Search a number
-
+
56456023040441 is a prime number
BaseRepresentation
bin11001101011000101100010…
…01100101110000110111001
321101220010212022111111212122
430311202301030232012321
524344433413344243231
6320023312224451025
714614545611005613
oct1465426114560671
9241803768444778
1056456023040441
1116a96957223362
1263b967ba79a75
132566a1ac35b7b
14dd26b3bb5db3
1567d83da2077b
hex3358b132e1b9

56456023040441 has 2 divisors, whose sum is σ = 56456023040442. Its totient is φ = 56456023040440.

The previous prime is 56456023040419. The next prime is 56456023040513. The reversal of 56456023040441 is 14404032065465.

56456023040441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54840378674041 + 1615644366400 = 7405429^2 + 1271080^2 .

It is a cyclic number.

It is not a de Polignac number, because 56456023040441 - 214 = 56456023024057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56456023040392 and 56456023040401.

It is not a weakly prime, because it can be changed into another prime (56456023000441) 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, 28228011520220 + 28228011520221.

It is an arithmetic number, because the mean of its divisors is an integer number (28228011520221).

Almost surely, 256456023040441 is an apocalyptic number.

It is an amenable number.

56456023040441 is a deficient number, since it is larger than the sum of its proper divisors (1).

56456023040441 is an equidigital number, since it uses as much as digits as its factorization.

56456023040441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 56456023040441 in words is "fifty-six trillion, four hundred fifty-six billion, twenty-three million, forty thousand, four hundred forty-one".