131628288
131,628,288 is an even composite number composed of four prime numbers multiplied together.
131628288 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 131628288:
28 × 3 × 11 × 15581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 15581)See below for interesting mathematical facts about the number 131628288 from the Numbermatics database.
Names of 131628288
- Cardinal: 131628288 can be written as One hundred thirty-one million, six hundred twenty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.31628288 × 108
Factors of 131628288
Divisors of 131628288
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 15581 31162 46743 62324 93486 124648 171391 186972 249296 342782 373944 498592 514173 685564 747888 997184 1028346 1371128 1495776 1994368 2056692 2742256 2991552 3988736 4113384 5484512 5983104 8226768 10969024 11966208 16453536 21938048 32907072 43876096 65814144 131628288
- Sum of all divisors σ(n): 382195296
- Sum of proper divisors (its aliquot sum) s(n): 250567008
- 131628288 is an abundant number, because the sum of its proper divisors (250567008) is greater than itself. Its abundance is 118938720
Bases of 131628288
- Binary: 1111101100001111101000000002
- Hexadecimal: 0x7D87D00
- Base-36: 26D91C
Squares and roots of 131628288
- 131628288 squared (1316282882) is 17326006201810944
- 131628288 cubed (1316282883) is 2280592534221757058383872
-
The
square root of 131628288 is 11472.9372002117 -
The
cube root of 131628288 is 508.6859520497
Scales and comparisons
How big is 131628288?- 131,628,288 seconds is equal to 4 years, 9 weeks, 4 days, 11 hours, 24 minutes, 48 seconds.
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To count from 1 to 131,628,288 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 131628288 cubic inches would be around 42.4 feet tall.
Recreational maths with 131628288
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