131350968
131,350,968 is an even composite number composed of five prime numbers multiplied together.
131350968 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 131350968:
23 × 32 × 72 × 31 × 1201
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 31 × 1201)See below for interesting mathematical facts about the number 131350968 from the Numbermatics database.
Names of 131350968
- Cardinal: 131350968 can be written as One hundred thirty-one million, three hundred fifty thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31350968 × 108
Factors of 131350968
Divisors of 131350968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1201 1302 1519 1736 1764 1953 2232 2402 2604 3038 3528 3603 3906 4557 4804 5208 6076 7206 7812 8407 9114 9608 10809 12152 13671 14412 15624 16814 18228 21618 25221 27342 28824 33628 36456 37231 43236 50442 54684 58849 67256 74462 75663 86472 100884 109368 111693 117698 148924 151326 176547 201768 223386 235396 260617 297848 302652 335079 353094 446772 470792 521234 529641 605304 670158 706188 781851 893544 1042468 1059282 1340316 1412376 1563702 1824319 2084936 2118564 2345553 2680632 3127404 3648638 4237128 4691106 5472957 6254808 7297276 9382212 10945914 14594552 16418871 18764424 21891828 32837742 43783656 65675484 131350968
- Sum of all divisors σ(n): 427527360
- Sum of proper divisors (its aliquot sum) s(n): 296176392
- 131350968 is an abundant number, because the sum of its proper divisors (296176392) is greater than itself. Its abundance is 164825424
Bases of 131350968
- Binary: 1111101010001000001101110002
- Hexadecimal: 0x7D441B8
- Base-36: 267B20
Squares and roots of 131350968
- 131350968 squared (1313509682) is 17253076794537024
- 131350968 cubed (1313509683) is 2266208337940775214239232
-
The
square root of 131350968 is 11460.8449950255 -
The
cube root of 131350968 is 508.3284605703
Scales and comparisons
How big is 131350968?- 131,350,968 seconds is equal to 4 years, 9 weeks, 1 day, 6 hours, 22 minutes, 48 seconds.
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To count from 1 to 131,350,968 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 131350968 cubic inches would be around 42.4 feet tall.
Recreational maths with 131350968
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