131123664
131,123,664 is an even composite number composed of five prime numbers multiplied together.
131123664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 131123664:
24 × 33 × 7 × 131 × 331
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 131 × 331)See below for interesting mathematical facts about the number 131123664 from the Numbermatics database.
Names of 131123664
- Cardinal: 131123664 can be written as One hundred thirty-one million, one hundred twenty-three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.31123664 × 108
Factors of 131123664
Divisors of 131123664
- Number of divisors d(n): 160
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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 54 56 63 72 84 108 112 126 131 144 168 189 216 252 262 331 336 378 393 432 504 524 662 756 786 917 993 1008 1048 1179 1324 1512 1572 1834 1986 2096 2317 2358 2648 2751 2979 3024 3144 3537 3668 3972 4634 4716 5296 5502 5958 6288 6951 7074 7336 7944 8253 8937 9268 9432 11004 11916 13902 14148 14672 15888 16506 17874 18536 18864 20853 22008 23832 24759 27804 28296 33012 35748 37072 41706 43361 44016 47664 49518 55608 56592 62559 66024 71496 83412 86722 99036 111216 125118 130083 132048 142992 166824 173444 198072 250236 260166 303527 333648 346888 390249 396144 500472 520332 607054 693776 780498 910581 1000944 1040664 1170747 1214108 1560996 1821162 2081328 2341494 2428216 2731743 3121992 3642324 4682988 4856432 5463486 6243984 7284648 8195229 9365976 10926972 14569296 16390458 18731952 21853944 32780916 43707888 65561832 131123664
- Sum of all divisors σ(n): 434734080
- Sum of proper divisors (its aliquot sum) s(n): 303610416
- 131123664 is an abundant number, because the sum of its proper divisors (303610416) is greater than itself. Its abundance is 172486752
Bases of 131123664
- Binary: 1111101000011001001110100002
- Hexadecimal: 0x7D0C9D0
- Base-36: 262FO0
Squares and roots of 131123664
- 131123664 squared (1311236642) is 17193415260784896
- 131123664 cubed (1311236643) is 2254463605667631079378944
-
The
square root of 131123664 is 11450.9241548445 -
The
cube root of 131123664 is 508.0350689825
Scales and comparisons
How big is 131123664?- 131,123,664 seconds is equal to 4 years, 8 weeks, 5 days, 15 hours, 14 minutes, 24 seconds.
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To count from 1 to 131,123,664 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 131123664 cubic inches would be around 42.3 feet tall.
Recreational maths with 131123664
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