314130320
314,130,320 is an even composite number composed of five prime numbers multiplied together.
314130320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 314130320:
24 × 5 × 7 × 23 × 293
(2 × 2 × 2 × 2 × 5 × 7 × 23 × 29 × 29 × 29)See below for interesting mathematical facts about the number 314130320 from the Numbermatics database.
Names of 314130320
- Cardinal: 314130320 can be written as Three hundred fourteen million, one hundred thirty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.1413032 × 108
Factors of 314130320
Divisors of 314130320
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 28 29 35 40 46 56 58 70 80 92 112 115 116 140 145 161 184 203 230 232 280 290 322 368 406 460 464 560 580 644 667 805 812 841 920 1015 1160 1288 1334 1610 1624 1682 1840 2030 2320 2576 2668 3220 3248 3335 3364 4060 4205 4669 5336 5887 6440 6670 6728 8120 8410 9338 10672 11774 12880 13340 13456 16240 16820 18676 19343 23345 23548 24389 26680 29435 33640 37352 38686 46690 47096 48778 53360 58870 67280 74704 77372 93380 94192 96715 97556 117740 121945 135401 154744 170723 186760 193430 195112 235480 243890 270802 309488 341446 373520 386860 390224 470960 487780 541604 560947 677005 682892 773720 853615 975560 1083208 1121894 1354010 1365784 1547440 1707230 1951120 2166416 2243788 2708020 2731568 2804735 3414460 3926629 4487576 5416040 5609470 6828920 7853258 8975152 10832080 11218940 13657840 15706516 19633145 22437880 31413032 39266290 44875760 62826064 78532580 157065160 314130320
- Sum of all divisors σ(n): 902085120
- Sum of proper divisors (its aliquot sum) s(n): 587954800
- 314130320 is an abundant number, because the sum of its proper divisors (587954800) is greater than itself. Its abundance is 273824480
Bases of 314130320
- Binary: 100101011100100111111100100002
- Hexadecimal: 0x12B93F90
- Base-36: 570WI8
Squares and roots of 314130320
- 314130320 squared (3141303202) is 98677857943302400
- 314130320 cubed (3141303203) is 30997707092644124768768000
-
The
square root of 314130320 is 17723.7219567447 -
The
cube root of 314130320 is 679.7824563631
Scales and comparisons
How big is 314130320?- 314,130,320 seconds is equal to 9 years, 51 weeks, 2 days, 18 hours, 25 minutes, 20 seconds.
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To count from 1 to 314,130,320 would take you about fourteen 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 314130320 cubic inches would be around 56.6 feet tall.
Recreational maths with 314130320
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