230418720
230,418,720 is an even composite number composed of five prime numbers multiplied together.
230418720 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 230418720:
25 × 32 × 5 × 7 × 22859
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 22859)See below for interesting mathematical facts about the number 230418720 from the Numbermatics database.
Names of 230418720
- Cardinal: 230418720 can be written as Two hundred thirty million, four hundred eighteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.3041872 × 108
Factors of 230418720
Divisors of 230418720
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 22859 45718 68577 91436 114295 137154 160013 182872 205731 228590 274308 320026 342885 365744 411462 457180 480039 548616 640052 685770 731488 800065 822924 914360 960078 1028655 1097232 1280104 1371540 1440117 1600130 1645848 1828720 1920156 2057310 2194464 2400195 2560208 2743080 2880234 3200260 3291696 3657440 3840312 4114620 4800390 5120416 5486160 5760468 6400520 6583392 7200585 7680624 8229240 9600780 10972320 11520936 12801040 14401170 15361248 16458480 19201560 23041872 25602080 28802340 32916960 38403120 46083744 57604680 76806240 115209360 230418720
- Sum of all divisors σ(n): 898672320
- Sum of proper divisors (its aliquot sum) s(n): 668253600
- 230418720 is an abundant number, because the sum of its proper divisors (668253600) is greater than itself. Its abundance is 437834880
Bases of 230418720
- Binary: 11011011101111101001001000002
- Hexadecimal: 0xDBBE920
- Base-36: 3T6O80
Squares and roots of 230418720
- 230418720 squared (2304187202) is 53092786526438400
- 230418720 cubed (2304187203) is 12233571912655182286848000
-
The
square root of 230418720 is 15179.5494004269 -
The
cube root of 230418720 is 613.0641488363
Scales and comparisons
How big is 230418720?- 230,418,720 seconds is equal to 7 years, 16 weeks, 6 days, 21 hours, 12 minutes.
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To count from 1 to 230,418,720 would take you about ten 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 230418720 cubic inches would be around 51.1 feet tall.
Recreational maths with 230418720
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