13812800
13,812,800 is an even composite number composed of four prime numbers multiplied together.
13812800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 13812800:
26 × 52 × 89 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 89 × 97)See below for interesting mathematical facts about the number 13812800 from the Numbermatics database.
Names of 13812800
- Cardinal: 13812800 can be written as Thirteen million, eight hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38128 × 107
Factors of 13812800
Divisors of 13812800
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 97 100 160 178 194 200 320 356 388 400 445 485 712 776 800 890 970 1424 1552 1600 1780 1940 2225 2425 2848 3104 3560 3880 4450 4850 5696 6208 7120 7760 8633 8900 9700 14240 15520 17266 17800 19400 28480 31040 34532 35600 38800 43165 69064 71200 77600 86330 138128 142400 155200 172660 215825 276256 345320 431650 552512 690640 863300 1381280 1726600 2762560 3453200 6906400 13812800
- Sum of all divisors σ(n): 34724340
- Sum of proper divisors (its aliquot sum) s(n): 20911540
- 13812800 is an abundant number, because the sum of its proper divisors (20911540) is greater than itself. Its abundance is 7098740
Bases of 13812800
- Binary: 1101001011000100010000002
- Hexadecimal: 0xD2C440
- Base-36: 8820W
Squares and roots of 13812800
- 13812800 squared (138128002) is 190793443840000
- 13812800 cubed (138128003) is 2635391681073152000000
-
The
square root of 13812800 is 3716.5575469781 -
The
cube root of 13812800 is 239.9351676733
Scales and comparisons
How big is 13812800?- 13,812,800 seconds is equal to 22 weeks, 5 days, 20 hours, 53 minutes, 20 seconds.
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To count from 1 to 13,812,800 would take you about thirty-four weeks!
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 13812800 cubic inches would be around 20 feet tall.
Recreational maths with 13812800
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