401957663617721344

Names of 401957663617721344

• Cardinal: 401957663617721344 can be written as Four hundred one quadrillion, nine hundred fifty-seven trillion, six hundred sixty-three billion, six hundred seventeen million, seven hundred twenty-one thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 4.01957663617721344 × 10¹⁷

Factors of 401957663617721344

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 29285

Divisors of 401957663617721344

• Number of divisors d(n): 297
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 97 98 112 128 194 196 224 256 388 392 448 512 679 776 784 896 1024 1358 1552 1568 1792 2716 3104 3136 3584 4753 5432 6208 6272 7168 9409 9506 10864 12416 12544 18818 19012 21728 24832 25088 29179 37636 38024 43456 49664 50176 58358 65863 75272 76048 86912 99328 116716 131726 150544 152096 173824 204253 233432 263452 301088 304192 347648 408506 461041 466864 526904 602176 608384 695296 817012 922082 933728 1053808 1204352 1216768 1429771 1634024 1844164 1867456 2107616 2408704 2433536 2830363 2859542 3268048 3688328 3734912 4215232 4817408 4867072 5660726 5719084 6536096 7376656 7469824 8430464 9634816 11321452 11438168 13072192 14753312 14939648 16860928 19812541 22642904 22876336 26144384 29506624 29879296 33721856 39625082 45285808 45752672 52288768 59013248 67443712 79250164 90571616 91505344 104577536 118026496 138687787 158500328 181143232 183010688 209155072 236052992 274545211 277375574 317000656 362286464 366021376 472105984 549090422 554751148 634001312 724572928 732042752 851414041 1098180844 1109502296 1268002624 1449145856 1464085504 1702828082 1921816477 2196361688 2219004592 2536005248 2898291712 3405656164 3843632954 4392723376 4438009184 5072010496 5959898287 6811312328 7687265908 8785446752 8876018368 10144020992 11919796574 13452715339 13622624656 15374531816 17570893504 17752036736 20288041984 23839593148 26905430678 27245249312 30749063632 35141787008 35504073472 41719288009 47679186296 53810861356 54490498624 61498127264 70283574016 71008146944 82587161977 83438576018 95358372592 107621722712 108980997248 122996254528 140567148032 142016293888 165174323954 166877152036 190716745184 215243445424 217961994496 245992509056 281134296064 330348647908 333754304072 381433490368 430486890848 435923988992 491985018112 578110133839 660697295816 667508608144 762866980736 860973781696 871847977984 983970036224 1156220267678 1321394591632 1335017216288 1525733961472 1721947563392 1967940072448 2312440535356 2642789183264 2670034432576 3051467922944 3443895126784 4046770936873 4624881070712 5285578366528 5340068865152 6102935845888 6887790253568 8010954711769 8093541873746 9249762141424 10571156733056 10680137730304 13775580507136 16021909423538 16187083747492 18499524282848 21142313466112 21360275460608 32043818847076 32374167494984 36999048565696 42284626932224 42720550921216 56076682982383 64087637694152 64748334989968 73998097131392 84569253864448 112153365964766 128175275388304 129496669979936 147996194262784 224306731929532 256350550776608 258993339959872 295992388525568 392536780876681 448613463859064 512701101553216 517986679919744 591984777051136 785073561753362 897226927718128 1025402203106432 1035973359839488 1570147123506724 1794453855436256 2050804406212864 2071946719678976 3140294247013448 3588907710872512 4101608812425728 4143893439357952 6280588494026896 7177815421745024 8203217624851456 12561176988053792 14355630843490048 25122353976107584 28711261686980096 50244707952215168 57422523373960192 100489415904430336 200978831808860672 401957663617721344
• Sum of all divisors σ(n): 944478082844141913
• Sum of proper divisors (its aliquot sum) s(n): 542520419226420569
• 401957663617721344 is an abundant number, because the sum of its proper divisors (542520419226420569) is greater than itself. Its abundance is 140562755608699225

Bases of 401957663617721344

• Binary: 10110010100000010100101110110001010101011100010010000000000₂
• Hexadecimal: 0x5940A5D8AAE2400
• Base-36: 31XU3LG6NYF4

Squares and roots of 401957663617721344

• 401957663617721344 squared (401957663617721344²) is 161569963341017225020497802833166336
• 401957663617721344 cubed (401957663617721344³) is 64944284975356170717028314490266649623983284849475584
• 401957663617721344 is a perfect square number. Its square root is 634001312
• The cube root of 401957663617721344 is 738006.3598290323

Scales and comparisons

• 401,957,663,617,721,344 seconds is equal to 12,781,010,366 years, 18 weeks, 3 days, 6 hours, 9 minutes, 4 seconds.
• To count from 1 to 401,957,663,617,721,344 would take you about thirty-eight billion, three hundred forty-three million, thirty-one thousand and ninety-nine 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 401957663617721344 cubic inches would be around 61500.5 feet tall.

Recreational maths with 401957663617721344

• 401957663617721344 backwards is 443127716366759104
• The number of decimal digits it has is: 18
• The sum of 401957663617721344's digits is 76
• More coming soon!