131225952
131,225,952 is an even composite number composed of five prime numbers multiplied together.
131225952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 131225952:
25 × 3 × 113 × 13 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 13 × 79)See below for interesting mathematical facts about the number 131225952 from the Numbermatics database.
Names of 131225952
- Cardinal: 131225952 can be written as One hundred thirty-one million, two hundred twenty-five thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.31225952 × 108
Factors of 131225952
Divisors of 131225952
- Number of divisors d(n): 192
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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 78 79 88 96 104 121 132 143 156 158 176 208 237 242 264 286 312 316 352 363 416 429 474 484 528 572 624 632 726 858 869 948 968 1027 1056 1144 1248 1264 1331 1452 1573 1716 1738 1896 1936 2054 2288 2528 2607 2662 2904 3081 3146 3432 3476 3792 3872 3993 4108 4576 4719 5214 5324 5808 6162 6292 6864 6952 7584 7986 8216 9438 9559 10428 10648 11297 11616 12324 12584 13728 13904 15972 16432 17303 18876 19118 20856 21296 22594 24648 25168 27808 28677 31944 32864 33891 34606 37752 38236 41712 42592 45188 49296 50336 51909 57354 63888 67782 69212 75504 76472 83424 90376 98592 103818 105149 114708 124267 127776 135564 138424 151008 152944 180752 207636 210298 229416 248534 271128 276848 305888 315447 361504 372801 415272 420596 458832 497068 542256 553696 630894 745602 830544 841192 917664 994136 1084512 1261788 1366937 1491204 1661088 1682384 1988272 2523576 2733874 2982408 3364768 3976544 4100811 5047152 5467748 5964816 8201622 10094304 10935496 11929632 16403244 21870992 32806488 43741984 65612976 131225952
- Sum of all divisors σ(n): 413199360
- Sum of proper divisors (its aliquot sum) s(n): 281973408
- 131225952 is an abundant number, because the sum of its proper divisors (281973408) is greater than itself. Its abundance is 150747456
Bases of 131225952
- Binary: 1111101001001011001011000002
- Hexadecimal: 0x7D25960
- Base-36: 264MLC
Squares and roots of 131225952
- 131225952 squared (1312259522) is 17220250478306304
- 131225952 cubed (1312259523) is 2259743762694200090001408
-
The
square root of 131225952 is 11455.3896485453 -
The
cube root of 131225952 is 508.1671386709
Scales and comparisons
How big is 131225952?- 131,225,952 seconds is equal to 4 years, 8 weeks, 6 days, 19 hours, 39 minutes, 12 seconds.
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To count from 1 to 131,225,952 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 131225952 cubic inches would be around 42.3 feet tall.
Recreational maths with 131225952
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