40422144
40,422,144 is an even composite number composed of five prime numbers multiplied together.
40422144 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 40422144:
28 × 3 × 7 × 73 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 73 × 103)See below for interesting mathematical facts about the number 40422144 from the Numbermatics database.
Names of 40422144
- Cardinal: 40422144 can be written as Forty million, four hundred twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.0422144 × 107
Factors of 40422144
Divisors of 40422144
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 103 112 128 146 168 192 206 219 224 256 292 309 336 384 412 438 448 511 584 618 672 721 768 824 876 896 1022 1168 1236 1344 1442 1533 1648 1752 1792 2044 2163 2336 2472 2688 2884 3066 3296 3504 4088 4326 4672 4944 5376 5768 6132 6592 7008 7519 8176 8652 9344 9888 11536 12264 13184 14016 15038 16352 17304 18688 19776 22557 23072 24528 26368 28032 30076 32704 34608 39552 45114 46144 49056 52633 56064 60152 65408 69216 79104 90228 92288 98112 105266 120304 130816 138432 157899 180456 184576 196224 210532 240608 276864 315798 360912 392448 421064 481216 553728 631596 721824 842128 962432 1263192 1443648 1684256 1924864 2526384 2887296 3368512 5052768 5774592 6737024 10105536 13474048 20211072 40422144
- Sum of all divisors σ(n): 125844992
- Sum of proper divisors (its aliquot sum) s(n): 85422848
- 40422144 is an abundant number, because the sum of its proper divisors (85422848) is greater than itself. Its abundance is 45000704
Bases of 40422144
- Binary: 100110100011001011000000002
- Hexadecimal: 0x268CB00
- Base-36: O2DXC
Squares and roots of 40422144
- 40422144 squared (404221442) is 1633949725556736
- 40422144 cubed (404221443) is 66047751095214862761984
-
The
square root of 40422144 is 6357.8411430297 -
The
cube root of 40422144 is 343.1940751309
Scales and comparisons
How big is 40422144?- 40,422,144 seconds is equal to 1 year, 14 weeks, 5 days, 20 hours, 22 minutes, 24 seconds.
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To count from 1 to 40,422,144 would take you about forty-eight weeks!
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 40422144 cubic inches would be around 28.6 feet tall.
Recreational maths with 40422144
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The information we have on file for 40422144 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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