131997168
131,997,168 is an even composite number composed of four prime numbers multiplied together.
131997168 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 131997168:
24 × 33 × 61 × 5009
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 61 × 5009)See below for interesting mathematical facts about the number 131997168 from the Numbermatics database.
Names of 131997168
- Cardinal: 131997168 can be written as One hundred thirty-one million, nine hundred ninety-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31997168 × 108
Factors of 131997168
Divisors of 131997168
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 5009 6588 8784 10018 13176 15027 20036 26352 30054 40072 45081 60108 80144 90162 120216 135243 180324 240432 270486 305549 360648 540972 611098 721296 916647 1081944 1222196 1833294 2163888 2444392 2749941 3666588 4888784 5499882 7333176 8249823 10999764 14666352 16499646 21999528 32999292 43999056 65998584 131997168
- Sum of all divisors σ(n): 385168800
- Sum of proper divisors (its aliquot sum) s(n): 253171632
- 131997168 is an abundant number, because the sum of its proper divisors (253171632) is greater than itself. Its abundance is 121174464
Bases of 131997168
- Binary: 1111101111000011101111100002
- Hexadecimal: 0x7DE1DF0
- Base-36: 26L5O0
Squares and roots of 131997168
- 131997168 squared (1319971682) is 17423252360020224
- 131997168 cubed (1319971683) is 2299819968871985990725632
-
The
square root of 131997168 is 11489.0020454345 -
The
cube root of 131997168 is 509.1606956435
Scales and comparisons
How big is 131997168?- 131,997,168 seconds is equal to 4 years, 10 weeks, 1 day, 17 hours, 52 minutes, 48 seconds.
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To count from 1 to 131,997,168 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 131997168 cubic inches would be around 42.4 feet tall.
Recreational maths with 131997168
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