132315264
132,315,264 is an even composite number composed of four prime numbers multiplied together.
132315264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 132315264:
27 × 32 × 331 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 331 × 347)See below for interesting mathematical facts about the number 132315264 from the Numbermatics database.
Names of 132315264
- Cardinal: 132315264 can be written as One hundred thirty-two million, three hundred fifteen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.32315264 × 108
Factors of 132315264
Divisors of 132315264
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 331 347 384 576 662 694 993 1041 1152 1324 1388 1986 2082 2648 2776 2979 3123 3972 4164 5296 5552 5958 6246 7944 8328 10592 11104 11916 12492 15888 16656 21184 22208 23832 24984 31776 33312 42368 44416 47664 49968 63552 66624 95328 99936 114857 127104 133248 190656 199872 229714 344571 381312 399744 459428 689142 918856 1033713 1378284 1837712 2067426 2756568 3675424 4134852 5513136 7350848 8269704 11026272 14701696 16539408 22052544 33078816 44105088 66157632 132315264
- Sum of all divisors σ(n): 383001840
- Sum of proper divisors (its aliquot sum) s(n): 250686576
- 132315264 is an abundant number, because the sum of its proper divisors (250686576) is greater than itself. Its abundance is 118371312
Bases of 132315264
- Binary: 1111110001011111000100000002
- Hexadecimal: 0x7E2F880
- Base-36: 26RZ40
Squares and roots of 132315264
- 132315264 squared (1323152642) is 17507329087389696
- 132315264 cubed (1323152643) is 2316486870132846697119744
-
The
square root of 132315264 is 11502.8372152265 -
The
cube root of 132315264 is 509.5693712097
Scales and comparisons
How big is 132315264?- 132,315,264 seconds is equal to 4 years, 10 weeks, 5 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 132,315,264 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 132315264 cubic inches would be around 42.5 feet tall.
Recreational maths with 132315264
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