242319168
242,319,168 is an even composite number composed of six prime numbers multiplied together.
242319168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 242319168:
26 × 33 × 7 × 13 × 23 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 23 × 67)See below for interesting mathematical facts about the number 242319168 from the Numbermatics database.
Names of 242319168
- Cardinal: 242319168 can be written as Two hundred forty-two million, three hundred nineteen thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 2.42319168 × 108
Factors of 242319168
Divisors of 242319168
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 32 36 39 42 46 48 52 54 56 63 64 67 69 72 78 84 91 92 96 104 108 112 117 126 134 138 144 156 161 168 182 184 189 192 201 207 208 216 224 234 252 268 273 276 288 299 312 322 336 351 364 368 378 402 414 416 432 448 468 469 483 504 536 546 552 576 598 603 621 624 644 672 702 728 736 756 804 819 828 832 864 871 897 936 938 966 1008 1072 1092 1104 1196 1206 1242 1248 1288 1344 1404 1407 1449 1456 1472 1512 1541 1608 1638 1656 1728 1742 1794 1809 1872 1876 1932 2016 2093 2144 2184 2208 2392 2412 2457 2484 2496 2576 2613 2691 2808 2814 2898 2912 3024 3082 3216 3276 3312 3484 3588 3618 3744 3752 3864 4032 4186 4221 4288 4347 4368 4416 4623 4784 4824 4914 4968 5152 5226 5382 5616 5628 5796 5824 6048 6097 6164 6279 6432 6552 6624 6968 7176 7236 7488 7504 7728 7839 8073 8372 8442 8694 8736 9246 9568 9648 9828 9936 10304 10452 10764 10787 11232 11256 11592 12096 12194 12328 12558 12663 12864 13104 13248 13869 13936 14352 14472 15008 15456 15678 16146 16744 16884 17388 17472 18291 18492 18837 19136 19296 19656 19872 20033 20904 21528 21574 22464 22512 23184 23517 24388 24656 25116 25326 26208 27738 27872 28704 28944 30016 30912 31356 32292 32361 33488 33768 34776 36582 36984 37674 38592 39312 39744 40066 41607 41808 43056 43148 45024 46368 47034 48776 49312 50232 50652 52416 54873 55476 55744 56511 57408 57888 60099 62712 64584 64722 66976 67536 69552 73164 73968 75348 78624 80132 83214 83616 86112 86296 90048 92736 94068 97083 97552 98624 100464 101304 109746 110952 113022 115776 120198 125424 129168 129444 133952 135072 139104 140231 146328 147936 150696 157248 160264 164619 166428 167232 172224 172592 180297 188136 194166 195104 200928 202608 219492 221904 226044 240396 250848 258336 258888 270144 278208 280462 291249 292656 295872 301392 320528 329238 332856 345184 360594 376272 388332 390208 401856 405216 420693 438984 443808 452088 480792 501696 516672 517776 540891 560924 582498 585312 602784 641056 658476 665712 690368 721188 752544 776664 810432 841386 877968 887616 904176 961584 1035552 1081782 1121848 1164996 1170624 1205568 1262079 1282112 1316952 1331424 1442376 1505088 1553328 1682772 1755936 1808352 1923168 2071104 2163564 2243696 2329992 2524158 2633904 2662848 2884752 3106656 3365544 3511872 3616704 3786237 3846336 4327128 4487392 4659984 5048316 5267808 5769504 6213312 6731088 7572474 8654256 8974784 9319968 10096632 10535616 11539008 13462176 15144948 17308512 18639936 20193264 26924352 30289896 34617024 40386528 60579792 80773056 121159584 242319168
- Sum of all divisors σ(n): 928542720
- Sum of proper divisors (its aliquot sum) s(n): 686223552
- 242319168 is an abundant number, because the sum of its proper divisors (686223552) is greater than itself. Its abundance is 443904384
Bases of 242319168
- Binary: 11100111000101111111010000002
- Hexadecimal: 0xE717F40
- Base-36: 409QO0
Squares and roots of 242319168
- 242319168 squared (2423191682) is 58718579180212224
- 242319168 cubed (2423191683) is 14228637253091148183109632
-
The
square root of 242319168 is 15566.6042539791 -
The
cube root of 242319168 is 623.4418085179
Scales and comparisons
How big is 242319168?- 242,319,168 seconds is equal to 7 years, 36 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
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To count from 1 to 242,319,168 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 242319168 cubic inches would be around 52 feet tall.
Recreational maths with 242319168
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