131973006
131,973,006 is an even composite number composed of five prime numbers multiplied together.
131973006 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 131973006:
2 × 3 × 112 × 173 × 37
(2 × 3 × 11 × 11 × 17 × 17 × 17 × 37)See below for interesting mathematical facts about the number 131973006 from the Numbermatics database.
Names of 131973006
- Cardinal: 131973006 can be written as One hundred thirty-one million, nine hundred seventy-three thousand and six.
Scientific notation
- Scientific notation: 1.31973006 × 108
Factors of 131973006
Divisors of 131973006
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 121 187 222 242 289 363 374 407 561 578 629 726 814 867 1122 1221 1258 1734 1887 2057 2442 3179 3774 4114 4477 4913 6171 6358 6919 8954 9537 9826 10693 12342 13431 13838 14739 19074 20757 21386 26862 29478 32079 34969 41514 54043 64158 69938 76109 104907 108086 117623 152218 162129 181781 209814 228327 235246 324258 352869 363562 456654 545343 594473 705738 1090686 1188946 1293853 1783419 1999591 2587706 3566838 3881559 3999182 5998773 7763118 11997546 21995501 43991002 65986503 131973006
- Sum of all divisors σ(n): 316582560
- Sum of proper divisors (its aliquot sum) s(n): 184609554
- 131973006 is an abundant number, because the sum of its proper divisors (184609554) is greater than itself. Its abundance is 52636548
Bases of 131973006
- Binary: 1111101110110111111100011102
- Hexadecimal: 0x7DDBF8E
- Base-36: 26KN0U
Squares and roots of 131973006
- 131973006 squared (1319730062) is 17416874312676036
- 131973006 cubed (1319730063) is 2298557258168040375084216
-
The
square root of 131973006 is 11487.9504699489 -
The
cube root of 131973006 is 509.1296265641
Scales and comparisons
How big is 131973006?- 131,973,006 seconds is equal to 4 years, 10 weeks, 1 day, 11 hours, 10 minutes, 6 seconds.
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To count from 1 to 131,973,006 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 131973006 cubic inches would be around 42.4 feet tall.
Recreational maths with 131973006
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The information we have on file for 131973006 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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