130987168
130,987,168 is an even composite number composed of four prime numbers multiplied together.
What does the number 130987168 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.
130987168 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 130987168:
25 × 132 × 53 × 457
(2 × 2 × 2 × 2 × 2 × 13 × 13 × 53 × 457)See below for interesting mathematical facts about the number 130987168 from the Numbermatics database.
Names of 130987168
- Cardinal: 130987168 can be written as One hundred thirty million, nine hundred eighty-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.30987168 × 108
Factors of 130987168
Divisors of 130987168
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 8 13 16 26 32 52 53 104 106 169 208 212 338 416 424 457 676 689 848 914 1352 1378 1696 1828 2704 2756 3656 5408 5512 5941 7312 8957 11024 11882 14624 17914 22048 23764 24221 35828 47528 48442 71656 77233 95056 96884 143312 154466 190112 193768 286624 308932 314873 387536 617864 629746 775072 1235728 1259492 2471456 2518984 4093349 5037968 8186698 10075936 16373396 32746792 65493584 130987168
- Sum of all divisors σ(n): 285135228
- Sum of proper divisors (its aliquot sum) s(n): 154148060
- 130987168 is an abundant number, because the sum of its proper divisors (154148060) is greater than itself. Its abundance is 23160892
Bases of 130987168
- Binary: 1111100111010110100101000002
- Hexadecimal: 0x7CEB4A0
- Base-36: 25ZICG
Squares and roots of 130987168
- 130987168 squared (1309871682) is 17157638180660224
- 130987168 cubed (1309871683) is 2247430434853355112005632
-
The
square root of 130987168 is 11444.9625600087 -
The
cube root of 130987168 is 507.8587244323
Scales and comparisons
How big is 130987168?- 130,987,168 seconds is equal to 4 years, 8 weeks, 4 days, 1 hour, 19 minutes, 28 seconds.
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To count from 1 to 130,987,168 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 130987168 cubic inches would be around 42.3 feet tall.
Recreational maths with 130987168
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