242713296
242,713,296 is an even composite number composed of six prime numbers multiplied together.
242713296 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 242713296:
24 × 32 × 7 × 192 × 23 × 29
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 19 × 23 × 29)See below for interesting mathematical facts about the number 242713296 from the Numbermatics database.
Names of 242713296
- Cardinal: 242713296 can be written as Two hundred forty-two million, seven hundred thirteen thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 2.42713296 × 108
Factors of 242713296
Divisors of 242713296
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 23 24 28 29 36 38 42 46 48 56 57 58 63 69 72 76 84 87 92 112 114 116 126 133 138 144 152 161 168 171 174 184 203 207 228 232 252 261 266 276 304 322 336 342 348 361 368 399 406 414 437 456 464 483 504 522 532 551 552 609 644 667 684 696 722 798 812 828 874 912 966 1008 1044 1064 1083 1102 1104 1197 1218 1288 1311 1334 1368 1392 1444 1449 1596 1624 1653 1656 1748 1827 1932 2001 2088 2128 2166 2204 2394 2436 2527 2576 2622 2668 2736 2888 2898 3059 3192 3248 3249 3306 3312 3496 3654 3857 3864 3933 4002 4176 4332 4408 4669 4788 4872 4959 5054 5244 5336 5776 5796 6003 6118 6384 6498 6612 6992 7308 7581 7714 7728 7866 8004 8303 8664 8816 9177 9338 9576 9744 9918 10108 10469 10488 10672 11571 11592 12006 12236 12673 12996 13224 14007 14616 15162 15428 15732 16008 16606 17328 18354 18676 19152 19836 20216 20938 20976 22743 23142 23184 24012 24472 24909 25346 25992 26448 27531 28014 29232 30324 30856 31407 31464 32016 33212 34713 36708 37352 38019 39672 40432 41876 42021 45486 46284 48024 48944 49818 50692 51984 55062 56028 58121 60648 61712 62814 62928 66424 69426 73283 73416 74704 74727 76038 79344 83752 84042 88711 90972 92568 94221 96048 99636 101384 110124 112056 114057 116242 121296 125628 132848 138852 146566 146832 149454 152076 167504 168084 174363 177422 181944 185136 188442 199272 202768 219849 220248 224112 228114 232484 240787 251256 266133 277704 293132 298908 304152 336168 348726 354844 363888 376884 398544 439698 440496 456228 464968 481574 502512 523089 532266 555408 586264 597816 608304 659547 672336 697452 709688 722361 753768 798399 879396 912456 929936 963148 1046178 1064532 1172528 1195632 1319094 1394904 1419376 1444722 1507536 1596798 1685509 1758792 1824912 1926296 2092356 2129064 2167083 2638188 2789808 2889444 3193596 3371018 3517584 3852592 4184712 4258128 4334166 5056527 5276376 5778888 6387192 6742036 8369424 8668332 10113054 10552752 11557776 12774384 13484072 15169581 17336664 20226108 26968144 30339162 34673328 40452216 60678324 80904432 121356648 242713296
- Sum of all divisors σ(n): 884407680
- Sum of proper divisors (its aliquot sum) s(n): 641694384
- 242713296 is an abundant number, because the sum of its proper divisors (641694384) is greater than itself. Its abundance is 398981088
Bases of 242713296
- Binary: 11100111011110000010110100002
- Hexadecimal: 0xE7782D0
- Base-36: 40I6S0
Squares and roots of 242713296
- 242713296 squared (2427132962) is 58909744055183616
- 242713296 cubed (2427132963) is 14298178146150021324558336
-
The
square root of 242713296 is 15579.2585189411 -
The
cube root of 242713296 is 623.7796312579
Scales and comparisons
How big is 242713296?- 242,713,296 seconds is equal to 7 years, 37 weeks, 2 days, 4 hours, 21 minutes, 36 seconds.
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To count from 1 to 242,713,296 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 242713296 cubic inches would be around 52 feet tall.
Recreational maths with 242713296
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