3138037868640960

Names of 3138037868640960

• Cardinal: 3138037868640960 can be written as Three quadrillion, one hundred thirty-eight trillion, thirty-seven billion, eight hundred sixty-eight million, six hundred forty thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.13803786864096 × 10¹⁵

Factors of 3138037868640960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3840189

Divisors of 3138037868640960

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 89 90 96 108 120 135 144 160 178 180 192 216 240 267 270 288 320 356 360 432 445 480 534 540 576 712 720 801 864 890 960 1063 1068 1080 1335 1424 1440 1602 1728 1780 2126 2136 2160 2403 2670 2848 2880 3189 3204 3560 4005 4252 4272 4320 4806 5315 5340 5696 6378 6408 7120 8010 8504 8544 8640 9567 9612 10630 10680 12015 12756 12816 14240 15945 16020 17008 17088 19134 19224 21260 21360 24030 25512 25632 28480 28701 31890 32040 34016 38268 38448 42520 42720 47835 48060 51024 51264 57402 63780 64080 68032 76536 76896 85040 85440 94607 95670 96120 102048 114804 127560 128160 143505 153072 153792 170080 189214 191340 192240 204096 229608 255120 256320 283821 287010 306144 340160 378428 382680 384480 459216 473035 510240 567642 574020 612288 756856 765360 768960 851463 918432 946070 1020480 1135284 1148040 1419105 1513712 1530720 1702926 1836864 1892140 2270568 2296080 2554389 2838210 3027424 3061440 3405852 3784280 3839027 4257315 4541136 4592160 5108778 5676420 6054848 6811704 7568560 7678054 8514630 9082272 9184320 10217556 11352840 11517081 12771945 13623408 15137120 15356108 17029260 18164544 19195135 20435112 22705680 23034162 25543890 27246816 30274240 30712216 34058520 34551243 38390270 40870224 45411360 46068324 51087780 54493632 57585405 61424432 68117040 69102486 76780540 81740448 90822720 92136648 102175560 103653729 115170810 122848864 136234080 138204972 153561080 163480896 172756215 184273296 204351120 207307458 230341620 245697728 272468160 276409944 307122160 341673403 345512430 368546592 408702240 414614916 460683240 518268645 552819888 614244320 683346806 691024860 737093184 817404480 829229832 921366480 1025020209 1036537290 1105639776 1228488640 1366693612 1382049720 1658459664 1708367015 1842732960 2050040418 2073074580 2211279552 2733387224 2764099440 3075060627 3316919328 3416734030 3685465920 4080885701 4100080836 4146149160 5125101045 5466774448 5528198880 6150121254 6633838656 6833468060 8161771402 8200161672 8292298320 9225181881 10250202090 10933548896 11056397760 12242657103 12300242508 13666936120 15375303135 16323542804 16400323344 16584596640 18450363762 20404428505 20500404180 21867097792 24485314206 24600485016 27333872240 30750606270 32647085608 32800646688 33169193280 36727971309 36900727524 40808857010 41000808360 46125909405 48970628412 49200970032 54667744480 61213285515 61501212540 65294171216 65601293376 73455942618 73801455048 81617714020 82001616720 92251818810 97941256824 98401940064 109335488960 110183913927 122426571030 123002425080 130588342432 146911885236 147602910096 163235428040 164003233440 183639856545 184503637620 195882513648 196803880128 220367827854 244853142060 246004850160 261176684864 293823770472 295205820192 326470856080 328006466880 363198827389 367279713090 369007275240 391765027296 440735655708 489706284120 492009700320 550919569635 587647540944 590411640384 652941712160 726397654778 734559426180 738014550480 783530054592 881471311416 979412568240 984019400640 1089596482167 1101839139270 1175295081888 1305883424320 1452795309556 1469118852360 1476029100960 1762942622832 1815994136945 1958825136480 2179192964334 2203678278540 2350590163776 2905590619112 2938237704720 2952058201920 3268789446501 3525885245664 3631988273890 3917650272960 4358385928668 4407356557080 5447982410835 5811181238224 5876475409440 6537578893002 7051770491328 7263976547780 8716771857336 8814713114160 9806368339503 10895964821670 11622362476448 11752950818880 13075157786004 14527953095560 16343947232505 17433543714672 17629426228320 19612736679006 21791929643340 23244724952896 26150315572008 29055906191120 32687894465010 34867087429344 35258852456640 39225473358012 43583859286680 49031841697515 52300631144016 58111812382240 65375788930020 69734174858688 78450946716024 87167718573360 98063683395030 104601262288032 116223624764480 130751577860040 156901893432048 174335437146720 196127366790060 209202524576064 261503155720080 313803786864096 348670874293440 392254733580120 523006311440160 627607573728192 784509467160240 1046012622880320 1569018934320480 3138037868640960
• Sum of all divisors σ(n): 11205219792614400
• Sum of proper divisors (its aliquot sum) s(n): 8067181923973440
• 3138037868640960 is an abundant number, because the sum of its proper divisors (8067181923973440) is greater than itself. Its abundance is 4929144055332480

Bases of 3138037868640960

• Binary: 1011001001100000011101100000011100111011101011000000₂
• Hexadecimal: 0xB26076073BAC0
• Base-36: UWCAP192O0

Squares and roots of 3138037868640960

• 3138037868640960 squared (3138037868640960²) is 9847281665024698928157389721600
• 3138037868640960 cubed (3138037868640960³) is 30901142768021310047871131435406538064756736000
• The square root of 3138037868640960 is 56018192.3007245923
• The cube root of 3138037868640960 is 146403.9272514075

Scales and comparisons

• 3,138,037,868,640,960 seconds is equal to 99,779,897 years, 32 weeks, 6 days, 21 hours, 36 minutes.
• To count from 1 to 3,138,037,868,640,960 would take you about two hundred ninety-nine million, three hundred thirty-nine thousand, six hundred ninety-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 3138037868640960 cubic inches would be around 12200.3 feet tall.

Recreational maths with 3138037868640960

• 3138037868640960 backwards is 0690468687308313
• 3138037868640960 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3138037868640960's digits is 72
• More coming soon!