470042720
470,042,720 is an even composite number composed of six prime numbers multiplied together.
What does the number 470042720 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
470042720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 470042720:
25 × 5 × 7 × 23 × 71 × 257
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 23 × 71 × 257)See below for interesting mathematical facts about the number 470042720 from the Numbermatics database.
Names of 470042720
- Cardinal: 470042720 can be written as Four hundred seventy million, forty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.7004272 × 108
Factors of 470042720
Divisors of 470042720
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 71 80 92 112 115 140 142 160 161 184 224 230 257 280 284 322 355 368 460 497 514 560 568 644 710 736 805 920 994 1028 1120 1136 1285 1288 1420 1610 1633 1799 1840 1988 2056 2272 2485 2570 2576 2840 3220 3266 3598 3680 3976 4112 4970 5140 5152 5680 5911 6440 6532 7196 7952 8165 8224 8995 9940 10280 11360 11431 11822 12880 13064 14392 15904 16330 17990 18247 19880 20560 22862 23644 25760 26128 28784 29555 32660 35980 36494 39760 41120 41377 45724 47288 52256 57155 57568 59110 65320 71960 72988 79520 82754 91235 91448 94576 114310 118220 127729 130640 143920 145976 165508 182470 182896 189152 206885 228620 236440 255458 261280 287840 291952 331016 364940 365792 413770 419681 457240 472880 510916 583904 638645 662032 729880 827540 839362 914480 945760 1021832 1277290 1324064 1459760 1655080 1678724 1828960 2043664 2098405 2554580 2919520 2937767 3310160 3357448 4087328 4196810 5109160 5875534 6620320 6714896 8393620 10218320 11751068 13429792 14688835 16787240 20436640 23502136 29377670 33574480 47004272 58755340 67148960 94008544 117510680 235021360 470042720
- Sum of all divisors σ(n): 1348171776
- Sum of proper divisors (its aliquot sum) s(n): 878129056
- 470042720 is an abundant number, because the sum of its proper divisors (878129056) is greater than itself. Its abundance is 408086336
Bases of 470042720
- Binary: 111000000010001001000011000002
- Hexadecimal: 0x1C044860
- Base-36: 7RUNA8
Squares and roots of 470042720
- 470042720 squared (4700427202) is 220940158624998400
- 470042720 cubed (4700427203) is 103851313117325707931648000
-
The
square root of 470042720 is 21680.4686296215 -
The
cube root of 470042720 is 777.5215655561
Scales and comparisons
How big is 470042720?- 470,042,720 seconds is equal to 14 years, 49 weeks, 1 day, 7 hours, 25 minutes, 20 seconds.
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To count from 1 to 470,042,720 would take you about twenty-two 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 470042720 cubic inches would be around 64.8 feet tall.
Recreational maths with 470042720
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