213742368
213,742,368 is an even composite number composed of five prime numbers multiplied together.
213742368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 213742368:
25 × 33 × 7 × 59 × 599
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 59 × 599)See below for interesting mathematical facts about the number 213742368 from the Numbermatics database.
Names of 213742368
- Cardinal: 213742368 can be written as Two hundred thirteen million, seven hundred forty-two thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 2.13742368 × 108
Factors of 213742368
Divisors of 213742368
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 59 63 72 84 96 108 112 118 126 144 168 177 189 216 224 236 252 288 336 354 378 413 432 472 504 531 599 672 708 756 826 864 944 1008 1062 1198 1239 1416 1512 1593 1652 1797 1888 2016 2124 2396 2478 2832 3024 3186 3304 3594 3717 4193 4248 4792 4956 5391 5664 6048 6372 6608 7188 7434 8386 8496 9584 9912 10782 11151 12579 12744 13216 14376 14868 16173 16772 16992 19168 19824 21564 22302 25158 25488 28752 29736 32346 33544 35341 37737 39648 43128 44604 50316 50976 57504 59472 64692 67088 70682 75474 86256 89208 100632 106023 113211 118944 129384 134176 141364 150948 172512 178416 201264 212046 226422 247387 258768 282728 301896 318069 356832 402528 424092 452844 494774 517536 565456 603792 636138 742161 848184 905688 954207 989548 1130912 1207584 1272276 1484322 1696368 1811376 1908414 1979096 2226483 2544552 2968644 3392736 3622752 3816828 3958192 4452966 5089104 5937288 6679449 7633656 7916384 8905932 10178208 11874576 13358898 15267312 17811864 23749152 26717796 30534624 35623728 53435592 71247456 106871184 213742368
- Sum of all divisors σ(n): 725760000
- Sum of proper divisors (its aliquot sum) s(n): 512017632
- 213742368 is an abundant number, because the sum of its proper divisors (512017632) is greater than itself. Its abundance is 298275264
Bases of 213742368
- Binary: 11001011110101110011001000002
- Hexadecimal: 0xCBD7320
- Base-36: 3J98O0
Squares and roots of 213742368
- 213742368 squared (2137423682) is 45685799878247424
- 213742368 cubed (2137423683) is 9764991049950716095660032
-
The
square root of 213742368 is 14619.9305059905 -
The
cube root of 213742368 is 597.9022744597
Scales and comparisons
How big is 213742368?- 213,742,368 seconds is equal to 6 years, 41 weeks, 2 days, 20 hours, 52 minutes, 48 seconds.
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To count from 1 to 213,742,368 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 213742368 cubic inches would be around 49.8 feet tall.
Recreational maths with 213742368
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The information we have on file for 213742368 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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