138330080
138,330,080 is an even composite number composed of five prime numbers multiplied together.
138330080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 138330080:
25 × 5 × 7 × 113 × 1093
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 113 × 1093)See below for interesting mathematical facts about the number 138330080 from the Numbermatics database.
Names of 138330080
- Cardinal: 138330080 can be written as One hundred thirty-eight million, three hundred thirty thousand and eighty.
Scientific notation
- Scientific notation: 1.3833008 × 108
Factors of 138330080
Divisors of 138330080
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 1093 1120 1130 1582 1808 2186 2260 3164 3616 3955 4372 4520 5465 6328 7651 7910 8744 9040 10930 12656 15302 15820 17488 18080 21860 25312 30604 31640 34976 38255 43720 61208 63280 76510 87440 122416 123509 126560 153020 174880 244832 247018 306040 494036 612080 617545 864563 988072 1224160 1235090 1729126 1976144 2470180 3458252 3952288 4322815 4940360 6916504 8645630 9880720 13833008 17291260 19761440 27666016 34582520 69165040 138330080
- Sum of all divisors σ(n): 377141184
- Sum of proper divisors (its aliquot sum) s(n): 238811104
- 138330080 is an abundant number, because the sum of its proper divisors (238811104) is greater than itself. Its abundance is 100481024
Bases of 138330080
- Binary: 10000011111010111111111000002
- Hexadecimal: 0x83EBFE0
- Base-36: 2ACW68
Squares and roots of 138330080
- 138330080 squared (1383300802) is 19135211032806400
- 138330080 cubed (1383300803) is 2646975272984991936512000
-
The
square root of 138330080 is 11761.3808713091 -
The
cube root of 138330080 is 517.1766111045
Scales and comparisons
How big is 138330080?- 138,330,080 seconds is equal to 4 years, 20 weeks, 5 days, 1 hour, 1 minute, 20 seconds.
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To count from 1 to 138,330,080 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 138330080 cubic inches would be around 43.1 feet tall.
Recreational maths with 138330080
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