42381216
42,381,216 is an even composite number composed of five prime numbers multiplied together.
42381216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42381216:
25 × 32 × 31 × 47 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 47 × 101)See below for interesting mathematical facts about the number 42381216 from the Numbermatics database.
Names of 42381216
- Cardinal: 42381216 can be written as Forty-two million, three hundred eighty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.2381216 × 107
Factors of 42381216
Divisors of 42381216
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 47 48 62 72 93 94 96 101 124 141 144 186 188 202 248 279 282 288 303 372 376 404 423 496 558 564 606 744 752 808 846 909 992 1116 1128 1212 1457 1488 1504 1616 1692 1818 2232 2256 2424 2914 2976 3131 3232 3384 3636 4371 4464 4512 4747 4848 5828 6262 6768 7272 8742 8928 9393 9494 9696 11656 12524 13113 13536 14241 14544 17484 18786 18988 23312 25048 26226 28179 28482 29088 34968 37572 37976 42723 46624 50096 52452 56358 56964 69936 75144 75952 85446 100192 104904 112716 113928 139872 147157 150288 151904 170892 209808 225432 227856 294314 300576 341784 419616 441471 450864 455712 588628 683568 882942 901728 1177256 1324413 1367136 1765884 2354512 2648826 3531768 4709024 5297652 7063536 10595304 14127072 21190608 42381216
- Sum of all divisors σ(n): 128314368
- Sum of proper divisors (its aliquot sum) s(n): 85933152
- 42381216 is an abundant number, because the sum of its proper divisors (85933152) is greater than itself. Its abundance is 43551936
Bases of 42381216
- Binary: 101000011010101111101000002
- Hexadecimal: 0x286AFA0
- Base-36: P8DK0
Squares and roots of 42381216
- 42381216 squared (423812162) is 1796167469638656
- 42381216 cubed (423812163) is 76123761502929321885696
-
The
square root of 42381216 is 6510.0857137215 -
The
cube root of 42381216 is 348.6511786913
Scales and comparisons
How big is 42381216?- 42,381,216 seconds is equal to 1 year, 18 weeks, 12 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,381,216 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 42381216 cubic inches would be around 29.1 feet tall.
Recreational maths with 42381216
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The information we have on file for 42381216 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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