131836128
131,836,128 is an even composite number composed of five prime numbers multiplied together.
131836128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 131836128:
25 × 3 × 47 × 61 × 479
(2 × 2 × 2 × 2 × 2 × 3 × 47 × 61 × 479)See below for interesting mathematical facts about the number 131836128 from the Numbermatics database.
Names of 131836128
- Cardinal: 131836128 can be written as One hundred thirty-one million, eight hundred thirty-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31836128 × 108
Factors of 131836128
Divisors of 131836128
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 47 48 61 94 96 122 141 183 188 244 282 366 376 479 488 564 732 752 958 976 1128 1437 1464 1504 1916 1952 2256 2867 2874 2928 3832 4512 5734 5748 5856 7664 8601 11468 11496 15328 17202 22513 22936 22992 29219 34404 45026 45872 45984 58438 67539 68808 87657 90052 91744 116876 135078 137616 175314 180104 233752 270156 275232 350628 360208 467504 540312 701256 720416 935008 1080624 1373293 1402512 2161248 2746586 2805024 4119879 5493172 8239758 10986344 16479516 21972688 32959032 43945376 65918064 131836128
- Sum of all divisors σ(n): 359976960
- Sum of proper divisors (its aliquot sum) s(n): 228140832
- 131836128 is an abundant number, because the sum of its proper divisors (228140832) is greater than itself. Its abundance is 96304704
Bases of 131836128
- Binary: 1111101101110101000111000002
- Hexadecimal: 0x7DBA8E0
- Base-36: 26HPEO
Squares and roots of 131836128
- 131836128 squared (1318361282) is 17380764646032384
- 131836128 cubed (1318361283) is 2291412712612200069169152
-
The
square root of 131836128 is 11481.9914648985 -
The
cube root of 131836128 is 508.9535482535
Scales and comparisons
How big is 131836128?- 131,836,128 seconds is equal to 4 years, 9 weeks, 6 days, 21 hours, 8 minutes, 48 seconds.
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To count from 1 to 131,836,128 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 131836128 cubic inches would be around 42.4 feet tall.
Recreational maths with 131836128
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The information we have on file for 131836128 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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