45463968
45,463,968 is an even composite number composed of five prime numbers multiplied together.
45463968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 45463968:
25 × 32 × 11 × 113 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 113 × 127)See below for interesting mathematical facts about the number 45463968 from the Numbermatics database.
Names of 45463968
- Cardinal: 45463968 can be written as Forty-five million, four hundred sixty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.5463968 × 107
Factors of 45463968
Divisors of 45463968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 113 127 132 144 176 198 226 254 264 288 339 352 381 396 452 508 528 678 762 792 904 1016 1017 1056 1143 1243 1356 1397 1524 1584 1808 2032 2034 2286 2486 2712 2794 3048 3168 3616 3729 4064 4068 4191 4572 4972 5424 5588 6096 7458 8136 8382 9144 9944 10848 11176 11187 12192 12573 14351 14916 16272 16764 18288 19888 22352 22374 25146 28702 29832 32544 33528 36576 39776 43053 44704 44748 50292 57404 59664 67056 86106 89496 100584 114808 119328 129159 134112 157861 172212 178992 201168 229616 258318 315722 344424 357984 402336 459232 473583 516636 631444 688848 947166 1033272 1262888 1377696 1420749 1894332 2066544 2525776 2841498 3788664 4133088 5051552 5682996 7577328 11365992 15154656 22731984 45463968
- Sum of all divisors σ(n): 143410176
- Sum of proper divisors (its aliquot sum) s(n): 97946208
- 45463968 is an abundant number, because the sum of its proper divisors (97946208) is greater than itself. Its abundance is 52482240
Bases of 45463968
- Binary: 101011010110111001101000002
- Hexadecimal: 0x2B5B9A0
- Base-36: R2G80
Squares and roots of 45463968
- 45463968 squared (454639682) is 2066972386305024
- 45463968 cubed (454639683) is 93972766427855249375232
-
The
square root of 45463968 is 6742.6973830953 -
The
cube root of 45463968 is 356.9075861825
Scales and comparisons
How big is 45463968?- 45,463,968 seconds is equal to 1 year, 23 weeks, 1 day, 4 hours, 52 minutes, 48 seconds.
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To count from 1 to 45,463,968 would take you about two 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 45463968 cubic inches would be around 29.7 feet tall.
Recreational maths with 45463968
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