Search a number
-
+
456741140479067 is a prime number
BaseRepresentation
bin110011111011001110101010…
…1011011101011110001011011
32012220012000201101112012120202
41213312131111123223301123
5434331221323430312232
64255223552220012415
7165130313150120063
oct14766352533536133
92186160641465522
10456741140479067
11122593914646654
12432875ab99110b
13167b1673ba4592
1480b0563b8c3a3
1537c0d42995162
hex19f67556ebc5b

456741140479067 has 2 divisors, whose sum is σ = 456741140479068. Its totient is φ = 456741140479066.

The previous prime is 456741140478979. The next prime is 456741140479069. The reversal of 456741140479067 is 760974041147654.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 456741140479067 - 210 = 456741140478043 is a prime.

It is a super-2 number, since 2×4567411404790672 (a number of 30 digits) contains 22 as substring.

Together with 456741140479069, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 456741140478994 and 456741140479012.

It is not a weakly prime, because it can be changed into another prime (456741140479069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228370570239533 + 228370570239534.

It is an arithmetic number, because the mean of its divisors is an integer number (228370570239534).

Almost surely, 2456741140479067 is an apocalyptic number.

456741140479067 is a deficient number, since it is larger than the sum of its proper divisors (1).

456741140479067 is an equidigital number, since it uses as much as digits as its factorization.

456741140479067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142248960, while the sum is 65.

The spelling of 456741140479067 in words is "four hundred fifty-six trillion, seven hundred forty-one billion, one hundred forty million, four hundred seventy-nine thousand, sixty-seven".