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34332540504481 is a prime number
BaseRepresentation
bin1111100111001101010101…
…11000011000100110100001
311111120011021210000101112001
413303212222320120212201
514000001020332120411
6201004052410204001
710142305234141312
oct763465270304641
9144504253011461
1034332540504481
11aa3739208162a
123a25a62423601
13162071087015b
148699bd42c609
153e81050e8dc1
hex1f39aae189a1

34332540504481 has 2 divisors, whose sum is σ = 34332540504482. Its totient is φ = 34332540504480.

The previous prime is 34332540504407. The next prime is 34332540504529. The reversal of 34332540504481 is 18440504523343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20051767526400 + 14280772978081 = 4477920^2 + 3778991^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34332540504481 is a prime.

It is a super-2 number, since 2×343325405044812 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34332540504881) 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, 17166270252240 + 17166270252241.

It is an arithmetic number, because the mean of its divisors is an integer number (17166270252241).

Almost surely, 234332540504481 is an apocalyptic number.

It is an amenable number.

34332540504481 is a deficient number, since it is larger than the sum of its proper divisors (1).

34332540504481 is an equidigital number, since it uses as much as digits as its factorization.

34332540504481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 34332540504481 in words is "thirty-four trillion, three hundred thirty-two billion, five hundred forty million, five hundred four thousand, four hundred eighty-one".