12137664
12,137,664 is an even composite number composed of five prime numbers multiplied together.
12137664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 12137664:
26 × 3 × 7 × 11 × 821
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 821)See below for interesting mathematical facts about the number 12137664 from the Numbermatics database.
Names of 12137664
- Cardinal: 12137664 can be written as Twelve million, one hundred thirty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.2137664 × 107
Factors of 12137664
Divisors of 12137664
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 821 924 1056 1232 1344 1642 1848 2112 2463 2464 3284 3696 4926 4928 5747 6568 7392 9031 9852 11494 13136 14784 17241 18062 19704 22988 26272 27093 34482 36124 39408 45976 52544 54186 63217 68964 72248 78816 91952 108372 126434 137928 144496 157632 183904 189651 216744 252868 275856 288992 367808 379302 433488 505736 551712 577984 758604 866976 1011472 1103424 1517208 1733952 2022944 3034416 4045888 6068832 12137664
- Sum of all divisors σ(n): 40087296
- Sum of proper divisors (its aliquot sum) s(n): 27949632
- 12137664 is an abundant number, because the sum of its proper divisors (27949632) is greater than itself. Its abundance is 15811968
Bases of 12137664
- Binary: 1011100100110100110000002
- Hexadecimal: 0xB934C0
- Base-36: 785HC
Squares and roots of 12137664
- 12137664 squared (121376642) is 147322887376896
- 12137664 cubed (121376643) is 1788155706490605010944
-
The
square root of 12137664 is 3483.9150391477 -
The
cube root of 12137664 is 229.8149993125
Scales and comparisons
How big is 12137664?- 12,137,664 seconds is equal to 20 weeks, 11 hours, 34 minutes, 24 seconds.
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To count from 1 to 12,137,664 would take you about thirty weeks!
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 12137664 cubic inches would be around 19.2 feet tall.
Recreational maths with 12137664
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