131107144
131,107,144 is an even composite number composed of five prime numbers multiplied together.
131107144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 131107144:
23 × 72 × 19 × 29 × 607
(2 × 2 × 2 × 7 × 7 × 19 × 29 × 607)See below for interesting mathematical facts about the number 131107144 from the Numbermatics database.
Names of 131107144
- Cardinal: 131107144 can be written as One hundred thirty-one million, one hundred seven thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.31107144 × 108
Factors of 131107144
Divisors of 131107144
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 7 8 14 19 28 29 38 49 56 58 76 98 116 133 152 196 203 232 266 392 406 532 551 607 812 931 1064 1102 1214 1421 1624 1862 2204 2428 2842 3724 3857 4249 4408 4856 5684 7448 7714 8498 11368 11533 15428 16996 17603 23066 26999 29743 30856 33992 35206 46132 53998 59486 70412 80731 92264 107996 118972 123221 140824 161462 215992 237944 246442 322924 334457 492884 565117 645848 668914 862547 985768 1130234 1337828 1725094 2260468 2341199 2675656 3450188 4520936 4682398 6900376 9364796 16388393 18729592 32776786 65553572 131107144
- Sum of all divisors σ(n): 311904000
- Sum of proper divisors (its aliquot sum) s(n): 180796856
- 131107144 is an abundant number, because the sum of its proper divisors (180796856) is greater than itself. Its abundance is 49689712
Bases of 131107144
- Binary: 1111101000010001001010010002
- Hexadecimal: 0x7D08948
- Base-36: 2622X4
Squares and roots of 131107144
- 131107144 squared (1311071442) is 17189083207836736
- 131107144 cubed (1311071443) is 2253611607357832875241984
-
The
square root of 131107144 is 11450.2027929639 -
The
cube root of 131107144 is 508.0137326563
Scales and comparisons
How big is 131107144?- 131,107,144 seconds is equal to 4 years, 8 weeks, 5 days, 10 hours, 39 minutes, 4 seconds.
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To count from 1 to 131,107,144 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 131107144 cubic inches would be around 42.3 feet tall.
Recreational maths with 131107144
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