131332864
131,332,864 is an even composite number composed of five prime numbers multiplied together.
131332864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131332864:
28 × 13 × 19 × 31 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 19 × 31 × 67)See below for interesting mathematical facts about the number 131332864 from the Numbermatics database.
Names of 131332864
- Cardinal: 131332864 can be written as One hundred thirty-one million, three hundred thirty-two thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.31332864 × 108
Factors of 131332864
Divisors of 131332864
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 8 13 16 19 26 31 32 38 52 62 64 67 76 104 124 128 134 152 208 247 248 256 268 304 403 416 494 496 536 589 608 806 832 871 988 992 1072 1178 1216 1273 1612 1664 1742 1976 1984 2077 2144 2356 2432 2546 3224 3328 3484 3952 3968 4154 4288 4712 4864 5092 6448 6968 7657 7904 7936 8308 8576 9424 10184 12896 13936 15314 15808 16549 16616 17152 18848 20368 25792 27001 27872 30628 31616 33098 33232 37696 39463 40736 51584 54002 55744 61256 63232 66196 66464 75392 78926 81472 103168 108004 111488 122512 132392 132928 150784 157852 162944 216008 222976 245024 264784 265856 315704 325888 432016 490048 513019 529568 531712 631408 864032 980096 1026038 1059136 1262816 1728064 1960192 2052076 2118272 2525632 3456128 4104152 4236544 5051264 6912256 8208304 10102528 16416608 32833216 65666432 131332864
- Sum of all divisors σ(n): 311342080
- Sum of proper divisors (its aliquot sum) s(n): 180009216
- 131332864 is an abundant number, because the sum of its proper divisors (180009216) is greater than itself. Its abundance is 48676352
Bases of 131332864
- Binary: 1111101001111111011000000002
- Hexadecimal: 0x7D3FB00
- Base-36: 266X34
Squares and roots of 131332864
- 131332864 squared (1313328642) is 17248321166442496
- 131332864 cubed (1313328643) is 2265271417980713690988544
-
The
square root of 131332864 is 11460.0551482093 -
The
cube root of 131332864 is 508.3051053273
Scales and comparisons
How big is 131332864?- 131,332,864 seconds is equal to 4 years, 9 weeks, 1 day, 1 hour, 21 minutes, 4 seconds.
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To count from 1 to 131,332,864 would take you about 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 131332864 cubic inches would be around 42.4 feet tall.
Recreational maths with 131332864
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