230724144
230,724,144 is an even composite number composed of five prime numbers multiplied together.
230724144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 230724144:
24 × 32 × 72 × 19 × 1721
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 1721)See below for interesting mathematical facts about the number 230724144 from the Numbermatics database.
Names of 230724144
- Cardinal: 230724144 can be written as Two hundred thirty million, seven hundred twenty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 2.30724144 × 108
Factors of 230724144
Divisors of 230724144
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 49 56 57 63 72 76 84 98 112 114 126 133 144 147 152 168 171 196 228 252 266 294 304 336 342 392 399 441 456 504 532 588 684 784 798 882 912 931 1008 1064 1176 1197 1368 1596 1721 1764 1862 2128 2352 2394 2736 2793 3192 3442 3528 3724 4788 5163 5586 6384 6884 7056 7448 8379 9576 10326 11172 12047 13768 14896 15489 16758 19152 20652 22344 24094 27536 30978 32699 33516 36141 41304 44688 48188 61956 65398 67032 72282 82608 84329 96376 98097 108423 123912 130796 134064 144564 168658 192752 196194 216846 228893 247824 252987 261592 289128 294291 337316 392388 433692 457786 505974 523184 578256 588582 674632 686679 758961 784776 867384 915572 1011948 1177164 1349264 1373358 1517922 1569552 1602251 1734768 1831144 2023896 2060037 2354328 2746716 3035844 3204502 3662288 4047792 4120074 4708656 4806753 5493432 6071688 6409004 8240148 9613506 10986864 12143376 12818008 14420259 16480296 19227012 25636016 28840518 32960592 38454024 57681036 76908048 115362072 230724144
- Sum of all divisors σ(n): 791121240
- Sum of proper divisors (its aliquot sum) s(n): 560397096
- 230724144 is an abundant number, because the sum of its proper divisors (560397096) is greater than itself. Its abundance is 329672952
Bases of 230724144
- Binary: 11011100000010010010001100002
- Hexadecimal: 0xDC09230
- Base-36: 3TD7W0
Squares and roots of 230724144
- 230724144 squared (2307241442) is 53233630624532736
- 230724144 cubed (2307241443) is 12282283857857500913577984
-
The
square root of 230724144 is 15189.6064465147 -
The
cube root of 230724144 is 613.3349049529
Scales and comparisons
How big is 230724144?- 230,724,144 seconds is equal to 7 years, 17 weeks, 3 days, 10 hours, 2 minutes, 24 seconds.
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To count from 1 to 230,724,144 would take you about eleven 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 230724144 cubic inches would be around 51.1 feet tall.
Recreational maths with 230724144
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The information we have on file for 230724144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 230724144, math, Factors of 230724144, curriculum, school, college, exams, university, Prime factorization of 230724144, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty million, seven hundred twenty-four thousand, one hundred forty-four.