221312316416

Names of 221312316416

• Cardinal: 221312316416 can be written as Two hundred twenty-one billion, three hundred twelve million, three hundred sixteen thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 2.21312316416 × 10¹¹

Factors of 221312316416

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 642

Divisors of 221312316416

• Number of divisors d(n): 176
• Complete list of divisors:
  1 2 4 8 16 32 41 64 82 109 128 137 164 218 256 274 328 353 436 512 548 656 706 872 1024 1096 1312 1412 1744 2192 2624 2824 3488 4384 4469 5248 5617 5648 6976 8768 8938 10496 11234 11296 13952 14473 14933 17536 17876 20992 22468 22592 27904 28946 29866 35072 35752 38477 41984 44936 45184 48361 55808 57892 59732 70144 71504 76954 89872 90368 96722 111616 115784 119464 140288 143008 153908 179744 180736 193444 231568 238928 286016 307816 359488 361472 386888 463136 477856 572032 612253 615632 718976 773776 926272 955712 1144064 1224506 1231264 1437952 1547552 1577557 1852544 1911424 1982801 2288128 2449012 2462528 2875904 3095104 3155114 3705088 3822848 3965602 4576256 4898024 4925056 5271349 5751808 6190208 6310228 7410176 7645696 7931204 9796048 9850112 10542698 12380416 12620456 14820352 15291392 15862408 19592096 19700224 21085396 24760832 25240912 31724816 39184192 39400448 42170792 49521664 50481824 63449632 78368384 84341584 100963648 126899264 156736768 168683168 201927296 216125309 253798528 313473536 337366336 403854592 432250618 507597056 626947072 674732672 807709184 864501236 1015194112 1349465344 1615418368 1729002472 2030388224 2698930688 3458004944 5397861376 6916009888 13832019776 27664039552 55328079104 110656158208 221312316416
• Sum of all divisors σ(n): 462000203280
• Sum of proper divisors (its aliquot sum) s(n): 240687886864
• 221312316416 is an abundant number, because the sum of its proper divisors (240687886864) is greater than itself. Its abundance is 19375570448

Bases of 221312316416

• Binary: 11001110000111001111011111010000000000₂
• Hexadecimal: 0x33873DF400
• Base-36: 2TO3N08W

Squares and roots of 221312316416

• 221312316416 squared (221312316416²) is 48979141397415703085056
• 221312316416 cubed (221312316416³) is 10839687238728868485847020833079296
• The square root of 221312316416 is 470438.4299948291
• The cube root of 221312316416 is 6048.7902908011

Scales and comparisons

• 221,312,316,416 seconds is equal to 7,037 years, 2 weeks, 3 days, 3 hours, 26 minutes, 56 seconds.
• To count from 1 to 221,312,316,416 would take you about fourteen thousand and seventy-four 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 221312316416 cubic inches would be around 504.1 feet tall.

Recreational maths with 221312316416

• 221312316416 backwards is 614613213122
• 221312316416 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 221312316416's digits is 32
• More coming soon!