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442400041 is a prime number
BaseRepresentation
bin11010010111100…
…111110100101001
31010211110020202201
4122113213310221
51401223300131
6111522100201
713651224016
oct3227476451
91124406681
10442400041
112077a5776
121041aa661
1370868695
1442a8070d
1528c8b761
hex1a5e7d29

442400041 has 2 divisors, whose sum is σ = 442400042. Its totient is φ = 442400040.

The previous prime is 442400011. The next prime is 442400051. The reversal of 442400041 is 140004244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438483600 + 3916441 = 20940^2 + 1979^2 .

It is a cyclic number.

It is not a de Polignac number, because 442400041 - 213 = 442391849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442399991 and 442400018.

It is not a weakly prime, because it can be changed into another prime (442400011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221200020 + 221200021.

It is an arithmetic number, because the mean of its divisors is an integer number (221200021).

Almost surely, 2442400041 is an apocalyptic number.

It is an amenable number.

442400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

442400041 is an equidigital number, since it uses as much as digits as its factorization.

442400041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 442400041 is about 21033.3078948605. The cubic root of 442400041 is about 761.9709007380.

Adding to 442400041 its reverse (140004244), we get a palindrome (582404285).

The spelling of 442400041 in words is "four hundred forty-two million, four hundred thousand, forty-one".