513316972
513,316,972 is an even composite number composed of six prime numbers multiplied together.
513316972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 513316972:
22 × 7 × 17 × 31 × 43 × 809
(2 × 2 × 7 × 17 × 31 × 43 × 809)See below for interesting mathematical facts about the number 513316972 from the Numbermatics database.
Names of 513316972
- Cardinal: 513316972 can be written as Five hundred thirteen million, three hundred sixteen thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 5.13316972 × 108
Factors of 513316972
Divisors of 513316972
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 7 14 17 28 31 34 43 62 68 86 119 124 172 217 238 301 434 476 527 602 731 809 868 1054 1204 1333 1462 1618 2108 2666 2924 3236 3689 5117 5332 5663 7378 9331 10234 11326 13753 14756 18662 20468 22652 22661 25079 27506 34787 37324 45322 50158 55012 69574 90644 96271 100316 139148 158627 175553 192542 243509 317254 351106 385084 426343 487018 591379 634508 702212 852686 974036 1078397 1182758 1705372 2156794 2365516 2984401 4139653 4313588 5968802 7548779 8279306 11937604 15097558 16558612 18332749 30195116 36665498 73330996 128329243 256658486 513316972
- Sum of all divisors σ(n): 1149603840
- Sum of proper divisors (its aliquot sum) s(n): 636286868
- 513316972 is an abundant number, because the sum of its proper divisors (636286868) is greater than itself. Its abundance is 122969896
Bases of 513316972
- Binary: 111101001100010011000011011002
- Hexadecimal: 0x1E98986C
- Base-36: 8HM5WS
Squares and roots of 513316972
- 513316972 squared (5133169722) is 263494313743248784
- 513316972 cubed (5133169723) is 135256103269902451245562048
-
The
square root of 513316972 is 22656.4995531083 -
The
cube root of 513316972 is 800.6853356429
Scales and comparisons
How big is 513316972?- 513,316,972 seconds is equal to 16 years, 16 weeks, 5 days, 4 hours, 2 minutes, 52 seconds.
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To count from 1 to 513,316,972 would take you about twenty-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 513316972 cubic inches would be around 66.7 feet tall.
Recreational maths with 513316972
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