42126966
42,126,966 is an even composite number composed of five prime numbers multiplied together.
42126966 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 42126966:
2 × 35 × 72 × 29 × 61
(2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 29 × 61)See below for interesting mathematical facts about the number 42126966 from the Numbermatics database.
Names of 42126966
- Cardinal: 42126966 can be written as Forty-two million, one hundred twenty-six thousand, nine hundred sixty-six.
Scientific notation
- Scientific notation: 4.2126966 × 107
Factors of 42126966
Divisors of 42126966
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 61 63 81 87 98 122 126 147 162 174 183 189 203 243 261 294 366 378 406 427 441 486 522 549 567 609 783 854 882 1098 1134 1218 1281 1323 1421 1566 1647 1701 1769 1827 2349 2562 2646 2842 2989 3294 3402 3538 3654 3843 3969 4263 4698 4941 5307 5481 5978 7047 7686 7938 8526 8967 9882 10614 10962 11529 11907 12383 12789 14094 14823 15921 16443 17934 23058 23814 24766 25578 26901 29646 31842 32886 34587 37149 38367 47763 49329 53802 69174 74298 76734 80703 86681 95526 98658 103761 111447 115101 143289 161406 173362 207522 222894 230202 242109 260043 286578 334341 345303 429867 484218 520086 668682 690606 726327 780129 859734 1003023 1452654 1560258 2006046 2340387 3009069 4680774 6018138 7021161 14042322 21063483 42126966
- Sum of all divisors σ(n): 115773840
- Sum of proper divisors (its aliquot sum) s(n): 73646874
- 42126966 is an abundant number, because the sum of its proper divisors (73646874) is greater than itself. Its abundance is 31519908
Bases of 42126966
- Binary: 101000001011001110011101102
- Hexadecimal: 0x282CE76
- Base-36: P2XDI
Squares and roots of 42126966
- 42126966 squared (421269662) is 1774681264365156
- 42126966 cubed (421269663) is 74761937284747938396696
-
The
square root of 42126966 is 6490.5289460875 -
The
cube root of 42126966 is 347.9525797455
Scales and comparisons
How big is 42126966?- 42,126,966 seconds is equal to 1 year, 17 weeks, 4 days, 13 hours, 56 minutes, 6 seconds.
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To count from 1 to 42,126,966 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 42126966 cubic inches would be around 29 feet tall.
Recreational maths with 42126966
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