42812120
42,812,120 is an even composite number composed of six prime numbers multiplied together.
42812120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 42812120:
23 × 5 × 13 × 17 × 29 × 167
(2 × 2 × 2 × 5 × 13 × 17 × 29 × 167)See below for interesting mathematical facts about the number 42812120 from the Numbermatics database.
Names of 42812120
- Cardinal: 42812120 can be written as Forty-two million, eight hundred twelve thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.281212 × 107
Factors of 42812120
Divisors of 42812120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 8 10 13 17 20 26 29 34 40 52 58 65 68 85 104 116 130 136 145 167 170 221 232 260 290 334 340 377 442 493 520 580 668 680 754 835 884 986 1105 1160 1336 1508 1670 1768 1885 1972 2171 2210 2465 2839 3016 3340 3770 3944 4342 4420 4843 4930 5678 6409 6680 7540 8684 8840 9686 9860 10855 11356 12818 14195 15080 17368 19372 19720 21710 22712 24215 25636 28390 32045 36907 38744 43420 48430 51272 56780 62959 64090 73814 82331 86840 96860 113560 125918 128180 147628 164662 184535 193720 251836 256360 295256 314795 329324 369070 411655 503672 629590 658648 738140 823310 1070303 1259180 1476280 1646620 2140606 2518360 3293240 4281212 5351515 8562424 10703030 21406060 42812120
- Sum of all divisors σ(n): 114307200
- Sum of proper divisors (its aliquot sum) s(n): 71495080
- 42812120 is an abundant number, because the sum of its proper divisors (71495080) is greater than itself. Its abundance is 28682960
Bases of 42812120
- Binary: 101000110101000010110110002
- Hexadecimal: 0x28D42D8
- Base-36: PHM1K
Squares and roots of 42812120
- 42812120 squared (428121202) is 1832877618894400
- 42812120 cubed (428121203) is 78469376565421320128000
-
The
square root of 42812120 is 6543.0971259795 -
The
cube root of 42812120 is 349.8288142455
Scales and comparisons
How big is 42812120?- 42,812,120 seconds is equal to 1 year, 18 weeks, 5 days, 12 hours, 15 minutes, 20 seconds.
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To count from 1 to 42,812,120 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 42812120 cubic inches would be around 29.2 feet tall.
Recreational maths with 42812120
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The information we have on file for 42812120 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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