131238144
131,238,144 is an even composite number composed of three prime numbers multiplied together.
131238144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety divisors.
Prime factorization of 131238144:
28 × 34 × 6329
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 6329)See below for interesting mathematical facts about the number 131238144 from the Numbermatics database.
Names of 131238144
- Cardinal: 131238144 can be written as One hundred thirty-one million, two hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.31238144 × 108
Factors of 131238144
Divisors of 131238144
- Number of divisors d(n): 90
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6329 6912 10368 12658 18987 20736 25316 37974 50632 56961 75948 101264 113922 151896 170883 202528 227844 303792 341766 405056 455688 512649 607584 683532 810112 911376 1025298 1215168 1367064 1620224 1822752 2050596 2430336 2734128 3645504 4101192 4860672 5468256 7291008 8202384 10936512 14582016 16404768 21873024 32809536 43746048 65619072 131238144
- Sum of all divisors σ(n): 391390230
- Sum of proper divisors (its aliquot sum) s(n): 260152086
- 131238144 is an abundant number, because the sum of its proper divisors (260152086) is greater than itself. Its abundance is 128913942
Bases of 131238144
- Binary: 1111101001010001001000000002
- Hexadecimal: 0x7D28900
- Base-36: 264W00
Squares and roots of 131238144
- 131238144 squared (1312381442) is 17223450440564736
- 131238144 cubed (1312381443) is 2260373669095698264489984
-
The
square root of 131238144 is 11455.9217874425 -
The
cube root of 131238144 is 508.1828758575
Scales and comparisons
How big is 131238144?- 131,238,144 seconds is equal to 4 years, 8 weeks, 6 days, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 131,238,144 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 131238144 cubic inches would be around 42.3 feet tall.
Recreational maths with 131238144
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