Search a number
-
+
456741140479069 is a prime number
BaseRepresentation
bin110011111011001110101010…
…1011011101011110001011101
32012220012000201101112012120211
41213312131111123223301131
5434331221323430312234
64255223552220012421
7165130313150120065
oct14766352533536135
92186160641465524
10456741140479069
11122593914646656
12432875ab991111
13167b1673ba4594
1480b0563b8c3a5
1537c0d42995164
hex19f67556ebc5d

456741140479069 has 2 divisors, whose sum is σ = 456741140479070. Its totient is φ = 456741140479068.

The previous prime is 456741140479067. The next prime is 456741140479123. The reversal of 456741140479069 is 960974041147654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408684149219844 + 48056991259225 = 20215938^2 + 6932315^2 .

It is a cyclic number.

It is not a de Polignac number, because 456741140479069 - 21 = 456741140479067 is a prime.

It is a super-2 number, since 2×4567411404790692 (a number of 30 digits) contains 22 as substring.

Together with 456741140479067, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 456741140478995 and 456741140479013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456741140479067) 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, 228370570239534 + 228370570239535.

It is an arithmetic number, because the mean of its divisors is an integer number (228370570239535).

Almost surely, 2456741140479069 is an apocalyptic number.

It is an amenable number.

456741140479069 is a deficient number, since it is larger than the sum of its proper divisors (1).

456741140479069 is an equidigital number, since it uses as much as digits as its factorization.

456741140479069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 182891520, while the sum is 67.

The spelling of 456741140479069 in words is "four hundred fifty-six trillion, seven hundred forty-one billion, one hundred forty million, four hundred seventy-nine thousand, sixty-nine".