137407968
137,407,968 is an even composite number composed of four prime numbers multiplied together.
137407968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 137407968:
25 × 33 × 359 × 443
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 359 × 443)See below for interesting mathematical facts about the number 137407968 from the Numbermatics database.
Names of 137407968
- Cardinal: 137407968 can be written as One hundred thirty-seven million, four hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37407968 × 108
Factors of 137407968
Divisors of 137407968
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 359 432 443 718 864 886 1077 1329 1436 1772 2154 2658 2872 3231 3544 3987 4308 5316 5744 6462 7088 7974 8616 9693 10632 11488 11961 12924 14176 15948 17232 19386 21264 23922 25848 31896 34464 38772 42528 47844 51696 63792 77544 95688 103392 127584 155088 159037 191376 310176 318074 382752 477111 636148 954222 1272296 1431333 1908444 2544592 2862666 3816888 4293999 5089184 5725332 7633776 8587998 11450664 15267552 17175996 22901328 34351992 45802656 68703984 137407968
- Sum of all divisors σ(n): 402796800
- Sum of proper divisors (its aliquot sum) s(n): 265388832
- 137407968 is an abundant number, because the sum of its proper divisors (265388832) is greater than itself. Its abundance is 127980864
Bases of 137407968
- Binary: 10000011000010101101111000002
- Hexadecimal: 0x830ADE0
- Base-36: 29T4O0
Squares and roots of 137407968
- 137407968 squared (1374079682) is 18880949669889024
- 137407968 cubed (1374079683) is 2594392928049721573343232
-
The
square root of 137407968 is 11722.1144850235 -
The
cube root of 137407968 is 516.0248771133
Scales and comparisons
How big is 137407968?- 137,407,968 seconds is equal to 4 years, 19 weeks, 1 day, 8 hours, 52 minutes, 48 seconds.
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To count from 1 to 137,407,968 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 137407968 cubic inches would be around 43 feet tall.
Recreational maths with 137407968
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The information we have on file for 137407968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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