131248320
131,248,320 is an even composite number composed of five prime numbers multiplied together.
131248320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 131248320:
26 × 3 × 5 × 7 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19531)See below for interesting mathematical facts about the number 131248320 from the Numbermatics database.
Names of 131248320
- Cardinal: 131248320 can be written as One hundred thirty-one million, two hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3124832 × 108
Factors of 131248320
Divisors of 131248320
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 19531 39062 58593 78124 97655 117186 136717 156248 195310 234372 273434 292965 312496 390620 410151 468744 546868 585930 624992 683585 781240 820302 937488 1093736 1171860 1249984 1367170 1562480 1640604 1874976 2050755 2187472 2343720 2734340 3124960 3281208 3749952 4101510 4374944 4687440 5468680 6249920 6562416 8203020 8749888 9374880 10937360 13124832 16406040 18749760 21874720 26249664 32812080 43749440 65624160 131248320
- Sum of all divisors σ(n): 476268288
- Sum of proper divisors (its aliquot sum) s(n): 345019968
- 131248320 is an abundant number, because the sum of its proper divisors (345019968) is greater than itself. Its abundance is 213771648
Bases of 131248320
- Binary: 1111101001010110000110000002
- Hexadecimal: 0x7D2B0C0
- Base-36: 2653UO
Squares and roots of 131248320
- 131248320 squared (1312483202) is 17226121502822400
- 131248320 cubed (1312483203) is 2260899507361315258368000
-
The
square root of 131248320 is 11456.3659159439 -
The
cube root of 131248320 is 508.1960100859
Scales and comparisons
How big is 131248320?- 131,248,320 seconds is equal to 4 years, 9 weeks, 1 hour, 52 minutes.
-
To count from 1 to 131,248,320 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 131248320 cubic inches would be around 42.3 feet tall.
Recreational maths with 131248320
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