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414341322137 is a prime number
BaseRepresentation
bin1100000011110001010…
…10101101010110011001
31110121111011022000111222
412001320222231112121
523242032334302022
6514202404301425
741635523061551
oct6017052552631
91417434260458
10414341322137
1114a7a2968a46
12683760a1875
13300c2885582
14160a8b28161
15aba099e242
hex6078aad599

414341322137 has 2 divisors, whose sum is σ = 414341322138. Its totient is φ = 414341322136.

The previous prime is 414341322121. The next prime is 414341322251. The reversal of 414341322137 is 731223143414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316407375001 + 97933947136 = 562501^2 + 312944^2 .

It is a cyclic number.

It is not a de Polignac number, because 414341322137 - 24 = 414341322121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414341322097 and 414341322106.

It is not a weakly prime, because it can be changed into another prime (414341352137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207170661068 + 207170661069.

It is an arithmetic number, because the mean of its divisors is an integer number (207170661069).

Almost surely, 2414341322137 is an apocalyptic number.

It is an amenable number.

414341322137 is a deficient number, since it is larger than the sum of its proper divisors (1).

414341322137 is an equidigital number, since it uses as much as digits as its factorization.

414341322137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 35.

The spelling of 414341322137 in words is "four hundred fourteen billion, three hundred forty-one million, three hundred twenty-two thousand, one hundred thirty-seven".