131728464
131,728,464 is an even composite number composed of four prime numbers multiplied together.
131728464 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 131728464:
24 × 33 × 74 × 127
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 127)See below for interesting mathematical facts about the number 131728464 from the Numbermatics database.
Names of 131728464
- Cardinal: 131728464 can be written as One hundred thirty-one million, seven hundred twenty-eight thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.31728464 × 108
Factors of 131728464
Divisors of 131728464
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 127 144 147 168 189 196 216 252 254 294 336 343 378 381 392 432 441 504 508 588 686 756 762 784 882 889 1008 1016 1029 1143 1176 1323 1372 1512 1524 1764 1778 2032 2058 2286 2352 2401 2646 2667 2744 3024 3048 3087 3429 3528 3556 4116 4572 4802 5292 5334 5488 6096 6174 6223 6858 7056 7112 7203 8001 8232 9144 9261 9604 10584 10668 12348 12446 13716 14224 14406 16002 16464 18288 18522 18669 19208 21168 21336 21609 24003 24696 24892 27432 28812 32004 37044 37338 38416 42672 43218 43561 48006 49392 49784 54864 56007 57624 64008 64827 74088 74676 86436 87122 96012 99568 112014 115248 128016 129654 130683 148176 149352 168021 172872 174244 192024 224028 259308 261366 298704 304927 336042 345744 348488 384048 392049 448056 518616 522732 609854 672084 696976 784098 896112 914781 1037232 1045464 1176147 1219708 1344168 1568196 1829562 2090928 2352294 2439416 2688336 2744343 3136392 3659124 4704588 4878832 5488686 6272784 7318248 8233029 9409176 10977372 14636496 16466058 18818352 21954744 32932116 43909488 65864232 131728464
- Sum of all divisors σ(n): 444574720
- Sum of proper divisors (its aliquot sum) s(n): 312846256
- 131728464 is an abundant number, because the sum of its proper divisors (312846256) is greater than itself. Its abundance is 181117792
Bases of 131728464
- Binary: 1111101101000000100010100002
- Hexadecimal: 0x7DA0450
- Base-36: 26FEC0
Squares and roots of 131728464
- 131728464 squared (1317284642) is 17352388227799296
- 131728464 cubed (1317284643) is 2285803447979683362361344
-
The
square root of 131728464 is 11477.3021220145 -
The
cube root of 131728464 is 508.8149648499
Scales and comparisons
How big is 131728464?- 131,728,464 seconds is equal to 4 years, 9 weeks, 5 days, 15 hours, 14 minutes, 24 seconds.
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To count from 1 to 131,728,464 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 131728464 cubic inches would be around 42.4 feet tall.
Recreational maths with 131728464
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