422405442
422,405,442 is an even composite number composed of five prime numbers multiplied together.
422405442 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 422405442:
2 × 35 × 232 × 31 × 53
(2 × 3 × 3 × 3 × 3 × 3 × 23 × 23 × 31 × 53)See below for interesting mathematical facts about the number 422405442 from the Numbermatics database.
Names of 422405442
- Cardinal: 422405442 can be written as Four hundred twenty-two million, four hundred five thousand, four hundred forty-two.
Scientific notation
- Scientific notation: 4.22405442 × 108
Factors of 422405442
Divisors of 422405442
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 9 18 23 27 31 46 53 54 62 69 81 93 106 138 159 162 186 207 243 279 318 414 477 486 529 558 621 713 837 954 1058 1219 1242 1426 1431 1587 1643 1674 1863 2139 2438 2511 2862 3174 3286 3657 3726 4278 4293 4761 4929 5022 5589 6417 7314 7533 8586 9522 9858 10971 11178 12834 12879 14283 14787 15066 16399 19251 21942 25758 28037 28566 29574 32798 32913 37789 38502 42849 44361 49197 56074 57753 65826 75578 84111 85698 88722 98394 98739 113367 115506 128547 133083 147591 168222 173259 197478 226734 252333 257094 266166 295182 296217 340101 346518 399249 442773 504666 592434 680202 756999 798498 869147 885546 1020303 1328319 1513998 1738294 2040606 2270997 2607441 2656638 3060909 3984957 4541994 5214882 6121818 6812991 7822323 7969914 9182727 13625982 15644646 18365454 23466969 46933938 70400907 140801814 211202721 422405442
- Sum of all divisors σ(n): 1043497728
- Sum of proper divisors (its aliquot sum) s(n): 621092286
- 422405442 is an abundant number, because the sum of its proper divisors (621092286) is greater than itself. Its abundance is 198686844
Bases of 422405442
- Binary: 110010010110101100101010000102
- Hexadecimal: 0x192D6542
- Base-36: 6ZHM4I
Squares and roots of 422405442
- 422405442 squared (4224054422) is 178426357431215364
- 422405442 cubed (4224054423) is 75368264375182510427610888
-
The
square root of 422405442 is 20552.5045189145 -
The
cube root of 422405442 is 750.3142043491
Scales and comparisons
How big is 422405442?- 422,405,442 seconds is equal to 13 years, 22 weeks, 2 days, 22 hours, 50 minutes, 42 seconds.
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To count from 1 to 422,405,442 would take you about twenty 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 422405442 cubic inches would be around 62.5 feet tall.
Recreational maths with 422405442
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