13125168
13,125,168 is an even composite number composed of five prime numbers multiplied together.
13125168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 13125168:
24 × 32 × 7 × 29 × 449
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 449)See below for interesting mathematical facts about the number 13125168 from the Numbermatics database.
Names of 13125168
- Cardinal: 13125168 can be written as Thirteen million, one hundred twenty-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3125168 × 107
Factors of 13125168
Divisors of 13125168
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 449 464 504 522 609 696 812 898 1008 1044 1218 1347 1392 1624 1796 1827 2088 2436 2694 3143 3248 3592 3654 4041 4176 4872 5388 6286 7184 7308 8082 9429 9744 10776 12572 13021 14616 16164 18858 21552 25144 26042 28287 29232 32328 37716 39063 50288 52084 56574 64656 75432 78126 91147 104168 113148 117189 150864 156252 182294 208336 226296 234378 273441 312504 364588 452592 468756 546882 625008 729176 820323 937512 1093764 1458352 1640646 1875024 2187528 3281292 4375056 6562584 13125168
- Sum of all divisors σ(n): 43524000
- Sum of proper divisors (its aliquot sum) s(n): 30398832
- 13125168 is an abundant number, because the sum of its proper divisors (30398832) is greater than itself. Its abundance is 17273664
Bases of 13125168
- Binary: 1100100001000110001100002
- Hexadecimal: 0xC84630
- Base-36: 7TBG0
Squares and roots of 13125168
- 13125168 squared (131251682) is 172270035028224
- 13125168 cubed (131251683) is 2261073151111324741632
-
The
square root of 13125168 is 3622.8673726759 -
The
cube root of 13125168 is 235.8857054529
Scales and comparisons
How big is 13125168?- 13,125,168 seconds is equal to 21 weeks, 4 days, 21 hours, 52 minutes, 48 seconds.
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To count from 1 to 13,125,168 would take you about thirty-two weeks!
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 13125168 cubic inches would be around 19.7 feet tall.
Recreational maths with 13125168
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The information we have on file for 13125168 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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