42201984
42,201,984 is an even composite number composed of five prime numbers multiplied together.
42201984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 42201984:
27 × 3 × 11 × 97 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 97 × 103)See below for interesting mathematical facts about the number 42201984 from the Numbermatics database.
Names of 42201984
- Cardinal: 42201984 can be written as Forty-two million, two hundred one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.2201984 × 107
Factors of 42201984
Divisors of 42201984
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 103 128 132 176 192 194 206 264 291 309 352 384 388 412 528 582 618 704 776 824 1056 1067 1133 1164 1236 1408 1552 1648 2112 2134 2266 2328 2472 3104 3201 3296 3399 4224 4268 4532 4656 4944 6208 6402 6592 6798 8536 9064 9312 9888 9991 12416 12804 13184 13596 17072 18128 18624 19776 19982 25608 27192 29973 34144 36256 37248 39552 39964 51216 54384 59946 68288 72512 79928 102432 108768 109901 119892 136576 145024 159856 204864 217536 219802 239784 319712 329703 409728 435072 439604 479568 639424 659406 879208 959136 1278848 1318812 1758416 1918272 2637624 3516832 3836544 5275248 7033664 10550496 14067328 21100992 42201984
- Sum of all divisors σ(n): 124750080
- Sum of proper divisors (its aliquot sum) s(n): 82548096
- 42201984 is an abundant number, because the sum of its proper divisors (82548096) is greater than itself. Its abundance is 40346112
Bases of 42201984
- Binary: 101000001111110011100000002
- Hexadecimal: 0x283F380
- Base-36: P4J9C
Squares and roots of 42201984
- 42201984 squared (422019842) is 1781007453536256
- 42201984 cubed (422019843) is 75162048058017819131904
-
The
square root of 42201984 is 6496.3054115399 -
The
cube root of 42201984 is 348.1589972353
Scales and comparisons
How big is 42201984?- 42,201,984 seconds is equal to 1 year, 17 weeks, 5 days, 10 hours, 46 minutes, 24 seconds.
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To count from 1 to 42,201,984 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 42201984 cubic inches would be around 29 feet tall.
Recreational maths with 42201984
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The information we have on file for 42201984 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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