138601125
138,601,125 is an odd composite number composed of three prime numbers multiplied together.
138601125 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 138601125:
38 × 53 × 132
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13)See below for interesting mathematical facts about the number 138601125 from the Numbermatics database.
Names of 138601125
- Cardinal: 138601125 can be written as One hundred thirty-eight million, six hundred one thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38601125 × 108
Factors of 138601125
Divisors of 138601125
- Number of divisors d(n): 108
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Complete list of divisors:
1 3 5 9 13 15 25 27 39 45 65 75 81 117 125 135 169 195 225 243 325 351 375 405 507 585 675 729 845 975 1053 1125 1215 1521 1625 1755 2025 2187 2535 2925 3159 3375 3645 4225 4563 4875 5265 6075 6561 7605 8775 9477 10125 10935 12675 13689 14625 15795 18225 21125 22815 26325 28431 30375 32805 38025 41067 43875 47385 54675 63375 68445 78975 85293 91125 114075 123201 131625 142155 164025 190125 205335 236925 273375 342225 369603 394875 426465 570375 616005 710775 820125 1026675 1108809 1184625 1711125 1848015 2132325 3080025 3553875 5133375 5544045 9240075 10661625 15400125 27720225 46200375 138601125
- Sum of all divisors σ(n): 280940868
- Sum of proper divisors (its aliquot sum) s(n): 142339743
- 138601125 is an abundant number, because the sum of its proper divisors (142339743) is greater than itself. Its abundance is 3738618
Bases of 138601125
- Binary: 10000100001011100010101001012
- Hexadecimal: 0x842E2A5
- Base-36: 2AIPB9
Squares and roots of 138601125
- 138601125 squared (1386011252) is 19210271851265625
- 138601125 cubed (1386011253) is 2662565290141248298828125
-
The
square root of 138601125 is 11772.8979015363 -
The
cube root of 138601125 is 517.5141773053
Scales and comparisons
How big is 138601125?- 138,601,125 seconds is equal to 4 years, 21 weeks, 1 day, 4 hours, 18 minutes, 45 seconds.
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To count from 1 to 138,601,125 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 138601125 cubic inches would be around 43.1 feet tall.
Recreational maths with 138601125
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