107121664
107,121,664 is an even composite number composed of three prime numbers multiplied together.
107121664 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-six divisors.
Prime factorization of 107121664:
210 × 132 × 619
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 619)See below for interesting mathematical facts about the number 107121664 from the Numbermatics database.
Names of 107121664
- Cardinal: 107121664 can be written as One hundred seven million, one hundred twenty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.07121664 × 108
Factors of 107121664
Divisors of 107121664
- Number of divisors d(n): 66
-
Complete list of divisors:
1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 619 676 832 1024 1238 1352 1664 2476 2704 3328 4952 5408 6656 8047 9904 10816 13312 16094 19808 21632 32188 39616 43264 64376 79232 86528 104611 128752 158464 173056 209222 257504 316928 418444 515008 633856 836888 1030016 1673776 2060032 3347552 4120064 6695104 8240128 13390208 26780416 53560832 107121664
- Sum of all divisors σ(n): 232252620
- Sum of proper divisors (its aliquot sum) s(n): 125130956
- 107121664 is an abundant number, because the sum of its proper divisors (125130956) is greater than itself. Its abundance is 18009292
Bases of 107121664
- Binary: 1100110001010001100000000002
- Hexadecimal: 0x6628C00
- Base-36: 1RRZLS
Squares and roots of 107121664
- 107121664 squared (1071216642) is 11475050898128896
- 107121664 cubed (1071216643) is 1229226546692261826002944
-
The
square root of 107121664 is 10349.9596134477 -
The
cube root of 107121664 is 474.9258078029
Scales and comparisons
How big is 107121664?- 107,121,664 seconds is equal to 3 years, 21 weeks, 20 hours, 1 minute, 4 seconds.
-
To count from 1 to 107,121,664 would take you about five 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 107121664 cubic inches would be around 39.6 feet tall.
Recreational maths with 107121664
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