40439480097964032

Names of 40439480097964032

• Cardinal: 40439480097964032 can be written as Forty quadrillion, four hundred thirty-nine trillion, four hundred eighty billion, ninety-seven million, nine hundred sixty-four thousand and thirty-two.

Scientific notation

• Scientific notation: 4.0439480097964032 × 10¹⁶

Factors of 40439480097964032

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 17365

Divisors of 40439480097964032

• Number of divisors d(n): 456
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1024 1026 1152 1216 1368 1536 1728 1824 2048 2052 2304 2432 2736 3072 3456 3648 4096 4104 4608 4864 5472 6144 6912 7296 8192 8208 9216 9728 10944 12288 13824 14592 16384 16416 17341 18432 19456 21888 24576 27648 29184 32768 32832 34682 36864 38912 43776 49152 52023 55296 58368 65536 65664 69364 73728 77824 87552 98304 104046 110592 116736 131072 131328 138728 147456 155648 156069 175104 196608 208092 221184 233472 262144 262656 277456 294912 311296 312138 329479 350208 393216 416184 442368 466944 468207 525312 554912 589824 622592 624276 658958 700416 786432 832368 884736 933888 936414 988437 1050624 1109824 1179648 1245184 1248552 1317916 1400832 1664736 1769472 1867776 1872828 1976874 2101248 2219648 2359296 2490368 2497104 2635832 2801664 2965311 3329472 3538944 3735552 3745656 3953748 4202496 4439296 4980736 4994208 5271664 5603328 5930622 6658944 7077888 7471104 7491312 7907496 8404992 8878592 8895933 9988416 10543328 11206656 11861244 13317888 14942208 14982624 15814992 16809984 17757184 17791866 19976832 21086656 22413312 23722488 26635776 29965248 31629984 33619968 35514368 35583732 39953664 42173312 44826624 47444976 53271552 59930496 63259968 67239936 71028736 71167464 79907328 84346624 94889952 106543104 119860992 126519936 134479872 142057472 142334928 159814656 168693248 189779904 213086208 239721984 253039872 284114944 284669856 300710281 319629312 337386496 379559808 426172416 479443968 506079744 568229888 569339712 601420562 639258624 674772992 759119616 852344832 902130843 958887936 1012159488 1136459776 1138679424 1202841124 1278517248 1349545984 1518239232 1704689664 1804261686 1917775872 2024318976 2272919552 2277358848 2405682248 2557034496 2699091968 2706392529 3036478464 3409379328 3608523372 3835551744 4048637952 4545839104 4554717696 4811364496 5114068992 5398183936 5412785058 5713495339 6072956928 6818758656 7217046744 7671103488 8097275904 8119177587 9109435392 9622728992 10228137984 10796367872 10825570116 11426990678 12145913856 13637517312 14434093488 15342206976 16194551808 16238355174 17140486017 18218870784 19245457984 20456275968 21592735744 21651140232 22853981356 24291827712 28868186976 30684413952 32389103616 32476710348 34280972034 36437741568 38490915968 40912551936 43185471488 43302280464 45707962712 48583655424 51421458051 57736373952 61368827904 64778207232 64953420696 68561944068 72875483136 76981831936 86370942976 86604560928 91415925424 97167310848 102842916102 115472747904 122737655808 129556414464 129906841392 137123888136 145750966272 153963663872 154264374153 173209121856 182831850848 194334621696 205685832204 230945495808 259112828928 259813682784 274247776272 291501932544 307927327744 308528748306 346418243712 365663701696 388669243392 411371664408 461890991616 519627365568 548495552544 583003865088 615854655488 617057496612 692836487424 731327403392 777338486784 822743328816 923781983232 1039254731136 1096991105088 1166007730176 1231709310976 1234114993224 1385672974848 1462654806784 1645486657632 1847563966464 2078509462272 2193982210176 2332015460352 2463418621952 2468229986448 2771345949696 2925309613568 3290973315264 3695127932928 4157018924544 4387964420352 4926837243904 4936459972896 5542691899392 5850619227136 6581946630528 7390255865856 8314037849088 8775928840704 9853674487808 9872919945792 11085383798784 11701238454272 13163893261056 14780511731712 16628075698176 17551857681408 19707348975616 19745839891584 22170767597568 23402476908544 26327786522112 29561023463424 33256151396352 35103715362816 39414697951232 39491679783168 44341535195136 46804953817088 52655573044224 59122046926848 66512302792704 70207430725632 78829395902464 78983359566336 88683070390272 93609907634176 105311146088448 118244093853696 133024605585408 140414861451264 157966719132672 177366140780544 187219815268352 210622292176896 236488187707392 266049211170816 280829722902528 315933438265344 354732281561088 374439630536704 421244584353792 532098422341632 561659445805056 631866876530688 709464563122176 748879261073408 842489168707584 1064196844683264 1123318891610112 1263733753061376 1497758522146816 1684978337415168 2128393689366528 2246637783220224 2527467506122752 3369956674830336 4493275566440448 5054935012245504 6739913349660672 10109870024491008 13479826699321344 20219740048982016 40439480097964032
• Sum of all divisors σ(n): 126134066623840800
• Sum of proper divisors (its aliquot sum) s(n): 85694586525876768
• 40439480097964032 is an abundant number, because the sum of its proper divisors (85694586525876768) is greater than itself. Its abundance is 45255106427912736

Bases of 40439480097964032

• Binary: 10001111101010110111111000101110001001000000000000000000₂
• Hexadecimal: 0x8FAB7E2E240000
• Base-36: B26LKOTW5C0

Squares and roots of 40439480097964032

• 40439480097964032 squared (40439480097964032²) is 1635351550593629035163671565697024
• 40439480097964032 cubed (40439480097964032³) is 66132766483405681128524486804476534606953361440768
• The square root of 40439480097964032 is 201095698.8549581883
• The cube root of 40439480097964032 is 343243.1307158955

Scales and comparisons

• 40,439,480,097,964,032 seconds is equal to 1,285,850,379 years, 30 weeks, 4 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 40,439,480,097,964,032 would take you about three billion, eight hundred fifty-seven million, five hundred fifty-one thousand, one hundred thirty-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 40439480097964032 cubic inches would be around 28603.6 feet tall.

Recreational maths with 40439480097964032

• 40439480097964032 backwards is 23046979008493404
• 40439480097964032 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40439480097964032's digits is 72
• More coming soon!