966138368
966,138,368 is an even composite number composed of four prime numbers multiplied together.
966138368 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 966138368:
29 × 13 × 23 × 6311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 23 × 6311)See below for interesting mathematical facts about the number 966138368 from the Numbermatics database.
Names of 966138368
- Cardinal: 966138368 can be written as Nine hundred sixty-six million, one hundred thirty-eight thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 9.66138368 × 108
Factors of 966138368
Divisors of 966138368
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1196 1472 1664 2392 2944 3328 4784 5888 6311 6656 9568 11776 12622 19136 25244 38272 50488 76544 82043 100976 145153 153088 164086 201952 290306 328172 403904 580612 656344 807808 1161224 1312688 1615616 1886989 2322448 2625376 3231232 3773978 4644896 5250752 7547956 9289792 10501504 15095912 18579584 21003008 30191824 37159168 42006016 60383648 74318336 120767296 241534592 483069184 966138368
- Sum of all divisors σ(n): 2169611136
- Sum of proper divisors (its aliquot sum) s(n): 1203472768
- 966138368 is an abundant number, because the sum of its proper divisors (1203472768) is greater than itself. Its abundance is 237334400
Bases of 966138368
- Binary: 1110011001011000011010000000002
- Hexadecimal: 0x39961A00
- Base-36: FZ7P4W
Squares and roots of 966138368
- 966138368 squared (9661383682) is 933423346121703424
- 966138368 cubed (9661383683) is 901816108275121675443372032
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The
square root of 966138368 is 31082.7664148479 -
The
cube root of 966138368 is 988.5829360531
Scales and comparisons
How big is 966138368?- 966,138,368 seconds is equal to 30 years, 37 weeks, 3 days, 3 hours, 46 minutes, 8 seconds.
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To count from 1 to 966,138,368 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 966138368 cubic inches would be around 82.4 feet tall.
Recreational maths with 966138368
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