 402653136 424606299 431567058 436207564 457268322 464764524 469761992 503494901 511705027 519736672 520093634 522592368 531159456 566141732 575422744 609691096 619686032 654311346 675015142 704642988 763363237 776429472 779605008 780140451 805306272 849212598 863134116 872415128 914536644 929529048 939523984 990748031 1006989802 1012522713 1023410054 1040187268 1045184736 1132283464 1150845488 1219382192 1239372064 1308622692 1350030284 1409285976 1510484703 1526726474 1535115081 1559210016 1560280902 1698425196 1726268232 1744830256 1820327719 1829073288 1859058096 1879047968 1981496062 2013979604 2025045426 2046820108 2080374536 2264566928 2290089711 2301690976 2362552997 2438764384 2617245384 2700060568 2818571952 2972244093 3020969406 3053452948 3070230162 3120561804 3380608621 3396850392 3452536464 3489660512 3581935189 3640655438 3658146576 3718116192 3962992124 4027959208 4050090852 4093640216 4160749072 4387598423 4529133856 4580179422 4725105994 5234490768 5400121136 5460983157 5637143904 5944488186 6041938812 6106905896 6140460324 6241123608 6652165351 6761217242 6793700784 6905072928 7087658991 7163870378 7281310876 7316293152 7925984248 8055918416 8100181704 8187280432 8321498144 8775196846 9160358844 9450211988 10141825863 10468981536 10745805567 10800242272 10921966314 11888976372 12083877624 12213811792 12280920648 12482247216 13162795269 13304330702 13522434484 13587401568 14175317982 14327740756 14562621752 15851968496 15862855837 16111836832 16200363408 16374560864 17550393692 18320717688 18900423976 19956496053 20283651726 21491611134 21843932628 23664260347 23777952744 24167755248 24427623584 24561841296 24964494432 26325590538 26608661404 27044868968 28350635964 28655481512 29125243504 30713188961 31703936992 31725711674 32400726816 35100787384 36641435376 37800847952 39912992106 40567303452 42983222268 43687865256 46565157457 47328520694 47555905488 47588567511 48335510496 49123682592 52651181076 53217322808 54089737936 56701271928 57310963024 58250487008 61426377922 63451423348 70201574768 70992781041 73282870752 75601695904 79825984212 81134606904 85966444536 87375730512 92139566883 93130314914 94657041388 95111810976 95177135022 105302362152 106434645616 108179475872 111039990859 113402543856 114621926048 122852755844 126902846696 139695472371 140403149536 141985562082 159651968424 162269213808 171932889072 174751461024 184279133766 186260629828 189314082776 190354270044 206217125881 210604724304 212869291232 222079981718 226805087712 245705511688 253805693392 279390944742 283971124164 319303936848 324538427616 333119972577 343865778144 368558267532 372521259656 378628165552 380708540088 412434251762 421209448608 444159963436 491411023376 507611386784 558781889484 567942248328 618651377643 638607873696 666239945154 737116535064 745042519312 757256331104 761417080176 824868503524 888319926872 982822046752 1117563778968 1135884496656 1237302755286 1332479890308 1443519881167 1474233070128 1490085038624 1522834160352 1649737007048 1776639853744 2235127557936 2271768993312 2474605510572 2664959780616 2887039762334 2948466140256 3299474014096 3553279707488 4330559643501 4470255115872 4949211021144 5329919561232 5774079524668 6598948028192 8661119287002 9898422042288 10659839122464 11548159049336 17322238574004 19796844084576 23096318098672 34644477148008 46192636197344 69288954296016 138577908592032
• Sum of all divisors σ(n): 479728911384576
• Sum of proper divisors (its aliquot sum) s(n): 341151002792544
• 138577908592032 is an abundant number, because the sum of its proper divisors (341151002792544) is greater than itself. Its abundance is 202573094200512

Bases of 138577908592032

• Binary: 11111100000100100101111000000111110110110100000₂
• Hexadecimal: 0x7E092F03EDA0
• Base-36: 1D4DT8SSYO

Squares and roots of 138577908592032

• 138577908592032 squared (138577908592032²) is 19203836749741576408613889024
• 138577908592032 cubed (138577908592032³) is 2661227533721993077950870885034579738656768
• The square root of 138577908592032 is 11771911.8494844329
• The cube root of 138577908592032 is 51748.5280254729

Scales and comparisons

• 138,577,908,592,032 seconds is equal to 4,406,348 years, 43 weeks, 6 days, 1 hour, 47 minutes, 12 seconds.
• To count from 1 to 138,577,908,592,032 would take you about eleven million, fifteen thousand, eight hundred seventy-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 138577908592032 cubic inches would be around 4312.4 feet tall.

Recreational maths with 138577908592032

• 138577908592032 backwards is 230295809775831
• The number of decimal digits it has is: 15
• The sum of 138577908592032's digits is 69
• More coming soon!