131680416
131,680,416 is an even composite number composed of five prime numbers multiplied together.
131680416 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 131680416:
25 × 3 × 7 × 292 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 29 × 29 × 233)See below for interesting mathematical facts about the number 131680416 from the Numbermatics database.
Names of 131680416
- Cardinal: 131680416 can be written as One hundred thirty-one million, six hundred eighty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.31680416 × 108
Factors of 131680416
Divisors of 131680416
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 233 336 348 406 464 466 609 672 696 699 812 841 928 932 1218 1392 1398 1624 1631 1682 1864 2436 2523 2784 2796 3248 3262 3364 3728 4872 4893 5046 5592 5887 6496 6524 6728 6757 7456 9744 9786 10092 11184 11774 13048 13456 13514 17661 19488 19572 20184 20271 22368 23548 26096 26912 27028 35322 39144 40368 40542 47096 47299 52192 54056 70644 78288 80736 81084 94192 94598 108112 141288 141897 156576 162168 188384 189196 195953 216224 282576 283794 324336 378392 391906 565152 567588 587859 648672 756784 783812 1135176 1175718 1371671 1513568 1567624 2270352 2351436 2743342 3135248 4115013 4540704 4702872 5486684 6270496 8230026 9405744 10973368 16460052 18811488 21946736 32920104 43893472 65840208 131680416
- Sum of all divisors σ(n): 410889024
- Sum of proper divisors (its aliquot sum) s(n): 279208608
- 131680416 is an abundant number, because the sum of its proper divisors (279208608) is greater than itself. Its abundance is 147528192
Bases of 131680416
- Binary: 1111101100101001000101000002
- Hexadecimal: 0x7D948A0
- Base-36: 26ED9C
Squares and roots of 131680416
- 131680416 squared (1316804162) is 17339731957933056
- 131680416 cubed (1316804163) is 2283303117549119314231296
-
The
square root of 131680416 is 11475.2087562711 -
The
cube root of 131680416 is 508.7530938523
Scales and comparisons
How big is 131680416?- 131,680,416 seconds is equal to 4 years, 9 weeks, 5 days, 1 hour, 53 minutes, 36 seconds.
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To count from 1 to 131,680,416 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 131680416 cubic inches would be around 42.4 feet tall.
Recreational maths with 131680416
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The information we have on file for 131680416 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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