130909968
130,909,968 is an even composite number composed of four prime numbers multiplied together.
130909968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety divisors.
Prime factorization of 130909968:
24 × 32 × 72 × 18553
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 18553)See below for interesting mathematical facts about the number 130909968 from the Numbermatics database.
Names of 130909968
- Cardinal: 130909968 can be written as One hundred thirty million, nine hundred nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.30909968 × 108
Factors of 130909968
Divisors of 130909968
- Number of divisors d(n): 90
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 18553 37106 55659 74212 111318 129871 148424 166977 222636 259742 296848 333954 389613 445272 519484 667908 779226 890544 909097 1038968 1168839 1335816 1558452 1818194 2077936 2337678 2671632 2727291 3116904 3636388 4675356 5454582 6233808 7272776 8181873 9350712 10909164 14545552 16363746 18701424 21818328 32727492 43636656 65454984 130909968
- Sum of all divisors σ(n): 426203934
- Sum of proper divisors (its aliquot sum) s(n): 295293966
- 130909968 is an abundant number, because the sum of its proper divisors (295293966) is greater than itself. Its abundance is 164383998
Bases of 130909968
- Binary: 1111100110110000111000100002
- Hexadecimal: 0x7CD8710
- Base-36: 25XUS0
Squares and roots of 130909968
- 130909968 squared (1309099682) is 17137419721761024
- 130909968 cubed (1309099683) is 2243459067378304555487232
-
The
square root of 130909968 is 11441.5894000791 -
The
cube root of 130909968 is 507.7589324727
Scales and comparisons
How big is 130909968?- 130,909,968 seconds is equal to 4 years, 8 weeks, 3 days, 3 hours, 52 minutes, 48 seconds.
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To count from 1 to 130,909,968 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 130909968 cubic inches would be around 42.3 feet tall.
Recreational maths with 130909968
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