131125764
131,125,764 is an even composite number composed of six prime numbers multiplied together.
131125764 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 131125764:
22 × 3 × 72 × 112 × 19 × 97
(2 × 2 × 3 × 7 × 7 × 11 × 11 × 19 × 97)See below for interesting mathematical facts about the number 131125764 from the Numbermatics database.
Names of 131125764
- Cardinal: 131125764 can be written as One hundred thirty-one million, one hundred twenty-five thousand, seven hundred sixty-four.
Scientific notation
- Scientific notation: 1.31125764 × 108
Factors of 131125764
Divisors of 131125764
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 49 57 66 76 77 84 97 98 114 121 132 133 147 154 194 196 209 228 231 242 266 291 294 308 363 388 399 418 462 484 532 539 582 588 627 679 726 798 836 847 924 931 1067 1078 1164 1254 1358 1452 1463 1596 1617 1694 1843 1862 2037 2134 2156 2299 2508 2541 2716 2793 2926 3201 3234 3388 3686 3724 4074 4268 4389 4598 4753 5082 5529 5586 5852 5929 6402 6468 6897 7372 7469 8148 8778 9196 9506 10164 10241 11058 11172 11737 11858 12804 12901 13794 14259 14938 16093 17556 17787 19012 20273 20482 22116 22407 23474 23716 25802 27588 28518 29876 30723 32186 35211 35574 38703 40546 40964 44814 46948 48279 51604 52283 57036 60819 61446 64372 70422 71148 77406 81092 82159 89628 90307 96558 104566 112651 121638 122892 140844 141911 154812 156849 164318 180614 193116 209132 223003 225302 243276 246477 270921 283822 313698 328636 337953 361228 425733 446006 450604 492954 541842 567644 575113 627396 669009 675906 851466 892012 985908 993377 1083684 1150226 1338018 1351812 1561021 1702932 1725339 1986754 2300452 2676036 2980131 3122042 3450678 3973508 4683063 5960262 6244084 6901356 9366126 10927147 11920524 18732252 21854294 32781441 43708588 65562882 131125764
- Sum of all divisors σ(n): 416045280
- Sum of proper divisors (its aliquot sum) s(n): 284919516
- 131125764 is an abundant number, because the sum of its proper divisors (284919516) is greater than itself. Its abundance is 153793752
Bases of 131125764
- Binary: 1111101000011010010000001002
- Hexadecimal: 0x7D0D204
- Base-36: 262HAC
Squares and roots of 131125764
- 131125764 squared (1311257642) is 17193965984583696
- 131125764 cubed (1311257643) is 2254571925918549359943744
-
The
square root of 131125764 is 11451.0158501331 -
The
cube root of 131125764 is 508.0377810989
Scales and comparisons
How big is 131125764?- 131,125,764 seconds is equal to 4 years, 8 weeks, 5 days, 15 hours, 49 minutes, 24 seconds.
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To count from 1 to 131,125,764 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 131125764 cubic inches would be around 42.3 feet tall.
Recreational maths with 131125764
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