42081984
42,081,984 is an even composite number composed of four prime numbers multiplied together.
42081984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 42081984:
26 × 33 × 73 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 71)See below for interesting mathematical facts about the number 42081984 from the Numbermatics database.
Names of 42081984
- Cardinal: 42081984 can be written as Forty-two million, eighty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.2081984 × 107
Factors of 42081984
Divisors of 42081984
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 71 72 84 96 98 108 112 126 142 144 147 168 189 192 196 213 216 224 252 284 288 294 336 343 378 392 426 432 441 448 497 504 568 576 588 639 672 686 756 784 852 864 882 994 1008 1029 1136 1176 1278 1323 1344 1372 1491 1512 1568 1704 1728 1764 1917 1988 2016 2058 2272 2352 2556 2646 2744 2982 3024 3087 3136 3408 3479 3528 3834 3976 4032 4116 4473 4544 4704 5112 5292 5488 5964 6048 6174 6816 6958 7056 7668 7952 8232 8946 9261 9408 10224 10437 10584 10976 11928 12096 12348 13419 13632 13916 14112 15336 15904 16464 17892 18522 20448 20874 21168 21952 23856 24353 24696 26838 27832 28224 30672 31311 31808 32928 35784 37044 40896 41748 42336 47712 48706 49392 53676 55664 61344 62622 65856 71568 73059 74088 83496 84672 93933 95424 97412 98784 107352 111328 122688 125244 143136 146118 148176 166992 187866 194824 197568 214704 219177 222656 250488 286272 292236 296352 333984 375732 389648 429408 438354 500976 584472 592704 657531 667968 751464 779296 858816 876708 1001952 1168944 1315062 1502928 1558592 1753416 2003904 2337888 2630124 3005856 3506832 4675776 5260248 6011712 7013664 10520496 14027328 21040992 42081984
- Sum of all divisors σ(n): 146304000
- Sum of proper divisors (its aliquot sum) s(n): 104222016
- 42081984 is an abundant number, because the sum of its proper divisors (104222016) is greater than itself. Its abundance is 62140032
Bases of 42081984
- Binary: 101000001000011110110000002
- Hexadecimal: 0x2821EC0
- Base-36: P1YO0
Squares and roots of 42081984
- 42081984 squared (420819842) is 1770893377376256
- 42081984 cubed (420819843) is 74522706772453566971904
-
The
square root of 42081984 is 6487.0628176395 -
The
cube root of 42081984 is 347.8286909515
Scales and comparisons
How big is 42081984?- 42,081,984 seconds is equal to 1 year, 17 weeks, 4 days, 1 hour, 26 minutes, 24 seconds.
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To count from 1 to 42,081,984 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 42081984 cubic inches would be around 29 feet tall.
Recreational maths with 42081984
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The information we have on file for 42081984 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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