314049942
314,049,942 is an even composite number composed of five prime numbers multiplied together.
314049942 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 314049942:
2 × 32 × 172 × 73 × 827
(2 × 3 × 3 × 17 × 17 × 73 × 827)See below for interesting mathematical facts about the number 314049942 from the Numbermatics database.
Names of 314049942
- Cardinal: 314049942 can be written as Three hundred fourteen million, forty-nine thousand, nine hundred forty-two.
Scientific notation
- Scientific notation: 3.14049942 × 108
Factors of 314049942
Divisors of 314049942
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 3 6 9 17 18 34 51 73 102 146 153 219 289 306 438 578 657 827 867 1241 1314 1654 1734 2481 2482 2601 3723 4962 5202 7443 7446 11169 14059 14886 21097 22338 28118 42177 42194 60371 63291 84354 120742 126531 126582 181113 189873 239003 253062 362226 379746 478006 543339 717009 1026307 1086678 1434018 2052614 2151027 3078921 4302054 6157842 9236763 17447219 18473526 34894438 52341657 104683314 157024971 314049942
- Sum of all divisors σ(n): 733609656
- Sum of proper divisors (its aliquot sum) s(n): 419559714
- 314049942 is an abundant number, because the sum of its proper divisors (419559714) is greater than itself. Its abundance is 105509772
Bases of 314049942
- Binary: 100101011100000000101100101102
- Hexadecimal: 0x12B80596
- Base-36: 56Z6HI
Squares and roots of 314049942
- 314049942 squared (3140499422) is 98627366070203364
- 314049942 cubed (3140499423) is 30973918593960134392404888
-
The
square root of 314049942 is 17721.4542856957 -
The
cube root of 314049942 is 679.7244717075
Scales and comparisons
How big is 314049942?- 314,049,942 seconds is equal to 9 years, 51 weeks, 1 day, 20 hours, 5 minutes, 42 seconds.
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To count from 1 to 314,049,942 would take you about fourteen 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 314049942 cubic inches would be around 56.6 feet tall.
Recreational maths with 314049942
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