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456133140431 is a prime number
BaseRepresentation
bin1101010001100111010…
…01110101111111001111
31121121100200222100121222
412220303221311333033
524433130040443211
6545313352113555
744645255502443
oct6506351657717
91547320870558
10456133140431
111664992a2651
127449a0958bb
1334022c21b37
141811127c823
15bce99251db
hex6a33a75fcf

456133140431 has 2 divisors, whose sum is σ = 456133140432. Its totient is φ = 456133140430.

The previous prime is 456133140377. The next prime is 456133140473. The reversal of 456133140431 is 134041331654.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-456133140431 is a prime.

It is a super-2 number, since 2×4561331404312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456133140391 and 456133140400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456133140131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228066570215 + 228066570216.

It is an arithmetic number, because the mean of its divisors is an integer number (228066570216).

Almost surely, 2456133140431 is an apocalyptic number.

456133140431 is a deficient number, since it is larger than the sum of its proper divisors (1).

456133140431 is an equidigital number, since it uses as much as digits as its factorization.

456133140431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 456133140431 in words is "four hundred fifty-six billion, one hundred thirty-three million, one hundred forty thousand, four hundred thirty-one".