137248920
137,248,920 is an even composite number composed of five prime numbers multiplied together.
137248920 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 137248920:
23 × 32 × 5 × 461 × 827
(2 × 2 × 2 × 3 × 3 × 5 × 461 × 827)See below for interesting mathematical facts about the number 137248920 from the Numbermatics database.
Names of 137248920
- Cardinal: 137248920 can be written as One hundred thirty-seven million, two hundred forty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3724892 × 108
Factors of 137248920
Divisors of 137248920
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 461 827 922 1383 1654 1844 2305 2481 2766 3308 3688 4135 4149 4610 4962 5532 6616 6915 7443 8270 8298 9220 9924 11064 12405 13830 14886 16540 16596 18440 19848 20745 24810 27660 29772 33080 33192 37215 41490 49620 55320 59544 74430 82980 99240 148860 165960 297720 381247 762494 1143741 1524988 1906235 2287482 3049976 3431223 3812470 4574964 5718705 6862446 7624940 9149928 11437410 13724892 15249880 17156115 22874820 27449784 34312230 45749640 68624460 137248920
- Sum of all divisors σ(n): 447567120
- Sum of proper divisors (its aliquot sum) s(n): 310318200
- 137248920 is an abundant number, because the sum of its proper divisors (310318200) is greater than itself. Its abundance is 173069280
Bases of 137248920
- Binary: 10000010111001000000100110002
- Hexadecimal: 0x82E4098
- Base-36: 29PPY0
Squares and roots of 137248920
- 137248920 squared (1372489202) is 18837266041166400
- 137248920 cubed (1372489203) is 2585394419902763940288000
-
The
square root of 137248920 is 11715.3284204925 -
The
cube root of 137248920 is 515.8257028045
Scales and comparisons
How big is 137248920?- 137,248,920 seconds is equal to 4 years, 18 weeks, 6 days, 12 hours, 42 minutes.
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To count from 1 to 137,248,920 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 137248920 cubic inches would be around 43 feet tall.
Recreational maths with 137248920
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