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434144400031 is a prime number
BaseRepresentation
bin1100101000101010000…
…01011101001010011111
31112111121021021121102101
412110111001131022133
524103111431300111
6531235421105531
743236334340536
oct6242501351237
91474537247371
10434144400031
11158135217521
12701820b82a7
1331c2a512b44
1417026bcd31d
15b45e2bcbc1
hex651505d29f

434144400031 has 2 divisors, whose sum is σ = 434144400032. Its totient is φ = 434144400030.

The previous prime is 434144400029. The next prime is 434144400043. The reversal of 434144400031 is 130004441434.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 434144400031 - 21 = 434144400029 is a prime.

It is a super-2 number, since 2×4341444000312 (a number of 24 digits) contains 22 as substring.

Together with 434144400029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (434144400091) 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, 217072200015 + 217072200016.

It is an arithmetic number, because the mean of its divisors is an integer number (217072200016).

Almost surely, 2434144400031 is an apocalyptic number.

434144400031 is a deficient number, since it is larger than the sum of its proper divisors (1).

434144400031 is an equidigital number, since it uses as much as digits as its factorization.

434144400031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434144400031 its reverse (130004441434), we get a palindrome (564148841465).

The spelling of 434144400031 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred thousand, thirty-one".