138331125
138,331,125 is an odd composite number composed of four prime numbers multiplied together.
138331125 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 138331125:
33 × 53 × 17 × 2411
(3 × 3 × 3 × 5 × 5 × 5 × 17 × 2411)See below for interesting mathematical facts about the number 138331125 from the Numbermatics database.
Names of 138331125
- Cardinal: 138331125 can be written as One hundred thirty-eight million, three hundred thirty-one thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38331125 × 108
Factors of 138331125
Divisors of 138331125
- Number of divisors d(n): 64
-
Complete list of divisors:
1 3 5 9 15 17 25 27 45 51 75 85 125 135 153 225 255 375 425 459 675 765 1125 1275 2125 2295 2411 3375 3825 6375 7233 11475 12055 19125 21699 36165 40987 57375 60275 65097 108495 122961 180825 204935 301375 325485 368883 542475 614805 904125 1024675 1106649 1627425 1844415 2712375 3074025 5123375 5533245 8137125 9222075 15370125 27666225 46110375 138331125
- Sum of all divisors σ(n): 270915840
- Sum of proper divisors (its aliquot sum) s(n): 132584715
- 138331125 is a deficient number, because the sum of its proper divisors (132584715) is less than itself. Its deficiency is 5746410
Bases of 138331125
- Binary: 10000011111011000011111101012
- Hexadecimal: 0x83EC3F5
- Base-36: 2ACWZ9
Squares and roots of 138331125
- 138331125 squared (1383311252) is 19135500143765625
- 138331125 cubed (1383311253) is 2647035262324760642578125
-
The
square root of 138331125 is 11761.4252962811 -
The
cube root of 138331125 is 517.1779134199
Scales and comparisons
How big is 138331125?- 138,331,125 seconds is equal to 4 years, 20 weeks, 5 days, 1 hour, 18 minutes, 45 seconds.
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To count from 1 to 138,331,125 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 138331125 cubic inches would be around 43.1 feet tall.
Recreational maths with 138331125
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