131467648
131,467,648 is an even composite number composed of four prime numbers multiplied together.
131467648 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 131467648:
27 × 13 × 412 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 41 × 41 × 47)See below for interesting mathematical facts about the number 131467648 from the Numbermatics database.
Names of 131467648
- Cardinal: 131467648 can be written as One hundred thirty-one million, four hundred sixty-seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.31467648 × 108
Factors of 131467648
Divisors of 131467648
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 8 13 16 26 32 41 47 52 64 82 94 104 128 164 188 208 328 376 416 533 611 656 752 832 1066 1222 1312 1504 1664 1681 1927 2132 2444 2624 3008 3362 3854 4264 4888 5248 6016 6724 7708 8528 9776 13448 15416 17056 19552 21853 25051 26896 30832 34112 39104 43706 50102 53792 61664 68224 78208 79007 87412 100204 107584 123328 158014 174824 200408 215168 246656 316028 349648 400816 632056 699296 801632 1027091 1264112 1398592 1603264 2054182 2528224 2797184 3206528 4108364 5056448 8216728 10112896 16433456 32866912 65733824 131467648
- Sum of all divisors σ(n): 295253280
- Sum of proper divisors (its aliquot sum) s(n): 163785632
- 131467648 is an abundant number, because the sum of its proper divisors (163785632) is greater than itself. Its abundance is 32317984
Bases of 131467648
- Binary: 1111101011000001001100000002
- Hexadecimal: 0x7D60980
- Base-36: 269T34
Squares and roots of 131467648
- 131467648 squared (1314676482) is 17283742470651904
- 131467648 cubed (1314676483) is 2272252971254314845601792
-
The
square root of 131467648 is 11465.9342401743 -
The
cube root of 131467648 is 508.4789332871
Scales and comparisons
How big is 131467648?- 131,467,648 seconds is equal to 4 years, 9 weeks, 2 days, 14 hours, 47 minutes, 28 seconds.
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To count from 1 to 131,467,648 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 131467648 cubic inches would be around 42.4 feet tall.
Recreational maths with 131467648
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