642136964
642,136,964 is an even composite number composed of five prime numbers multiplied together.
642136964 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 642136964:
22 × 72 × 79 × 113 × 367
(2 × 2 × 7 × 7 × 79 × 113 × 367)See below for interesting mathematical facts about the number 642136964 from the Numbermatics database.
Names of 642136964
- Cardinal: 642136964 can be written as Six hundred forty-two million, one hundred thirty-six thousand, nine hundred sixty-four.
Scientific notation
- Scientific notation: 6.42136964 × 108
Factors of 642136964
Divisors of 642136964
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 7 14 28 49 79 98 113 158 196 226 316 367 452 553 734 791 1106 1468 1582 2212 2569 3164 3871 5138 5537 7742 8927 10276 11074 15484 17854 17983 22148 28993 35708 35966 41471 57986 62489 71932 82942 115972 124978 165884 202951 249956 290297 405902 437423 580594 811804 874846 1161188 1420657 1749692 2032079 2841314 3276209 4064158 5682628 6552418 8128316 13104836 22933463 45866926 91733852 160534241 321068482 642136964
- Sum of all divisors σ(n): 1339107840
- Sum of proper divisors (its aliquot sum) s(n): 696970876
- 642136964 is an abundant number, because the sum of its proper divisors (696970876) is greater than itself. Its abundance is 54833912
Bases of 642136964
- Binary: 1001100100011000111011100001002
- Hexadecimal: 0x26463B84
- Base-36: AMB81W
Squares and roots of 642136964
- 642136964 squared (6421369642) is 412339880535137296
- 642136964 cubed (6421369643) is 264778679022955758576609344
-
The
square root of 642136964 is 25340.4215434551 -
The
cube root of 642136964 is 862.7319665653
Scales and comparisons
How big is 642136964?- 642,136,964 seconds is equal to 20 years, 21 weeks, 5 days, 3 hours, 22 minutes, 44 seconds.
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To count from 1 to 642,136,964 would take you about thirty 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 642136964 cubic inches would be around 71.9 feet tall.
Recreational maths with 642136964
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