130022144
130,022,144 is an even composite number composed of four prime numbers multiplied together.
130022144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 130022144:
28 × 7 × 372 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 37 × 37 × 53)See below for interesting mathematical facts about the number 130022144 from the Numbermatics database.
Names of 130022144
- Cardinal: 130022144 can be written as One hundred thirty million, twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.30022144 × 108
Factors of 130022144
Divisors of 130022144
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 37 53 56 64 74 106 112 128 148 212 224 256 259 296 371 424 448 518 592 742 848 896 1036 1184 1369 1484 1696 1792 1961 2072 2368 2738 2968 3392 3922 4144 4736 5476 5936 6784 7844 8288 9472 9583 10952 11872 13568 13727 15688 16576 19166 21904 23744 27454 31376 33152 38332 43808 47488 54908 62752 66304 72557 76664 87616 94976 109816 125504 145114 153328 175232 219632 251008 290228 306656 350464 439264 502016 507899 580456 613312 878528 1015798 1160912 1226624 1757056 2031596 2321824 2453248 3514112 4063192 4643648 8126384 9287296 16252768 18574592 32505536 65011072 130022144
- Sum of all divisors σ(n): 310598064
- Sum of proper divisors (its aliquot sum) s(n): 180575920
- 130022144 is an abundant number, because the sum of its proper divisors (180575920) is greater than itself. Its abundance is 50553776
Bases of 130022144
- Binary: 1111011111111111011000000002
- Hexadecimal: 0x7BFFB00
- Base-36: 25ETQ8
Squares and roots of 130022144
- 130022144 squared (1300221442) is 16905757930356736
- 130022144 cubed (1300221443) is 2198122892049985499561984
-
The
square root of 130022144 is 11402.7252882809 -
The
cube root of 130022144 is 506.6084636127
Scales and comparisons
How big is 130022144?- 130,022,144 seconds is equal to 4 years, 6 weeks, 6 days, 21 hours, 15 minutes, 44 seconds.
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To count from 1 to 130,022,144 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 130022144 cubic inches would be around 42.2 feet tall.
Recreational maths with 130022144
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