138642525
138,642,525 is an odd composite number composed of six prime numbers multiplied together.
138642525 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138642525:
32 × 52 × 7 × 19 × 41 × 113
(3 × 3 × 5 × 5 × 7 × 19 × 41 × 113)See below for interesting mathematical facts about the number 138642525 from the Numbermatics database.
Names of 138642525
- Cardinal: 138642525 can be written as One hundred thirty-eight million, six hundred forty-two thousand, five hundred twenty-five.
Scientific notation
- Scientific notation: 1.38642525 × 108
Factors of 138642525
Divisors of 138642525
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 9 15 19 21 25 35 41 45 57 63 75 95 105 113 123 133 171 175 205 225 285 287 315 339 369 399 475 525 565 615 665 779 791 855 861 1017 1025 1197 1425 1435 1575 1695 1845 1995 2147 2337 2373 2583 2825 3075 3325 3895 3955 4275 4305 4633 5085 5453 5985 6441 7011 7119 7175 8475 9225 9975 10735 11685 11865 12915 13899 15029 16359 19323 19475 19775 21525 23165 25425 27265 29925 32205 32431 35055 35595 41697 45087 49077 53675 58425 59325 64575 69495 75145 81795 88027 96615 97293 115825 135261 136325 161025 162155 175275 177975 208485 225435 245385 264081 291879 347475 375725 408975 440135 483075 486465 616189 676305 792243 810775 1042425 1127175 1226925 1320405 1459395 1848567 2200675 2432325 3080945 3381525 3961215 5545701 6602025 7296975 9242835 15404725 19806075 27728505 46214175 138642525
- Sum of all divisors σ(n): 308730240
- Sum of proper divisors (its aliquot sum) s(n): 170087715
- 138642525 is an abundant number, because the sum of its proper divisors (170087715) is greater than itself. Its abundance is 31445190
Bases of 138642525
- Binary: 10000100001110000100010111012
- Hexadecimal: 0x843845D
- Base-36: 2AJL99
Squares and roots of 138642525
- 138642525 squared (1386425252) is 19221749738375625
- 138642525 cubed (1386425253) is 2664951918646486048453125
-
The
square root of 138642525 is 11774.6560459319 -
The
cube root of 138642525 is 517.5656991431
Scales and comparisons
How big is 138642525?- 138,642,525 seconds is equal to 4 years, 21 weeks, 1 day, 15 hours, 48 minutes, 45 seconds.
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To count from 1 to 138,642,525 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 138642525 cubic inches would be around 43.1 feet tall.
Recreational maths with 138642525
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