1138135203744

Names of 1138135203744

• Cardinal: 1138135203744 can be written as One trillion, one hundred thirty-eight billion, one hundred thirty-five million, two hundred three thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.138135203744 × 10¹²

Factors of 1138135203744

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 77

Divisors of 1138135203744

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 37 42 44 48 49 51 56 66 68 74 77 84 88 96 98 102 111 112 119 121 132 136 147 148 154 168 176 187 196 204 222 224 231 238 242 259 264 272 289 294 296 308 336 352 357 363 374 392 407 408 444 462 476 484 518 528 539 544 561 578 588 592 616 629 672 714 726 748 777 784 814 816 833 847 867 888 924 952 968 1036 1056 1078 1122 1156 1176 1184 1221 1232 1258 1309 1331 1428 1452 1496 1554 1568 1617 1628 1632 1666 1694 1734 1776 1813 1848 1887 1904 1936 2023 2057 2072 2156 2244 2312 2352 2442 2464 2499 2516 2541 2618 2662 2849 2856 2904 2992 3108 3179 3234 3256 3332 3388 3468 3552 3626 3696 3774 3808 3872 3927 3993 4046 4114 4144 4312 4403 4477 4488 4624 4704 4884 4913 4998 5032 5082 5236 5324 5439 5698 5712 5808 5929 5984 6069 6171 6216 6358 6468 6512 6664 6776 6919 6936 7252 7392 7548 7854 7986 8092 8228 8288 8547 8624 8806 8954 8976 9163 9248 9317 9537 9768 9826 9996 10064 10164 10472 10648 10693 10878 11396 11424 11616 11858 12138 12342 12432 12716 12936 13024 13209 13328 13431 13552 13838 13872 14161 14399 14504 14739 15096 15708 15972 16184 16456 17094 17248 17612 17787 17908 17952 18326 18634 19074 19536 19652 19943 19992 20128 20328 20757 20944 21296 21386 21756 22253 22627 22792 23716 24276 24684 24864 25432 25872 26418 26656 26862 27104 27489 27676 27744 27951 28322 28798 29008 29478 30192 30821 31339 31416 31944 32079 32368 32912 34188 34391 34969 35224 35574 35816 36652 37268 38148 39072 39304 39886 39984 40656 41514 41888 42483 42592 42772 43197 43512 44506 45254 45584 47432 48433 48552 49247 49368 50864 51744 52836 53724 54043 54978 55352 55902 56644 57596 58016 58956 59829 60384 61642 62678 62832 63888 64158 64736 65219 65824 66759 67881 68376 68782 69938 70448 71148 71632 73304 74536 74851 76109 76296 78608 79772 79968 81312 83028 84966 85544 86394 87024 89012 90508 91168 92463 94017 94864 96866 97104 98494 98736 100793 101728 103173 104907 105672 107448 108086 109956 110704 111804 113288 115192 117623 117912 119658 123284 125356 125664 127776 128316 130438 133518 135762 136752 137564 139876 140896 142296 143264 145299 146608 147741 149072 149702 152218 152592 155771 157216 158389 159544 162129 166056 169932 171088 172788 174048 178024 181016 181781 184926 188034 189728 193732 194208 195657 196988 197472 201586 206346 209814 211344 214896 216172 219373 219912 221408 223608 224553 226576 228327 230384 235246 235824 239316 240737 244783 246568 250712 256632 260876 267036 271524 273504 275128 279752 284592 290598 293216 295482 298144 299404 302379 304436 305184 311542 316778 319088 324258 332112 339031 339864 342176 344729 345576 352869 356048 362032 363562 369852 376068 378301 384659 387464 391314 393976 403172 412692 419628 422688 429792 432344 438746 439824 447216 449106 453152 456654 460768 467313 470492 471648 475167 478632 481474 489566 493136 501424 513264 521752 523957 532763 534072 543048 545343 550256 559504 569184 581196 590964 594473 598808 604758 608872 623084 633556 638176 648516 658119 664224 678062 679728 689458 691152 705738 712096 722211 724064 727124 734349 739704 752136 756602 769318 774928 782628 787952 806344 823361 825384 837199 839256 864688 877492 879648 894432 898212 913308 934626 940984 950334 957264 962948 979132 986272 1002848 1017093 1026528 1034187 1043504 1047914 1065526 1068144 1086096 1090686 1100512 1108723 1119008 1134903 1153977 1162392 1181928 1188946 1197616 1209516 1217744 1246168 1267112 1272467 1293853 1297032 1316238 1356124 1359456 1378916 1382304 1411476 1444422 1454248 1468698 1479408 1504272 1513204 1538636 1549856 1565256 1571871 1575904 1598289 1612688 1646722 1650768 1674398 1678512 1713481 1729376 1754984 1783419 1796424 1826616 1869252 1881968 1900668 1914528 1925896 1958264 1999591 2034186 2068374 2087008 2095828 2131052 2136288 2172192 2181372 2217446 2269806 2307954 2324784 2363856 2377892 2395232 2413103 2419032 2435488 2470083 2492336 2511597 2534224 2544934 2587706 2594064 2632476 2648107 2692613 2712248 2757832 2822952 2888844 2908496 2937396 2958816 3008544 3026408 3077272 3130512 3143742 3196578 3225376 3293444 3301536 3326169 3348796 3357024 3426962 3509968 3566838 3592848 3653232 3729341 3738504 3763936 3801336 3817401 3851792 3881559 3916528 3999182 4068372 4136748 4161311 4191656 4262104 4362744 4434892 4539612 4615908 4649568 4727712 4755784 4826206 4838064 4940166 4984672 5023194 5068448 5089868 5140443 5175412 5188128 5264952 5296214 5385226 5424496 5515664 5645904 5763527 5777688 5816992 5860393 5874792 5998773 6052816 6154544 6261024 6287484 6393156 6539203 6586888 6652338 6697592 6853924 7019936 7133676 7185696 7239309 7306464 7458682 7477008 7602672 7634802 7703584 7763118 7833056 7944321 7998364 8077839 8136744 8273496 8322622 8383312 8524208 8725488 8869784 8907269 9056971 9079224 9231816 9511568 9652412 9676128 9880332 10046388 10179736 10280886 10350824 10529904 10592428 10770452 10848992 11031328 11188023 11291808 11527054 11555376 11720786 11749584 11997546 12105632 12309088 12483933 12574968 12786312 13078406 13173776 13304676 13395184 13707848 13997137 14232383 14267352 14478618 14917364 14954016 15205344 15269604 15526236 15888642 15996728 16155678 16273488 16546992 16645244 16766624 17048416 17290581 17450976 17581179 17739568 17814538 18113942 18158448 18463632 18848291 19023136 19304824 19617609 19760664 20092776 20359472 20561772 20701648 21059808 21184856 21540904 21995501 22376046 23054108 23110752 23441572 23499168 23995092 24967866 25149936 25572624 26156812 26347552 26609352 26721807 26790368 27170913 27415696 27994274 28464766 28534704 28957236 29129177 29834728 30539208 31052472 31777284 31993456 32311356 32546976 33093984 33290488 34581162 35162358 35479136 35629076 36227884 36316896 36927264 37696582 38609648 39235218 39521328 40185552 40718944 41022751 41123544 41403296 41991411 42369712 42697149 43081808 43991002 44752092 45774421 46108216 46883144 47990184 49935732 50299872 51145248 52313624 53218704 53443614 54341826 54831392 55988548 56544873 56929532 57069408 57914472 58258354 59669456 61078416 62104944 63398797 63554568 63986912 64622712 65986503 66580976 69162324 70324716 71258152 72455768 75393164 77219296 78470436 79042656 80371104 82045502 82247088 83982822 84739424 85394298 86163616 87387531 87982004 89504184 91548842 92216432 93766288 95980368 97979959 99626681 99871464 104627248 106437408 106887228 108683652 111977096 113089746 113859064 115828944 116516708 119338912 122156832 123068253 124209888 126797594 127109136 129245424 131973006 133161952 137323263 138324648 140649432 142516304 144911536 150786328 153968507 156940872 164091004 164494176 167965644 170788596 174775062 175964008 179008368 183097684 184432864 187532576 190196391 191960736 195959918 199253362 199742928 209254496 213774456 217367304 223954192 226179492 227718128 231657888 233033416 241950511 246136506 253595188 254218272 258490848 263946012 274646526 276649296 281298864 285032608 289823072 293939877 298880043 301572656 307937014 313881744 320420947 328182008 335931288 341577192 349550124 351928016 358016736 366195368 380392782 391919836 398506724 399485856 427548912 434734608 447908384 452358984 455436256 461905521 466066832 483901022 492273012 507190376 527892024 549293052 553298592 562597728 587879754 597760086 603145312 615874028 627763488 640841894 656364016 671862576 683154384 697386767 699100248 703856032 725851533 732390736 760785564 783839672 797013448 855097824 869469216 904717968 923811042 932133664 961262841 967802044 984546024 1014380752 1055784048 1077779549 1098586104 1175759508 1195520172 1231748056 1281683788 1312728032 1343725152 1366308768 1394773534 1398200496 1451703066 1464781472 1521571128 1567679344 1594026896 1693653577 1809435936 1847622084 1922525682 1935604088 1969092048 2028761504 2092160301 2111568096 2155559098 2197172208 2351519016 2391040344 2463496112 2563367576 2789547068 2796400992 2903406132 3043142256 3135358688 3188053792 3233338647 3387307154 3695244168 3845051364 3871208176 3938184096 4184320602 4311118196 4394344416 4703038032 4782080688 4926992224 5080960731 5126735152 5579094136 5806812264 6086284512 6466677294 6774614308 7390488336 7690102728 7742416352 8368641204 8622236392 9406076064 9564161376 10161921462 10253470304 11158188272 11613624528 11855575039 12933354588 13549228616 14780976672 15380205456 16737282408 17244472784 20323842924 22316376544 23227249056 23711150078 25866709176 27098457232 30760410912 33474564816 34488945568 35566725117 40647685848 47422300156 51733418352 54196914464 66949129632 71133450234 81295371696 94844600312 103466836704 142266900468 162590743392 189689200624 284533800936 379378401248 569067601872 1138135203744
• Sum of all divisors σ(n): 4171291810560
• Sum of proper divisors (its aliquot sum) s(n): 3033156606816
• 1138135203744 is an abundant number, because the sum of its proper divisors (3033156606816) is greater than itself. Its abundance is 1895021403072

Bases of 1138135203744

• Binary: 10000100011111110001001001111111110100000₂
• Hexadecimal: 0x108FE24FFA0
• Base-36: EIUOBBMO

Squares and roots of 1138135203744

• 1138135203744 squared (1138135203744²) is 1295351742001396391617536
• 1138135203744 cubed (1138135203744³) is 1474285418802904604506130749083254784
• The square root of 1138135203744 is 1066834.1969322131
• The cube root of 1138135203744 is 10440.7401125313

Scales and comparisons

• 1,138,135,203,744 seconds is equal to 36,189 years, 9 weeks, 2 days, 3 hours, 42 minutes, 24 seconds.
• To count from 1 to 1,138,135,203,744 would take you about ninety thousand, four 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 1138135203744 cubic inches would be around 870.1 feet tall.

Recreational maths with 1138135203744

• 1138135203744 backwards is 4473025318311
• 1138135203744 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1138135203744's digits is 42
• More coming soon!