813801456
813,801,456 is an even composite number composed of six prime numbers multiplied together.
813801456 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 813801456:
24 × 32 × 13 × 23 × 41 × 461
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 41 × 461)See below for interesting mathematical facts about the number 813801456 from the Numbermatics database.
Names of 813801456
- Cardinal: 813801456 can be written as Eight hundred thirteen million, eight hundred one thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 8.13801456 × 108
Factors of 813801456
Divisors of 813801456
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 41 46 48 52 69 72 78 82 92 104 117 123 138 144 156 164 184 207 208 234 246 276 299 312 328 368 369 414 461 468 492 533 552 598 624 656 738 828 897 922 936 943 984 1066 1104 1196 1383 1476 1599 1656 1794 1844 1872 1886 1968 2132 2392 2691 2766 2829 2952 3198 3312 3588 3688 3772 4149 4264 4784 4797 5382 5532 5658 5904 5993 6396 7176 7376 7544 8298 8487 8528 9594 10603 10764 11064 11316 11986 12259 12792 14352 15088 16596 16974 17979 18901 19188 21206 21528 22128 22632 23972 24518 25584 31809 33192 33948 35958 36777 37802 38376 42412 43056 45264 47944 49036 53937 56703 63618 66384 67896 71916 73554 75604 76752 84824 95427 95888 98072 107874 110331 113406 127236 135792 137839 143832 147108 151208 169648 170109 190854 196144 215748 220662 226812 245713 254472 275678 287664 294216 302416 340218 381708 413517 431496 434723 441324 453624 491426 508944 551356 588432 680436 737139 763416 827034 862992 869446 882648 907248 982852 1102712 1240551 1304169 1360872 1474278 1526832 1654068 1738892 1765296 1965704 2205424 2211417 2481102 2608338 2721744 2948556 3308136 3477784 3912507 3931408 4422834 4962204 5216676 5651399 5897112 6616272 6955568 7825014 8845668 9924408 10433352 11302798 11794224 15650028 16954197 17691336 19848816 20866704 22605596 31300056 33908394 35382672 45211192 50862591 62600112 67816788 90422384 101725182 135633576 203450364 271267152 406900728 813801456
- Sum of all divisors σ(n): 2627456832
- Sum of proper divisors (its aliquot sum) s(n): 1813655376
- 813801456 is an abundant number, because the sum of its proper divisors (1813655376) is greater than itself. Its abundance is 999853920
Bases of 813801456
- Binary: 1100001000000110011111111100002
- Hexadecimal: 0x30819FF0
- Base-36: DGIL80
Squares and roots of 813801456
- 813801456 squared (8138014562) is 662272809787719936
- 813801456 cubed (8138014563) is 538958576874457534837026816
-
The
square root of 813801456 is 28527.2055413775 -
The
cube root of 813801456 is 933.6257489655
Scales and comparisons
How big is 813801456?- 813,801,456 seconds is equal to 25 years, 45 weeks, 3 days, 23 hours, 57 minutes, 36 seconds.
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To count from 1 to 813,801,456 would take you about 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 813801456 cubic inches would be around 77.8 feet tall.
Recreational maths with 813801456
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