814493472
814,493,472 is an even composite number composed of five prime numbers multiplied together.
814493472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 814493472:
25 × 3 × 132 × 61 × 823
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 61 × 823)See below for interesting mathematical facts about the number 814493472 from the Numbermatics database.
Names of 814493472
- Cardinal: 814493472 can be written as Eight hundred fourteen million, four hundred ninety-three thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 8.14493472 × 108
Factors of 814493472
Divisors of 814493472
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 169 183 208 244 312 338 366 416 488 507 624 676 732 793 823 976 1014 1248 1352 1464 1586 1646 1952 2028 2379 2469 2704 2928 3172 3292 4056 4758 4938 5408 5856 6344 6584 8112 9516 9876 10309 10699 12688 13168 16224 19032 19752 20618 21398 25376 26336 30927 32097 38064 39504 41236 42796 50203 61854 64194 76128 79008 82472 85592 100406 123708 128388 139087 150609 164944 171184 200812 247416 256776 278174 301218 329888 342368 401624 417261 494832 513552 556348 602436 652639 803248 834522 989664 1027104 1112696 1204872 1305278 1606496 1669044 1957917 2225392 2409744 2610556 3338088 3915834 4450784 4819488 5221112 6676176 7831668 8484307 10442224 13352352 15663336 16968614 20884448 25452921 31326672 33937228 50905842 62653344 67874456 101811684 135748912 203623368 271497824 407246736 814493472
- Sum of all divisors σ(n): 2355974208
- Sum of proper divisors (its aliquot sum) s(n): 1541480736
- 814493472 is an abundant number, because the sum of its proper divisors (1541480736) is greater than itself. Its abundance is 726987264
Bases of 814493472
- Binary: 1100001000110000101111001000002
- Hexadecimal: 0x308C2F20
- Base-36: DGXF6O
Squares and roots of 814493472
- 814493472 squared (8144934722) is 663399615930614784
- 814493472 cubed (8144934723) is 540334656502792946514690048
-
The
square root of 814493472 is 28539.3320174107 -
The
cube root of 814493472 is 933.8903101823
Scales and comparisons
How big is 814493472?- 814,493,472 seconds is equal to 25 years, 46 weeks, 5 days, 11 minutes, 12 seconds.
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To count from 1 to 814,493,472 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 814493472 cubic inches would be around 77.8 feet tall.
Recreational maths with 814493472
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