131188125
131,188,125 is an odd composite number composed of five prime numbers multiplied together.
131188125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 131188125:
3 × 54 × 31 × 37 × 61
(3 × 5 × 5 × 5 × 5 × 31 × 37 × 61)See below for interesting mathematical facts about the number 131188125 from the Numbermatics database.
Names of 131188125
- Cardinal: 131188125 can be written as One hundred thirty-one million, one hundred eighty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.31188125 × 108
Factors of 131188125
Divisors of 131188125
- Number of divisors d(n): 80
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Complete list of divisors:
1 3 5 15 25 31 37 61 75 93 111 125 155 183 185 305 375 465 555 625 775 915 925 1147 1525 1875 1891 2257 2325 2775 3441 3875 4575 4625 5673 5735 6771 7625 9455 11285 11625 13875 17205 19375 22875 23125 28365 28675 33855 38125 47275 56425 58125 69375 69967 86025 114375 141825 143375 169275 209901 236375 282125 349835 430125 709125 716875 846375 1049505 1181875 1410625 1749175 2150625 3545625 4231875 5247525 8745875 26237625 43729375 131188125
- Sum of all divisors σ(n): 235524608
- Sum of proper divisors (its aliquot sum) s(n): 104336483
- 131188125 is a deficient number, because the sum of its proper divisors (104336483) is less than itself. Its deficiency is 26851642
Bases of 131188125
- Binary: 1111101000111000101100111012
- Hexadecimal: 0x7D1C59D
- Base-36: 263TEL
Squares and roots of 131188125
- 131188125 squared (1311881252) is 17210324141015625
- 131188125 cubed (1311881253) is 2257790154702075439453125
-
The
square root of 131188125 is 11453.7384726559 -
The
cube root of 131188125 is 508.1183061411
Scales and comparisons
How big is 131188125?- 131,188,125 seconds is equal to 4 years, 8 weeks, 6 days, 9 hours, 8 minutes, 45 seconds.
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To count from 1 to 131,188,125 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 131188125 cubic inches would be around 42.3 feet tall.
Recreational maths with 131188125
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