137668020
137,668,020 is an even composite number composed of six prime numbers multiplied together.
137668020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 137668020:
22 × 3 × 5 × 7 × 433 × 757
(2 × 2 × 3 × 5 × 7 × 433 × 757)See below for interesting mathematical facts about the number 137668020 from the Numbermatics database.
Names of 137668020
- Cardinal: 137668020 can be written as One hundred thirty-seven million, six hundred sixty-eight thousand and twenty.
Scientific notation
- Scientific notation: 1.3766802 × 108
Factors of 137668020
Divisors of 137668020
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 433 757 866 1299 1514 1732 2165 2271 2598 3028 3031 3785 4330 4542 5196 5299 6062 6495 7570 8660 9084 9093 10598 11355 12124 12990 15140 15155 15897 18186 21196 22710 25980 26495 30310 31794 36372 45420 45465 52990 60620 63588 79485 90930 105980 158970 181860 317940 327781 655562 983343 1311124 1638905 1966686 2294467 3277810 3933372 4588934 4916715 6555620 6883401 9177868 9833430 11472335 13766802 19666860 22944670 27533604 34417005 45889340 68834010 137668020
- Sum of all divisors σ(n): 442138368
- Sum of proper divisors (its aliquot sum) s(n): 304470348
- 137668020 is an abundant number, because the sum of its proper divisors (304470348) is greater than itself. Its abundance is 166802328
Bases of 137668020
- Binary: 10000011010010100101101101002
- Hexadecimal: 0x834A5B4
- Base-36: 29YPBO
Squares and roots of 137668020
- 137668020 squared (1376680202) is 18952483730720400
- 137668020 cubed (1376680203) is 2609150909290490641608000
-
The
square root of 137668020 is 11733.2016091091 -
The
cube root of 137668020 is 516.3502069471
Scales and comparisons
How big is 137668020?- 137,668,020 seconds is equal to 4 years, 19 weeks, 4 days, 9 hours, 7 minutes.
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To count from 1 to 137,668,020 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 137668020 cubic inches would be around 43 feet tall.
Recreational maths with 137668020
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