131088672
131,088,672 is an even composite number composed of five prime numbers multiplied together.
131088672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 131088672:
25 × 33 × 11 × 13 × 1061
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 1061)See below for interesting mathematical facts about the number 131088672 from the Numbermatics database.
Names of 131088672
- Cardinal: 131088672 can be written as One hundred thirty-one million, eighty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.31088672 × 108
Factors of 131088672
Divisors of 131088672
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 88 96 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 288 297 312 351 352 396 416 429 432 468 528 572 594 624 702 792 858 864 936 1056 1061 1144 1188 1248 1287 1404 1584 1716 1872 2122 2288 2376 2574 2808 3168 3183 3432 3744 3861 4244 4576 4752 5148 5616 6366 6864 7722 8488 9504 9549 10296 11232 11671 12732 13728 13793 15444 16976 19098 20592 23342 25464 27586 28647 30888 33952 35013 38196 41184 41379 46684 50928 55172 57294 61776 70026 76392 82758 93368 101856 105039 110344 114588 123552 124137 140052 151723 152784 165516 186736 210078 220688 229176 248274 280104 303446 305568 315117 331032 372411 373472 420156 441376 455169 458352 496548 560208 606892 630234 662064 744822 840312 910338 916704 993096 1120416 1213784 1260468 1324128 1365507 1489644 1680624 1820676 1986192 2427568 2520936 2731014 2979288 3361248 3641352 3972384 4096521 4855136 5041872 5462028 5958576 7282704 8193042 10083744 10924056 11917152 14565408 16386084 21848112 32772168 43696224 65544336 131088672
- Sum of all divisors σ(n): 449608320
- Sum of proper divisors (its aliquot sum) s(n): 318519648
- 131088672 is an abundant number, because the sum of its proper divisors (318519648) is greater than itself. Its abundance is 187430976
Bases of 131088672
- Binary: 1111101000001000001001000002
- Hexadecimal: 0x7D04120
- Base-36: 261OO0
Squares and roots of 131088672
- 131088672 squared (1310886722) is 17184239926723584
- 131088672 cubed (1310886723) is 2252659191323571937640448
-
The
square root of 131088672 is 11449.3961412819 -
The
cube root of 131088672 is 507.9898731111
Scales and comparisons
How big is 131088672?- 131,088,672 seconds is equal to 4 years, 8 weeks, 5 days, 5 hours, 31 minutes, 12 seconds.
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To count from 1 to 131,088,672 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 131088672 cubic inches would be around 42.3 feet tall.
Recreational maths with 131088672
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