131248768
131,248,768 is an even composite number composed of four prime numbers multiplied together.
131248768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 131248768:
27 × 7 × 372 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 37 × 37 × 107)See below for interesting mathematical facts about the number 131248768 from the Numbermatics database.
Names of 131248768
- Cardinal: 131248768 can be written as One hundred thirty-one million, two hundred forty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31248768 × 108
Factors of 131248768
Divisors of 131248768
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 37 56 64 74 107 112 128 148 214 224 259 296 428 448 518 592 749 856 896 1036 1184 1369 1498 1712 2072 2368 2738 2996 3424 3959 4144 4736 5476 5992 6848 7918 8288 9583 10952 11984 13696 15836 16576 19166 21904 23968 27713 31672 33152 38332 43808 47936 55426 63344 76664 87616 95872 110852 126688 146483 153328 175232 221704 253376 292966 306656 443408 506752 585932 613312 886816 1025381 1171864 1226624 1773632 2050762 2343728 3547264 4101524 4687456 8203048 9374912 16406096 18749824 32812192 65624384 131248768
- Sum of all divisors σ(n): 309990240
- Sum of proper divisors (its aliquot sum) s(n): 178741472
- 131248768 is an abundant number, because the sum of its proper divisors (178741472) is greater than itself. Its abundance is 47492704
Bases of 131248768
- Binary: 1111101001010110010100000002
- Hexadecimal: 0x7D2B280
- Base-36: 265474
Squares and roots of 131248768
- 131248768 squared (1312487682) is 17226239101517824
- 131248768 cubed (1312487683) is 2260922659347641330040832
-
The
square root of 131248768 is 11456.3854683753 -
The
cube root of 131248768 is 508.1965883069
Scales and comparisons
How big is 131248768?- 131,248,768 seconds is equal to 4 years, 9 weeks, 1 hour, 59 minutes, 28 seconds.
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To count from 1 to 131,248,768 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 131248768 cubic inches would be around 42.3 feet tall.
Recreational maths with 131248768
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The information we have on file for 131248768 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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