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2040443441 is a prime number
BaseRepresentation
bin111100110011110…
…1011001000110001
312021012110021012022
41321213223020301
513134323142231
6534245441225
7101364324461
oct17147531061
95235407168
102040443441
119578603a3
1248b410215
132669679aa
14154dc5ba1
15be200c7b
hex799eb231

2040443441 has 2 divisors, whose sum is σ = 2040443442. Its totient is φ = 2040443440.

The previous prime is 2040443437. The next prime is 2040443443. The reversal of 2040443441 is 1443440402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1962933025 + 77510416 = 44305^2 + 8804^2 .

It is a cyclic number.

It is not a de Polignac number, because 2040443441 - 22 = 2040443437 is a prime.

Together with 2040443443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2040443441.

It is not a weakly prime, because it can be changed into another prime (2040443443) 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, 1020221720 + 1020221721.

It is an arithmetic number, because the mean of its divisors is an integer number (1020221721).

Almost surely, 22040443441 is an apocalyptic number.

It is an amenable number.

2040443441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2040443441 is an equidigital number, since it uses as much as digits as its factorization.

2040443441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2040443441 is about 45171.2678701849. The cubic root of 2040443441 is about 1268.3570299687.

Adding to 2040443441 its reverse (1443440402), we get a palindrome (3483883843).

The spelling of 2040443441 in words is "two billion, forty million, four hundred forty-three thousand, four hundred forty-one".