131071200
131,071,200 is an even composite number composed of five prime numbers multiplied together.
131071200 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 131071200:
25 × 3 × 52 × 13 × 4201
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 4201)See below for interesting mathematical facts about the number 131071200 from the Numbermatics database.
Names of 131071200
- Cardinal: 131071200 can be written as One hundred thirty-one million, seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.310712 × 108
Factors of 131071200
Divisors of 131071200
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 4201 5200 6240 7800 8402 10400 12603 15600 16804 21005 25206 31200 33608 42010 50412 54613 63015 67216 84020 100824 105025 109226 126030 134432 163839 168040 201648 210050 218452 252060 273065 315075 327678 336080 403296 420100 436904 504120 546130 630150 655356 672160 819195 840200 873808 1008240 1092260 1260300 1310712 1365325 1638390 1680400 1747616 2016480 2184520 2520600 2621424 2730650 3276780 3360800 4095975 4369040 5041200 5242848 5461300 6553560 8191950 8738080 10082400 10922600 13107120 16383900 21845200 26214240 32767800 43690400 65535600 131071200
- Sum of all divisors σ(n): 459564336
- Sum of proper divisors (its aliquot sum) s(n): 328493136
- 131071200 is an abundant number, because the sum of its proper divisors (328493136) is greater than itself. Its abundance is 197421936
Bases of 131071200
- Binary: 1111100111111111100111000002
- Hexadecimal: 0x7CFFCE0
- Base-36: 261B6O
Squares and roots of 131071200
- 131071200 squared (1310712002) is 17179659469440000
- 131071200 cubed (1310712003) is 2251758582250864128000000
-
The
square root of 131071200 is 11448.6331061835 -
The
cube root of 131071200 is 507.9673031635
Scales and comparisons
How big is 131071200?- 131,071,200 seconds is equal to 4 years, 8 weeks, 5 days, 40 minutes.
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To count from 1 to 131,071,200 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 131071200 cubic inches would be around 42.3 feet tall.
Recreational maths with 131071200
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