131391144
131,391,144 is an even composite number composed of five prime numbers multiplied together.
131391144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131391144:
23 × 32 × 31 × 372 × 43
(2 × 2 × 2 × 3 × 3 × 31 × 37 × 37 × 43)See below for interesting mathematical facts about the number 131391144 from the Numbermatics database.
Names of 131391144
- Cardinal: 131391144 can be written as One hundred thirty-one million, three hundred ninety-one thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.31391144 × 108
Factors of 131391144
Divisors of 131391144
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 31 36 37 43 62 72 74 86 93 111 124 129 148 172 186 222 248 258 279 296 333 344 372 387 444 516 558 666 744 774 888 1032 1116 1147 1332 1333 1369 1548 1591 2232 2294 2664 2666 2738 3096 3182 3441 3999 4107 4588 4773 5332 5476 6364 6882 7998 8214 9176 9546 10323 10664 10952 11997 12321 12728 13764 14319 15996 16428 19092 20646 23994 24642 27528 28638 31992 32856 38184 41292 42439 47988 49284 49321 57276 58867 82584 84878 95976 98568 98642 114552 117734 127317 147963 169756 176601 197284 235468 254634 295926 339512 353202 381951 394568 443889 470936 509268 529803 591852 706404 763902 887778 1018536 1059606 1183704 1412808 1527804 1775556 1824877 2119212 3055608 3551112 3649754 4238424 5474631 7299508 10949262 14599016 16423893 21898524 32847786 43797048 65695572 131391144
- Sum of all divisors σ(n): 386305920
- Sum of proper divisors (its aliquot sum) s(n): 254914776
- 131391144 is an abundant number, because the sum of its proper divisors (254914776) is greater than itself. Its abundance is 123523632
Bases of 131391144
- Binary: 1111101010011011110101010002
- Hexadecimal: 0x7D4DEA8
- Base-36: 268620
Squares and roots of 131391144
- 131391144 squared (1313911442) is 17263632721628736
- 131391144 cubed (1313911443) is 2268288452890633166313984
-
The
square root of 131391144 is 11462.5976113619 -
The
cube root of 131391144 is 508.3802823489
Scales and comparisons
How big is 131391144?- 131,391,144 seconds is equal to 4 years, 9 weeks, 1 day, 17 hours, 32 minutes, 24 seconds.
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To count from 1 to 131,391,144 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 131391144 cubic inches would be around 42.4 feet tall.
Recreational maths with 131391144
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