137593920
137,593,920 is an even composite number composed of five prime numbers multiplied together.
137593920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 137593920:
26 × 3 × 5 × 17 × 8431
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 8431)See below for interesting mathematical facts about the number 137593920 from the Numbermatics database.
Names of 137593920
- Cardinal: 137593920 can be written as One hundred thirty-seven million, five hundred ninety-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3759392 × 108
Factors of 137593920
Divisors of 137593920
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 8431 16320 16862 25293 33724 42155 50586 67448 84310 101172 126465 134896 143327 168620 202344 252930 269792 286654 337240 404688 429981 505860 539584 573308 674480 716635 809376 859962 1011720 1146616 1348960 1433270 1618752 1719924 2023440 2149905 2293232 2697920 2866540 3439848 4046880 4299810 4586464 5733080 6879696 8093760 8599620 9172928 11466160 13759392 17199240 22932320 27518784 34398480 45864640 68796960 137593920
- Sum of all divisors σ(n): 462613248
- Sum of proper divisors (its aliquot sum) s(n): 325019328
- 137593920 is an abundant number, because the sum of its proper divisors (325019328) is greater than itself. Its abundance is 187425408
Bases of 137593920
- Binary: 10000011001110000100010000002
- Hexadecimal: 0x8338440
- Base-36: 29X45C
Squares and roots of 137593920
- 137593920 squared (1375939202) is 18932086820966400
- 137593920 cubed (1375939203) is 2604940039477105164288000
-
The
square root of 137593920 is 11730.0434781803 -
The
cube root of 137593920 is 516.2575482523
Scales and comparisons
How big is 137593920?- 137,593,920 seconds is equal to 4 years, 19 weeks, 3 days, 12 hours, 32 minutes.
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To count from 1 to 137,593,920 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 137593920 cubic inches would be around 43 feet tall.
Recreational maths with 137593920
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