968144384
968,144,384 is an even composite number composed of four prime numbers multiplied together.
968144384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 968144384:
29 × 31 × 181 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 31 × 181 × 337)See below for interesting mathematical facts about the number 968144384 from the Numbermatics database.
Names of 968144384
- Cardinal: 968144384 can be written as Nine hundred sixty-eight million, one hundred forty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 9.68144384 × 108
Factors of 968144384
Divisors of 968144384
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 8 16 31 32 62 64 124 128 181 248 256 337 362 496 512 674 724 992 1348 1448 1984 2696 2896 3968 5392 5611 5792 7936 10447 10784 11222 11584 15872 20894 21568 22444 23168 41788 43136 44888 46336 60997 83576 86272 89776 92672 121994 167152 172544 179552 243988 334304 359104 487976 668608 718208 975952 1337216 1436416 1890907 1951904 2674432 2872832 3781814 3903808 5348864 7563628 7807616 15127256 15615232 30254512 31230464 60509024 121018048 242036096 484072192 968144384
- Sum of all divisors σ(n): 2013787776
- Sum of proper divisors (its aliquot sum) s(n): 1045643392
- 968144384 is an abundant number, because the sum of its proper divisors (1045643392) is greater than itself. Its abundance is 77499008
Bases of 968144384
- Binary: 1110011011010010110110000000002
- Hexadecimal: 0x39B4B600
- Base-36: G0EOZK
Squares and roots of 968144384
- 968144384 squared (9681443842) is 937303548270739456
- 968144384 cubed (9681443843) is 907445166361589315853615104
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The
square root of 968144384 is 31115.0186244521 -
The
cube root of 968144384 is 989.2666691173
Scales and comparisons
How big is 968144384?- 968,144,384 seconds is equal to 30 years, 40 weeks, 5 days, 8 hours, 59 minutes, 44 seconds.
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To count from 1 to 968,144,384 would take you about forty-six 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 968144384 cubic inches would be around 82.4 feet tall.
Recreational maths with 968144384
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