21824533913056992

Names of 21824533913056992

• Cardinal: 21824533913056992 can be written as Twenty-one quadrillion, eight hundred twenty-four trillion, five hundred thirty-three billion, nine hundred thirteen million, fifty-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 2.1824533913056992 × 10¹⁶

Factors of 21824533913056992

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2002474343

Divisors of 21824533913056992

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 71 72 78 82 96 104 117 123 142 144 156 164 208 213 234 246 284 288 312 328 369 416 426 468 492 533 568 624 639 656 738 852 923 936 984 1066 1136 1248 1278 1312 1476 1599 1704 1846 1872 1968 2132 2272 2556 2769 2911 2952 3198 3408 3692 3744 3936 4264 4797 5112 5538 5822 5904 6396 6816 7384 8307 8528 8733 9594 10224 11076 11644 11808 12792 14768 16614 17056 17466 19188 20448 22152 23288 25584 26199 29536 33228 34932 37843 38376 44304 46576 51168 52398 66456 69864 75686 76752 88608 93152 104796 113529 132912 139728 151372 153504 209592 227058 265824 279456 302744 340587 419184 454116 605488 681174 838368 908232 1210976 1362348 1816464 2724696 3632928 5449392 10898784 2002474213 4004948426 6007422639 8009896852 12014845278 16019793704 18022267917 24029690556 26032164769 32039587408 36044535834 48059381112 52064329538 64079174816 72089071668 78096494307 82101442733 96118762224 104128659076 142175669123 144178143336 156192988614 164202885466 192237524448 208257318152 234289482921 246304328199 284351338246 288356286672 312385977228 328405770932 416514636304 426527007369 468578965842 492608656398 568702676492 576712573344 624771954456 656811541864 738912984597 833029272608 853054014738 937157931684 985217312796 1067318755529 1137405352984 1249543908912 1279581022107 1313623083728 1477825969194 1706108029476 1848283698599 1874315863368 1970434625592 2134637511058 2274810705968 2499087817824 2559162044214 2627246167456 2955651938388 3201956266587 3412216058952 3696567397198 3748631726736 3940869251184 4269275022116 4549621411936 5118324088428 5544851095797 5829202434043 5911303876776 6403912533174 6824432117904 7393134794396 7497263453472 7881738502368 8538550044232 9605868799761 10236648176856 11089702191594 11658404868086 11822607753552 12807825066348 13648864235808 14786269588792 16634553287391 17077100088464 17487607302129 19211737599522 20473296353712 22179404383188 23316809736172 23645215507104 25615650132696 29572539177584 33269106574782 34154200176928 34975214604258 38423475199044 40946592707424 44358808766376 46633619472344 51231300265392 52462821906387 59145078355168 66538213149564 69950429208516 75779631642559 76846950398088 88717617532752 93267238944688 102462600530784 104925643812774 133076426299128 139900858417032 151559263285118 153693900796176 177435235065504 186534477889376 209851287625548 227338894927677 266152852598256 279801716834064 303118526570236 307387801592352 419702575251096 454677789855354 532305705196512 559603433668128 606237053140472 682016684783031 839405150502192 909355579710708 1212474106280944 1364033369566062 1678810301004384 1818711159421416 2424948212561888 2728066739132124 3637422318842832 5456133478264248 7274844637685664 10912266956528496 21824533913056992
• Sum of all divisors σ(n): 69432156877277376
• Sum of proper divisors (its aliquot sum) s(n): 47607622964220384
• 21824533913056992 is an abundant number, because the sum of its proper divisors (47607622964220384) is greater than itself. Its abundance is 25783089051163392

Bases of 21824533913056992

• Binary: 1001101100010010100110001000111010001101011011011100000₂
• Hexadecimal: 0x4D894C4746B6E0
• Base-36: 5YW5GGV2EW0

Squares and roots of 21824533913056992

• 21824533913056992 squared (21824533913056992²) is 476310280522174739242542640088064
• 21824533913056992 cubed (21824533913056992³) is 10395249870393891820618323563689417064658330943488
• The square root of 21824533913056992 is 147731289.5532188605
• The cube root of 21824533913056992 is 279456.9999999989

Scales and comparisons

• 21,824,533,913,056,992 seconds is equal to 693,952,670 years, 37 weeks, 2 days, 20 hours, 43 minutes, 12 seconds.
• To count from 1 to 21,824,533,913,056,992 would take you about two billion, eighty-one million, eight hundred fifty-eight thousand and twelve 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 21824533913056992 cubic inches would be around 23288.1 feet tall.

Recreational maths with 21824533913056992

• 21824533913056992 backwards is 29965031933542812
• 21824533913056992 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21824533913056992's digits is 72
• More coming soon!