131074720
131,074,720 is an even composite number composed of five prime numbers multiplied together.
What does the number 131074720 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
131074720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 131074720:
25 × 5 × 7 × 37 × 3163
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 37 × 3163)See below for interesting mathematical facts about the number 131074720 from the Numbermatics database.
Names of 131074720
- Cardinal: 131074720 can be written as One hundred thirty-one million, seventy-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3107472 × 108
Factors of 131074720
Divisors of 131074720
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1480 2072 2590 2960 3163 4144 5180 5920 6326 8288 10360 12652 15815 20720 22141 25304 31630 41440 44282 50608 63260 88564 101216 110705 117031 126520 177128 221410 234062 253040 354256 442820 468124 506080 585155 708512 819217 885640 936248 1170310 1638434 1771280 1872496 2340620 3276868 3542560 3744992 4096085 4681240 6553736 8192170 9362480 13107472 16384340 18724960 26214944 32768680 65537360 131074720
- Sum of all divisors σ(n): 363581568
- Sum of proper divisors (its aliquot sum) s(n): 232506848
- 131074720 is an abundant number, because the sum of its proper divisors (232506848) is greater than itself. Its abundance is 101432128
Bases of 131074720
- Binary: 1111101000000001010101000002
- Hexadecimal: 0x7D00AA0
- Base-36: 261DWG
Squares and roots of 131074720
- 131074720 squared (1310747202) is 17180582223078400
- 131074720 cubed (1310747203) is 2251940004326978818048000
-
The
square root of 131074720 is 11448.7868352939 -
The
cube root of 131074720 is 507.9718503837
Scales and comparisons
How big is 131074720?- 131,074,720 seconds is equal to 4 years, 8 weeks, 5 days, 1 hour, 38 minutes, 40 seconds.
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To count from 1 to 131,074,720 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 131074720 cubic inches would be around 42.3 feet tall.
Recreational maths with 131074720
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