40401088440048399

Names of 40401088440048399

• Cardinal: 40401088440048399 can be written as Forty quadrillion, four hundred one trillion, eighty-eight billion, four hundred forty million, forty-eight thousand, three hundred ninety-nine.

Scientific notation

• Scientific notation: 4.0401088440048399 × 10¹⁶

Factors of 40401088440048399

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 201062

Divisors of 40401088440048399

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 7 19 21 53 57 71 113 133 159 213 339 371 399 497 791 1007 1113 1193 1349 1491 2147 2373 3021 3579 3763 4047 5989 6441 7049 8023 8351 9443 11289 15029 17967 21147 22667 24069 25053 26341 28329 41923 45087 56161 63229 68001 71497 79023 84703 113791 125769 134809 152437 158669 168483 189687 199603 214491 254109 341373 404427 425219 442603 457311 476007 500479 592921 598809 796537 943663 1067059 1201351 1275657 1327809 1397221 1501437 1609357 1778763 2389611 2561371 2830989 2976533 3201177 3604053 3792457 4191663 4489259 4828071 7144877 7684113 8079161 8409457 8929599 9571439 10578959 11265499 11377371 13467777 14171813 17929597 21434631 22555139 24237483 25228371 26547199 28714317 31424813 31736877 33796497 42515439 50014139 53788791 56554127 67000073 67665417 74052713 79641597 85295921 94274439 99202691 135752663 150042417 157885973 169662381 181857341 201000219 201000221 222158139 238126379 255887763 269264447 297608073 407257989 428547641 473657919 507286267 545572023 597071447 603000663 714379137 751106089 807793341 950268641 1195422367 1273001387 1285642923 1407001547 1521858801 1601414869 1666884653 1791214341 1884851129 2253318267 2850805923 2999833487 3551003869 3586267101 3819004161 4221004641 4524401201 4804244607 5000653959 5257742623 5654553387 8367956569 8999500461 9638439073 10653011607 11209904083 12620698087 13573203603 14271015691 15773227869 16906972909 22713024973 25103869707 26908280827 28915317219 30426882511 31670808407 33629712249 37862094261 42813047073 50720918727 67469073511 68139074919 80724842481 84874988057 88344886609 91280647533 95012425221 99897109837 118348810363 158991174811 188357965789 202407220533 212988177577 239793263653 254624964171 265034659827 299691329511 321232485271 355046431089 476973524433 511257335713 565073897367 594124916399 638964532731 719379790959 896069564177 963697455813 1426138883831 1533772007139 1612624773083 1678552845571 1782374749197 1910487938717 2248627396897 2688208692531 3578801349991 4278416651493 4837874319249 5035658536713 5731463816151 6272486949239 6745882190691 9982972186817 10736404049973 11288373411581 13373415571019 17025321719363 18817460847717 27096638792789 29948916560451 33865120234743 36299270835623 40120246713057 51075965158089 81289916378367 101255860752001 108897812506869 119177252035541 189676471549523 254094895849361 303767582256003 357531756106623 569029414648569 708791025264007 762284687548083 1923861354288019 2126373075792021 5771584062864057 13467029480016133 40401088440048399
• Sum of all divisors σ(n): 67605907758612480
• Sum of proper divisors (its aliquot sum) s(n): 27204819318564081
• 40401088440048399 is a deficient number, because the sum of its proper divisors (27204819318564081) is less than itself. Its deficiency is 13196269121484318

Bases of 40401088440048399

• Binary: 10001111100010001001001101101101000000100001101100001111₂
• Hexadecimal: 0x8F88936D021B0F
• Base-36: B1SZNT00H73

Squares and roots of 40401088440048399

• 40401088440048399 squared (40401088440048399²) is 1632247947140612378158817462463201
• 40401088440048399 cubed (40401088440048399³) is 65944593668515324974146767165282672452862196465199
• The square root of 40401088440048399 is 201000219.9999999975
• The cube root of 40401088440048399 is 343134.4757979183

Scales and comparisons

• 40,401,088,440,048,399 seconds is equal to 1,284,629,643 years, 32 weeks, 2 days, 8 hours, 6 minutes, 39 seconds.
• To count from 1 to 40,401,088,440,048,399 would take you about three billion, eight hundred fifty-three million, eight hundred eighty-eight thousand, nine hundred thirty 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 40401088440048399 cubic inches would be around 28594.5 feet tall.

Recreational maths with 40401088440048399

• 40401088440048399 backwards is 99384004488010404
• The number of decimal digits it has is: 17
• The sum of 40401088440048399's digits is 66
• More coming soon!