131967920
131,967,920 is an even composite number composed of six prime numbers multiplied together.
131967920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 131967920:
24 × 5 × 7 × 19 × 79 × 157
(2 × 2 × 2 × 2 × 5 × 7 × 19 × 79 × 157)See below for interesting mathematical facts about the number 131967920 from the Numbermatics database.
Names of 131967920
- Cardinal: 131967920 can be written as One hundred thirty-one million, nine hundred sixty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3196792 × 108
Factors of 131967920
Divisors of 131967920
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 79 80 95 112 133 140 152 157 158 190 266 280 304 314 316 380 395 532 553 560 628 632 665 760 785 790 1064 1099 1106 1256 1264 1330 1501 1520 1570 1580 2128 2198 2212 2512 2660 2765 2983 3002 3140 3160 4396 4424 5320 5495 5530 5966 6004 6280 6320 7505 8792 8848 10507 10640 10990 11060 11932 12008 12403 12560 14915 15010 17584 20881 21014 21980 22120 23864 24016 24806 29830 30020 41762 42028 43960 44240 47728 49612 52535 59660 60040 62015 83524 84056 86821 87920 99224 104405 105070 119320 120080 124030 167048 168112 173642 198448 208810 210140 235657 238640 248060 334096 347284 417620 420280 434105 471314 496120 694568 835240 840560 868210 942628 992240 1178285 1389136 1649599 1670480 1736420 1885256 2356570 3299198 3472840 3770512 4713140 6598396 6945680 8247995 9426280 13196792 16495990 18852560 26393584 32991980 65983960 131967920
- Sum of all divisors σ(n): 376166400
- Sum of proper divisors (its aliquot sum) s(n): 244198480
- 131967920 is an abundant number, because the sum of its proper divisors (244198480) is greater than itself. Its abundance is 112230560
Bases of 131967920
- Binary: 1111101110110101011101100002
- Hexadecimal: 0x7DDABB0
- Base-36: 26KJ3K
Squares and roots of 131967920
- 131967920 squared (1319679202) is 17415531909126400
- 131967920 cubed (1319679203) is 2298291521741040025088000
-
The
square root of 131967920 is 11487.7291054411 -
The
cube root of 131967920 is 509.1230861699
Scales and comparisons
How big is 131967920?- 131,967,920 seconds is equal to 4 years, 10 weeks, 1 day, 9 hours, 45 minutes, 20 seconds.
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To count from 1 to 131,967,920 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 131967920 cubic inches would be around 42.4 feet tall.
Recreational maths with 131967920
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