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443004423224137 is a prime number
BaseRepresentation
bin110010010111010010000000…
…1010001111011101101001001
32011002112210211221112110201121
41210232210001101323231021
5431031141024321133022
64210105231131515241
7162212004405026365
oct14456440121735511
92132483757473647
10443004423224137
11119178136899185
1241829284bb8b21
13160261a3b4a1a8
147b5775825c2a5
153633865a642c7
hex192e90147bb49

443004423224137 has 2 divisors, whose sum is σ = 443004423224138. Its totient is φ = 443004423224136.

The previous prime is 443004423224123. The next prime is 443004423224159. The reversal of 443004423224137 is 731422324400344.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326638064143161 + 116366359080976 = 18073131^2 + 10787324^2 .

It is a cyclic number.

It is not a de Polignac number, because 443004423224137 - 211 = 443004423222089 is a prime.

It is a super-2 number, since 2×4430044232241372 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443004423224093 and 443004423224102.

It is not a weakly prime, because it can be changed into another prime (443004423224837) 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, 221502211612068 + 221502211612069.

It is an arithmetic number, because the mean of its divisors is an integer number (221502211612069).

Almost surely, 2443004423224137 is an apocalyptic number.

It is an amenable number.

443004423224137 is a deficient number, since it is larger than the sum of its proper divisors (1).

443004423224137 is an equidigital number, since it uses as much as digits as its factorization.

443004423224137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1548288, while the sum is 43.

The spelling of 443004423224137 in words is "four hundred forty-three trillion, four billion, four hundred twenty-three million, two hundred twenty-four thousand, one hundred thirty-seven".