242131584
242,131,584 is an even composite number composed of five prime numbers multiplied together.
What does the number 242131584 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 128 divisors.
242131584 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 242131584:
27 × 3 × 71 × 83 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 71 × 83 × 107)See below for interesting mathematical facts about the number 242131584 from the Numbermatics database.
Names of 242131584
- Cardinal: 242131584 can be written as Two hundred forty-two million, one hundred thirty-one thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 2.42131584 × 108
Factors of 242131584
Divisors of 242131584
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 71 83 96 107 128 142 166 192 213 214 249 284 321 332 384 426 428 498 568 642 664 852 856 996 1136 1284 1328 1704 1712 1992 2272 2568 2656 3408 3424 3984 4544 5136 5312 5893 6816 6848 7597 7968 8881 9088 10272 10624 11786 13632 13696 15194 15936 17679 17762 20544 22791 23572 26643 27264 30388 31872 35358 35524 41088 45582 47144 53286 60776 70716 71048 91164 94288 106572 121552 141432 142096 182328 188576 213144 243104 282864 284192 364656 377152 426288 486208 565728 568384 630551 729312 754304 852576 972416 1131456 1136768 1261102 1458624 1705152 1891653 2262912 2522204 2917248 3410304 3783306 5044408 7566612 10088816 15133224 20177632 30266448 40355264 60532896 80710528 121065792 242131584
- Sum of all divisors σ(n): 666247680
- Sum of proper divisors (its aliquot sum) s(n): 424116096
- 242131584 is an abundant number, because the sum of its proper divisors (424116096) is greater than itself. Its abundance is 181984512
Bases of 242131584
- Binary: 11100110111010100010100000002
- Hexadecimal: 0xE6EA280
- Base-36: 405PXC
Squares and roots of 242131584
- 242131584 squared (2421315842) is 58627703970349056
- 242131584 cubed (2421315843) is 14195618828623705962184704
-
The
square root of 242131584 is 15560.5778812999 -
The
cube root of 242131584 is 623.2808941621
Scales and comparisons
How big is 242131584?- 242,131,584 seconds is equal to 7 years, 36 weeks, 2 days, 10 hours, 46 minutes, 24 seconds.
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To count from 1 to 242,131,584 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 242131584 cubic inches would be around 51.9 feet tall.
Recreational maths with 242131584
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The information we have on file for 242131584 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!
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