38168217774144

Names of 38168217774144

• Cardinal: 38168217774144 can be written as Thirty-eight trillion, one hundred sixty-eight billion, two hundred seventeen million, seven hundred seventy-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.8168217774144 × 10¹³

Factors of 38168217774144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 615

Divisors of 38168217774144

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 64 68 72 93 96 102 124 131 136 144 153 186 192 204 248 262 272 279 288 289 306 372 393 408 431 496 524 527 544 558 576 578 612 744 786 816 862 867 992 1048 1054 1088 1116 1156 1179 1224 1293 1488 1572 1581 1632 1724 1734 1984 2096 2108 2227 2232 2312 2358 2448 2586 2601 2976 3144 3162 3264 3448 3468 3879 4061 4192 4216 4454 4464 4624 4716 4743 4896 5172 5202 5952 6288 6324 6681 6896 6936 7327 7758 8122 8384 8432 8908 8928 8959 9248 9432 9486 9792 10344 10404 12183 12576 12648 13361 13362 13792 13872 14654 15516 16244 16864 17161 17816 17856 17918 18496 18864 18972 20043 20688 20808 21981 24366 25152 25296 26722 26724 26877 27584 27744 29308 31032 32488 33728 34322 35632 35836 36549 37728 37859 37944 40083 40086 41376 41616 43962 48732 50592 51483 53444 53448 53754 55488 56461 58616 62064 64976 65943 68644 69037 71264 71672 73098 75456 75718 75888 80166 80172 80631 82752 83232 87924 97464 101184 102966 106888 106896 107508 112922 113577 117232 120249 124128 124559 129952 131886 137288 138074 142528 143344 146196 151436 151776 154449 160332 160344 161262 166464 169383 175848 194928 205932 207111 213776 213792 215016 225844 227137 227154 234464 240498 248256 249118 259904 263772 274576 276148 286688 291737 292392 302872 303552 308898 320664 320688 322524 338766 340731 351696 373677 389856 411864 414222 427552 427584 430032 451688 454274 454308 468928 480996 498236 508149 527544 531991 549152 552296 573376 583474 584784 605744 617796 621333 641328 641376 645048 677532 681411 681462 703392 747354 779712 823728 828444 855104 860064 875211 903376 908548 908616 959837 961992 996472 1016298 1055088 1063982 1098304 1104592 1121031 1166948 1169568 1173629 1211488 1235592 1242666 1282656 1282752 1290096 1355064 1362822 1362924 1406784 1494708 1595973 1647456 1656888 1720128 1750291 1750422 1806752 1817096 1817232 1919674 1923984 1992944 2032596 2044233 2110176 2127964 2209184 2242062 2333896 2339136 2347258 2422976 2471184 2485332 2565312 2580192 2625633 2710128 2725644 2725848 2879511 2989416 3191946 3294912 3313776 3500582 3500844 3520887 3613504 3634192 3634464 3839348 3847968 3861329 3985888 4065192 4088466 4220352 4255928 4418368 4484124 4667792 4694516 4787919 4942368 4959529 4970664 5160384 5250873 5251266 5420256 5451288 5451696 5759022 5978832 6383892 6627552 7001164 7001688 7041774 7268384 7268928 7396391 7678696 7695936 7722658 7971776 8130384 8176932 8511856 8638533 8968248 9043847 9335584 9389032 9575838 9884736 9919058 9941328 10501746 10502532 10562661 10840512 10902576 10903392 11518044 11583987 11957664 12767784 13255104 14002328 14003376 14083548 14536768 14792782 14878587 15357392 15445316 15752619 16260768 16317229 16353864 17023712 17277066 17936496 18087694 18671168 18778064 19151676 19838116 19882656 21003492 21005064 21125322 21805152 21806784 22189173 23036088 23167974 23915328 25535568 27131541 28004656 28006752 28167096 29585564 29754947 29757174 30714784 30890632 31505238 32521536 32634458 32707728 34047424 34554132 34751961 35872992 36175388 37556128 38303352 39676232 39765312 42006984 42010128 42250644 43610304 44378346 44635761 46072176 46335948 48951687 51071136 54263082 56009312 56013504 56334192 59171128 59509894 59514348 61429568 61781264 63010476 65268916 65415456 66567519 69108264 69503922 71745984 72350776 75112256 76606704 79352464 81394623 84013968 84020256 84501288 88756692 89264841 89271522 92144352 92671896 97903374 102142272 108526164 112018624 112668384 118342256 119019788 119028696 123562528 125738647 126020952 130537832 130830912 133135038 138216528 139007844 144701552 146855061 153213408 153745399 158704928 162789246 168027936 168040512 169002576 177513384 178529682 178543044 184288704 185343792 195806748 217052328 225336768 229288121 236684512 238039576 238057392 247125056 251477294 252041904 261075664 266270076 267794523 276433056 278015688 289403104 293710122 306426816 307490798 317409856 325578492 336055872 338005152 355026768 357059364 357086088 370687584 377215941 391613496 434104656 458576242 461236197 473369024 476079152 476114784 502954588 504083808 505834099 522151328 532540152 535589046 552866112 556031376 578806208 587420244 614981596 651156984 676010304 687864363 710053536 714118728 714172176 741375168 754431882 783226992 868209312 917152484 922472394 952158304 952229568 1005909176 1008167616 1011668198 1044302656 1065080304 1071178092 1112062752 1131647823 1174840488 1229963192 1302313968 1375728726 1383708591 1420107072 1428237456 1428344352 1508863764 1517502297 1566453984 1736418624 1834304968 1844944788 1904316608 2011818352 2023336396 2063593089 2130160608 2137556999 2142356184 2224125504 2263295646 2349680976 2459926384 2604627936 2751457452 2767417182 2856474912 2856688704 3017727528 3035004594 3132907968 3668609936 3689889576 3897898057 4023636704 4046672792 4127186178 4260321216 4275113998 4284712368 4526591292 4552506891 4699361952 4919852768 5209255872 5502914904 5534834364 5712949824 6035455056 6070009188 6412670997 7337219872 7379779152 7795796114 8047273408 8093345584 8254372356 8550227996 8569424736 9053182584 9105013782 9398723904 9839705536 11005829808 11069668728 11693694171 12070910112 12140018376 12825341994 14674439744 14759558304 15591592228 16186691168 16508744712 17100455992 17138849472 18106365168 18210027564 19238012991 22011659616 22139337456 23387388342 24141820224 24280036752 25650683988 29519116608 31183184456 32373382336 33017489424 34200911984 35081082513 36212730336 36420055128 38476025982 44023319232 44278674912 46774776684 48560073504 51301367976 62366368912 66034978848 66264266969 68401823968 70162165026 72425460672 72840110256 76952051964 88557349824 93549553368 97120147008 102602735952 124732737824 132069957696 132528533938 136803647936 140324330052 145680220512 153904103928 187099106736 198792800907 205205471904 249465475648 265057067876 280648660104 291360441024 307808207856 374198213472 397585601814 410410943808 530114135752 561297320208 596378402721 615616415712 748396426944 795171203628 1060228271504 1122594640416 1192756805442 1231232831424 1590342407256 2120456543008 2245189280832 2385513610884 3180684814512 4240913086016 4771027221768 6361369629024 9542054443536 12722739258048 19084108887072 38168217774144
• Sum of all divisors σ(n): 121168439668224
• Sum of proper divisors (its aliquot sum) s(n): 83000221894080
• 38168217774144 is an abundant number, because the sum of its proper divisors (83000221894080) is greater than itself. Its abundance is 44832004119936

Bases of 38168217774144

• Binary: 1000101011011010111011000011111110100001000000₂
• Hexadecimal: 0x22B6BB0FE840
• Base-36: DJ28JDZK0

Squares and roots of 38168217774144

• 38168217774144 squared (38168217774144²) is 1456812848054481961794932736
• 38168217774144 cubed (38168217774144³) is 55603950040714420784663585999828119977984
• The square root of 38168217774144 is 6178043.1994397709
• The cube root of 38168217774144 is 33669.2901690695

Scales and comparisons

• 38,168,217,774,144 seconds is equal to 1,213,631 years, 13 weeks, 4 days, 19 hours, 2 minutes, 24 seconds.
• To count from 1 to 38,168,217,774,144 would take you about three million, thirty-four thousand and seventy-eight 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 38168217774144 cubic inches would be around 2805.8 feet tall.

Recreational maths with 38168217774144

• 38168217774144 backwards is 44147771286183
• The number of decimal digits it has is: 14
• The sum of 38168217774144's digits is 63
• More coming soon!