42181216
42,181,216 is an even composite number composed of six prime numbers multiplied together.
42181216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 42181216:
25 × 7 × 11 × 17 × 19 × 53
(2 × 2 × 2 × 2 × 2 × 7 × 11 × 17 × 19 × 53)See below for interesting mathematical facts about the number 42181216 from the Numbermatics database.
Names of 42181216
- Cardinal: 42181216 can be written as Forty-two million, one hundred eighty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.2181216 × 107
Factors of 42181216
Divisors of 42181216
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 8 11 14 16 17 19 22 28 32 34 38 44 53 56 68 76 77 88 106 112 119 133 136 152 154 176 187 209 212 224 238 266 272 304 308 323 352 371 374 418 424 476 532 544 583 608 616 646 742 748 836 848 901 952 1007 1064 1166 1232 1292 1309 1463 1484 1496 1672 1696 1802 1904 2014 2128 2261 2332 2464 2584 2618 2926 2968 2992 3344 3553 3604 3808 4028 4081 4256 4522 4664 5168 5236 5852 5936 5984 6307 6688 7049 7106 7208 8056 8162 9044 9328 9911 10336 10472 11077 11704 11872 12614 14098 14212 14416 16112 16324 17119 18088 18656 19822 20944 22154 23408 24871 25228 28196 28424 28832 32224 32648 34238 36176 39644 41888 44308 46816 49742 50456 56392 56848 65296 68476 69377 72352 77539 79288 88616 99484 100912 112784 113696 119833 130592 136952 138754 155078 158576 177232 188309 198968 201824 225568 239666 273904 277508 310156 317152 354464 376618 397936 479332 547808 555016 620312 753236 795872 958664 1110032 1240624 1318163 1506472 1917328 2220064 2481248 2636326 3012944 3834656 5272652 6025888 10545304 21090608 42181216
- Sum of all divisors σ(n): 117573120
- Sum of proper divisors (its aliquot sum) s(n): 75391904
- 42181216 is an abundant number, because the sum of its proper divisors (75391904) is greater than itself. Its abundance is 33210688
Bases of 42181216
- Binary: 101000001110100010011000002
- Hexadecimal: 0x283A260
- Base-36: P438G
Squares and roots of 42181216
- 42181216 squared (421812162) is 1779254983238656
- 42181216 cubed (421812163) is 75051138767066128285696
-
The
square root of 42181216 is 6494.7067678225 -
The
cube root of 42181216 is 348.1018770735
Scales and comparisons
How big is 42181216?- 42,181,216 seconds is equal to 1 year, 17 weeks, 5 days, 5 hours, 16 seconds.
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To count from 1 to 42,181,216 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 42181216 cubic inches would be around 29 feet tall.
Recreational maths with 42181216
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The information we have on file for 42181216 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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