131314820
131,314,820 is an even composite number composed of six prime numbers multiplied together.
131314820 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 131314820:
22 × 5 × 7 × 13 × 23 × 3137
(2 × 2 × 5 × 7 × 13 × 23 × 3137)See below for interesting mathematical facts about the number 131314820 from the Numbermatics database.
Names of 131314820
- Cardinal: 131314820 can be written as One hundred thirty-one million, three hundred fourteen thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.3131482 × 108
Factors of 131314820
Divisors of 131314820
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3137 3220 4186 5980 6274 8372 10465 12548 15685 20930 21959 31370 40781 41860 43918 62740 72151 81562 87836 109795 144302 163124 203905 219590 285467 288604 360755 407810 439180 505057 570934 721510 815620 937963 1010114 1141868 1427335 1443020 1875926 2020228 2525285 2854670 3751852 4689815 5050570 5709340 6565741 9379630 10101140 13131482 18759260 26262964 32828705 65657410 131314820
- Sum of all divisors σ(n): 354267648
- Sum of proper divisors (its aliquot sum) s(n): 222952828
- 131314820 is an abundant number, because the sum of its proper divisors (222952828) is greater than itself. Its abundance is 91638008
Bases of 131314820
- Binary: 1111101001110110100100001002
- Hexadecimal: 0x7D3B484
- Base-36: 266J5W
Squares and roots of 131314820
- 131314820 squared (1313148202) is 17243581951632400
- 131314820 cubed (1313148203) is 2264337860133857312168000
-
The
square root of 131314820 is 11459.2678649207 -
The
cube root of 131314820 is 508.2818253521
Scales and comparisons
How big is 131314820?- 131,314,820 seconds is equal to 4 years, 9 weeks, 20 hours, 20 minutes, 20 seconds.
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To count from 1 to 131,314,820 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 131314820 cubic inches would be around 42.4 feet tall.
Recreational maths with 131314820
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