131237120
131,237,120 is an even composite number composed of five prime numbers multiplied together.
131237120 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 131237120:
28 × 5 × 7 × 97 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 97 × 151)See below for interesting mathematical facts about the number 131237120 from the Numbermatics database.
Names of 131237120
- Cardinal: 131237120 can be written as One hundred thirty-one million, two hundred thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3123712 × 108
Factors of 131237120
Divisors of 131237120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 128 140 151 160 194 224 256 280 302 320 388 448 485 560 604 640 679 755 776 896 970 1057 1120 1208 1280 1358 1510 1552 1792 1940 2114 2240 2416 2716 3020 3104 3395 3880 4228 4480 4832 5285 5432 6040 6208 6790 7760 8456 8960 9664 10570 10864 12080 12416 13580 14647 15520 16912 19328 21140 21728 24160 24832 27160 29294 31040 33824 38656 42280 43456 48320 54320 58588 62080 67648 73235 84560 86912 96640 102529 108640 117176 124160 135296 146470 169120 173824 193280 205058 217280 234352 270592 292940 338240 410116 434560 468704 512645 585880 676480 820232 869120 937408 1025290 1171760 1352960 1640464 1874816 2050580 2343520 3280928 3749632 4101160 4687040 6561856 8202320 9374080 13123712 16404640 18748160 26247424 32809280 65618560 131237120
- Sum of all divisors σ(n): 365369088
- Sum of proper divisors (its aliquot sum) s(n): 234131968
- 131237120 is an abundant number, because the sum of its proper divisors (234131968) is greater than itself. Its abundance is 102894848
Bases of 131237120
- Binary: 1111101001010000101000000002
- Hexadecimal: 0x7D28500
- Base-36: 264V7K
Squares and roots of 131237120
- 131237120 squared (1312371202) is 17223181665894400
- 131237120 cubed (1312371203) is 2260320759068783280128000
-
The
square root of 131237120 is 11455.8770943127 -
The
cube root of 131237120 is 508.1815541365
Scales and comparisons
How big is 131237120?- 131,237,120 seconds is equal to 4 years, 8 weeks, 6 days, 22 hours, 45 minutes, 20 seconds.
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To count from 1 to 131,237,120 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 131237120 cubic inches would be around 42.3 feet tall.
Recreational maths with 131237120
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