131527968
131,527,968 is an even composite number composed of five prime numbers multiplied together.
131527968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 131527968:
25 × 3 × 112 × 132 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 13 × 67)See below for interesting mathematical facts about the number 131527968 from the Numbermatics database.
Names of 131527968
- Cardinal: 131527968 can be written as One hundred thirty-one million, five hundred twenty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31527968 × 108
Factors of 131527968
Divisors of 131527968
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 67 78 88 96 104 121 132 134 143 156 169 176 201 208 242 264 268 286 312 338 352 363 402 416 429 484 507 528 536 572 624 676 726 737 804 858 871 968 1014 1056 1072 1144 1248 1352 1452 1474 1573 1608 1716 1742 1859 1936 2028 2144 2211 2288 2613 2704 2904 2948 3146 3216 3432 3484 3718 3872 4056 4422 4576 4719 5226 5408 5577 5808 5896 6292 6432 6864 6968 7436 8107 8112 8844 9438 9581 10452 11154 11323 11616 11792 12584 13728 13936 14872 16214 16224 17688 18876 19162 20449 20904 22308 22646 23584 24321 25168 27872 28743 29744 32428 33969 35376 37752 38324 40898 41808 44616 45292 48642 50336 57486 59488 61347 64856 67938 70752 75504 76648 81796 83616 89232 90584 97284 105391 114972 122694 124553 129712 135876 151008 153296 163592 178464 181168 194568 210782 229944 245388 249106 259424 271752 306592 316173 327184 362336 373659 389136 421564 459888 490776 498212 543504 632346 654368 747318 778272 843128 919776 981552 996424 1087008 1264692 1370083 1494636 1686256 1963104 1992848 2529384 2740166 2989272 3372512 3985696 4110249 5058768 5480332 5978544 8220498 10117536 10960664 11957088 16440996 21921328 32881992 43842656 65763984 131527968
- Sum of all divisors σ(n): 417073104
- Sum of proper divisors (its aliquot sum) s(n): 285545136
- 131527968 is an abundant number, because the sum of its proper divisors (285545136) is greater than itself. Its abundance is 154017168
Bases of 131527968
- Binary: 1111101011011110101001000002
- Hexadecimal: 0x7D6F520
- Base-36: 26B3MO
Squares and roots of 131527968
- 131527968 squared (1315279682) is 17299606366209024
- 131527968 cubed (1315279683) is 2275382072547336789983232
-
The
square root of 131527968 is 11468.5643390967 -
The
cube root of 131527968 is 508.5566881825
Scales and comparisons
How big is 131527968?- 131,527,968 seconds is equal to 4 years, 9 weeks, 3 days, 7 hours, 32 minutes, 48 seconds.
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To count from 1 to 131,527,968 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 131527968 cubic inches would be around 42.4 feet tall.
Recreational maths with 131527968
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