42117264
42,117,264 is an even composite number composed of five prime numbers multiplied together.
42117264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 42117264:
24 × 32 × 72 × 47 × 127
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 47 × 127)See below for interesting mathematical facts about the number 42117264 from the Numbermatics database.
Names of 42117264
- Cardinal: 42117264 can be written as Forty-two million, one hundred seventeen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 4.2117264 × 107
Factors of 42117264
Divisors of 42117264
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 49 56 63 72 84 94 98 112 126 127 141 144 147 168 188 196 252 254 282 294 329 336 376 381 392 423 441 504 508 564 588 658 752 762 784 846 882 889 987 1008 1016 1128 1143 1176 1316 1524 1692 1764 1778 1974 2032 2256 2286 2303 2352 2632 2667 2961 3048 3384 3528 3556 3948 4572 4606 5264 5334 5922 5969 6096 6223 6768 6909 7056 7112 7896 8001 9144 9212 10668 11844 11938 12446 13818 14224 15792 16002 17907 18288 18424 18669 20727 21336 23688 23876 24892 27636 32004 35814 36848 37338 41454 41783 42672 47376 47752 49784 53721 55272 56007 64008 71628 74676 82908 83566 95504 99568 107442 110544 112014 125349 128016 143256 149352 165816 167132 214884 224028 250698 286512 292481 298704 331632 334264 376047 429768 448056 501396 584962 668528 752094 859536 877443 896112 1002792 1169924 1504188 1754886 2005584 2339848 2632329 3008376 3509772 4679696 5264658 6016752 7019544 10529316 14039088 21058632 42117264
- Sum of all divisors σ(n): 141133824
- Sum of proper divisors (its aliquot sum) s(n): 99016560
- 42117264 is an abundant number, because the sum of its proper divisors (99016560) is greater than itself. Its abundance is 56899296
Bases of 42117264
- Binary: 101000001010101000100100002
- Hexadecimal: 0x282A890
- Base-36: P2PW0
Squares and roots of 42117264
- 42117264 squared (421172642) is 1773863926845696
- 42117264 cubed (421172643) is 74710295307036865695744
-
The
square root of 42117264 is 6489.7815063373 -
The
cube root of 42117264 is 347.9258660951
Scales and comparisons
How big is 42117264?- 42,117,264 seconds is equal to 1 year, 17 weeks, 4 days, 11 hours, 14 minutes, 24 seconds.
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To count from 1 to 42,117,264 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 42117264 cubic inches would be around 29 feet tall.
Recreational maths with 42117264
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