131392128
131,392,128 is an even composite number composed of four prime numbers multiplied together.
131392128 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 131392128:
27 × 3 × 72 × 6983
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 6983)See below for interesting mathematical facts about the number 131392128 from the Numbermatics database.
Names of 131392128
- Cardinal: 131392128 can be written as One hundred thirty-one million, three hundred ninety-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31392128 × 108
Factors of 131392128
Divisors of 131392128
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 6983 9408 13966 18816 20949 27932 41898 48881 55864 83796 97762 111728 146643 167592 195524 223456 293286 335184 342167 391048 446912 586572 670368 684334 782096 893824 1026501 1173144 1340736 1368668 1564192 2053002 2346288 2681472 2737336 3128384 4106004 4692576 5474672 6256768 8212008 9385152 10949344 16424016 18770304 21898688 32848032 43797376 65696064 131392128
- Sum of all divisors σ(n): 406049760
- Sum of proper divisors (its aliquot sum) s(n): 274657632
- 131392128 is an abundant number, because the sum of its proper divisors (274657632) is greater than itself. Its abundance is 143265504
Bases of 131392128
- Binary: 1111101010011100010100000002
- Hexadecimal: 0x7D4E280
- Base-36: 2686TC
Squares and roots of 131392128
- 131392128 squared (1313921282) is 17263891300368384
- 131392128 cubed (1313921283) is 2268339415516089157681152
-
The
square root of 131392128 is 11462.6405334897 -
The
cube root of 131392128 is 508.3815514475
Scales and comparisons
How big is 131392128?- 131,392,128 seconds is equal to 4 years, 9 weeks, 1 day, 17 hours, 48 minutes, 48 seconds.
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To count from 1 to 131,392,128 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 131392128 cubic inches would be around 42.4 feet tall.
Recreational maths with 131392128
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