131338320
131,338,320 is an even composite number composed of six prime numbers multiplied together.
131338320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 131338320:
24 × 3 × 5 × 31 × 127 × 139
(2 × 2 × 2 × 2 × 3 × 5 × 31 × 127 × 139)See below for interesting mathematical facts about the number 131338320 from the Numbermatics database.
Names of 131338320
- Cardinal: 131338320 can be written as One hundred thirty-one million, three hundred thirty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3133832 × 108
Factors of 131338320
Divisors of 131338320
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 127 139 155 186 240 248 254 278 310 372 381 417 465 496 508 556 620 635 695 744 762 834 930 1016 1112 1240 1270 1390 1488 1524 1668 1860 1905 2032 2085 2224 2480 2540 2780 3048 3336 3720 3810 3937 4170 4309 5080 5560 6096 6672 7440 7620 7874 8340 8618 10160 11120 11811 12927 15240 15748 16680 17236 17653 19685 21545 23622 25854 30480 31496 33360 34472 35306 39370 43090 47244 51708 52959 59055 62992 64635 68944 70612 78740 86180 88265 94488 103416 105918 118110 129270 141224 157480 172360 176530 188976 206832 211836 236220 258540 264795 282448 314960 344720 353060 423672 472440 517080 529590 547243 706120 847344 944880 1034160 1059180 1094486 1412240 1641729 2118360 2188972 2736215 3283458 4236720 4377944 5472430 6566916 8208645 8755888 10944860 13133832 16417290 21889720 26267664 32834580 43779440 65669160 131338320
- Sum of all divisors σ(n): 426639360
- Sum of proper divisors (its aliquot sum) s(n): 295301040
- 131338320 is an abundant number, because the sum of its proper divisors (295301040) is greater than itself. Its abundance is 163962720
Bases of 131338320
- Binary: 1111101010000010000010100002
- Hexadecimal: 0x7D41050
- Base-36: 2671AO
Squares and roots of 131338320
- 131338320 squared (1313383202) is 17249754300422400
- 131338320 cubed (1313383203) is 2265553750230253306368000
-
The
square root of 131338320 is 11460.2931899667 -
The
cube root of 131338320 is 508.3121441197
Scales and comparisons
How big is 131338320?- 131,338,320 seconds is equal to 4 years, 9 weeks, 1 day, 2 hours, 52 minutes.
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To count from 1 to 131,338,320 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 131338320 cubic inches would be around 42.4 feet tall.
Recreational maths with 131338320
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