131074125
131,074,125 is an odd composite number composed of six prime numbers multiplied together.
131074125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 131074125:
3 × 53 × 7 × 13 × 23 × 167
(3 × 5 × 5 × 5 × 7 × 13 × 23 × 167)See below for interesting mathematical facts about the number 131074125 from the Numbermatics database.
Names of 131074125
- Cardinal: 131074125 can be written as One hundred thirty-one million, seventy-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.31074125 × 108
Factors of 131074125
Divisors of 131074125
- Number of divisors d(n): 128
-
Complete list of divisors:
1 3 5 7 13 15 21 23 25 35 39 65 69 75 91 105 115 125 161 167 175 195 273 299 325 345 375 455 483 501 525 575 805 835 875 897 975 1169 1365 1495 1625 1725 2093 2171 2275 2415 2505 2625 2875 3507 3841 4025 4175 4485 4875 5845 6279 6513 6825 7475 8625 10465 10855 11375 11523 12075 12525 15197 17535 19205 20125 20875 22425 26887 29225 31395 32565 34125 37375 45591 49933 52325 54275 57615 60375 62625 75985 80661 87675 96025 112125 134435 146125 149799 156975 162825 227955 249665 261625 271375 288075 349531 379925 403305 438375 480125 672175 748995 784875 814125 1048593 1139775 1248325 1440375 1747655 1899625 2016525 3360875 3744975 5242965 5698875 6241625 8738275 10082625 18724875 26214825 43691375 131074125
- Sum of all divisors σ(n): 281788416
- Sum of proper divisors (its aliquot sum) s(n): 150714291
- 131074125 is an abundant number, because the sum of its proper divisors (150714291) is greater than itself. Its abundance is 19640166
Bases of 131074125
- Binary: 1111101000000001000010011012
- Hexadecimal: 0x7D0084D
- Base-36: 261DFX
Squares and roots of 131074125
- 131074125 squared (1310741252) is 17180426244515625
- 131074125 cubed (1310741253) is 2251909337126921595703125
-
The
square root of 131074125 is 11448.7608499785 -
The
cube root of 131074125 is 507.9710817545
Scales and comparisons
How big is 131074125?- 131,074,125 seconds is equal to 4 years, 8 weeks, 5 days, 1 hour, 28 minutes, 45 seconds.
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To count from 1 to 131,074,125 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 131074125 cubic inches would be around 42.3 feet tall.
Recreational maths with 131074125
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