42142464
42,142,464 is an even composite number composed of five prime numbers multiplied together.
42142464 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42142464:
28 × 33 × 7 × 13 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 67)See below for interesting mathematical facts about the number 42142464 from the Numbermatics database.
Names of 42142464
- Cardinal: 42142464 can be written as Forty-two million, one hundred forty-two thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 4.2142464 × 107
Factors of 42142464
Divisors of 42142464
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 67 72 78 84 91 96 104 108 112 117 126 128 134 144 156 168 182 189 192 201 208 216 224 234 252 256 268 273 288 312 336 351 364 378 384 402 416 432 448 468 469 504 536 546 576 603 624 672 702 728 756 768 804 819 832 864 871 896 936 938 1008 1072 1092 1152 1206 1248 1344 1404 1407 1456 1512 1608 1638 1664 1728 1742 1792 1809 1872 1876 2016 2144 2184 2304 2412 2457 2496 2613 2688 2808 2814 2912 3024 3216 3276 3328 3456 3484 3618 3744 3752 4032 4221 4288 4368 4824 4914 4992 5226 5376 5616 5628 5824 6048 6097 6432 6552 6912 6968 7236 7488 7504 7839 8064 8442 8576 8736 9648 9828 9984 10452 11232 11256 11648 12096 12194 12663 12864 13104 13936 14472 14976 15008 15678 16128 16884 17152 17472 18291 19296 19656 20904 22464 22512 23296 23517 24192 24388 25326 25728 26208 27872 28944 29952 30016 31356 33768 34944 36582 38592 39312 41808 44928 45024 47034 48384 48776 50652 51456 52416 54873 55744 57888 60032 62712 67536 69888 73164 77184 78624 83616 89856 90048 94068 97552 101304 104832 109746 111488 115776 120064 125424 135072 146328 154368 157248 164619 167232 180096 188136 195104 202608 209664 219492 222976 231552 250848 270144 292656 314496 329238 334464 360192 376272 390208 405216 438984 463104 501696 540288 585312 628992 658476 668928 752544 780416 810432 877968 1003392 1080576 1170624 1316952 1505088 1560832 1620864 1755936 2006784 2341248 2633904 3010176 3241728 3511872 4682496 5267808 6020352 7023744 10535616 14047488 21071232 42142464
- Sum of all divisors σ(n): 155671040
- Sum of proper divisors (its aliquot sum) s(n): 113528576
- 42142464 is an abundant number, because the sum of its proper divisors (113528576) is greater than itself. Its abundance is 71386112
Bases of 42142464
- Binary: 101000001100001011000000002
- Hexadecimal: 0x2830B00
- Base-36: P39C0
Squares and roots of 42142464
- 42142464 squared (421424642) is 1775987271991296
- 42142464 cubed (421424643) is 74844479674351399993344
-
The
square root of 42142464 is 6491.7227297537 -
The
cube root of 42142464 is 347.9952436925
Scales and comparisons
How big is 42142464?- 42,142,464 seconds is equal to 1 year, 17 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 42,142,464 would take you about two 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 42142464 cubic inches would be around 29 feet tall.
Recreational maths with 42142464
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