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34004420041 is a prime number
BaseRepresentation
bin11111101010110100…
…100100010111001001
310020202211022111222111
4133222310210113021
51024120112420131
623342120422321
72312442541564
oct375264442711
9106684274874
1034004420041
111346a677089
1267100179a1
13328bba3607
1419081cd4db
15d40473ab1
hex7ead245c9

34004420041 has 2 divisors, whose sum is σ = 34004420042. Its totient is φ = 34004420040.

The previous prime is 34004419991. The next prime is 34004420069. The reversal of 34004420041 is 14002440043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26190567225 + 7813852816 = 161835^2 + 88396^2 .

It is a cyclic number.

It is not a de Polignac number, because 34004420041 - 27 = 34004419913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34004419994 and 34004420021.

It is not a weakly prime, because it can be changed into another prime (34004420341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17002210020 + 17002210021.

It is an arithmetic number, because the mean of its divisors is an integer number (17002210021).

Almost surely, 234004420041 is an apocalyptic number.

It is an amenable number.

34004420041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004420041 is an equidigital number, since it uses as much as digits as its factorization.

34004420041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34004420041 its reverse (14002440043), we get a palindrome (48006860084).

The spelling of 34004420041 in words is "thirty-four billion, four million, four hundred twenty thousand, forty-one".