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42410032961 is a prime number
BaseRepresentation
bin100111011111110101…
…011011111101000001
311001110121221220012112
4213133311123331001
51143323432023321
631252150105105
73030650221652
oct473765337501
9131417856175
1042410032961
1116a933a351a
12827704b195
133ccb471a7a
1420a46bd529
151183390a5b
hex9dfd5bf41

42410032961 has 2 divisors, whose sum is σ = 42410032962. Its totient is φ = 42410032960.

The previous prime is 42410032871. The next prime is 42410033053. The reversal of 42410032961 is 16923001424.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42402634561 + 7398400 = 205919^2 + 2720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42410032961 is a prime.

It is a super-2 number, since 2×424100329612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42410038961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21205016480 + 21205016481.

It is an arithmetic number, because the mean of its divisors is an integer number (21205016481).

Almost surely, 242410032961 is an apocalyptic number.

It is an amenable number.

42410032961 is a deficient number, since it is larger than the sum of its proper divisors (1).

42410032961 is an equidigital number, since it uses as much as digits as its factorization.

42410032961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 42410032961 in words is "forty-two billion, four hundred ten million, thirty-two thousand, nine hundred sixty-one".