Search a number
-
+
414344422417 is a prime number
BaseRepresentation
bin1100000011110001101…
…10100010010000010001
31110121111101010112022011
412001320312202100101
523242034133004132
6514202554542521
741635561323352
oct6017066422021
91417441115264
10414344422417
1114a7a4696262
1268377137a41
13300c33cc763
14160a92d3d29
15aba0db2b47
hex6078da2411

414344422417 has 2 divisors, whose sum is σ = 414344422418. Its totient is φ = 414344422416.

The previous prime is 414344422403. The next prime is 414344422469. The reversal of 414344422417 is 714224443414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302718939601 + 111625482816 = 550199^2 + 334104^2 .

It is a cyclic number.

It is not a de Polignac number, because 414344422417 - 223 = 414336033809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414344422417.

It is not a weakly prime, because it can be changed into another prime (414344422517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207172211208 + 207172211209.

It is an arithmetic number, because the mean of its divisors is an integer number (207172211209).

Almost surely, 2414344422417 is an apocalyptic number.

It is an amenable number.

414344422417 is a deficient number, since it is larger than the sum of its proper divisors (1).

414344422417 is an equidigital number, since it uses as much as digits as its factorization.

414344422417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 344064, while the sum is 40.

The spelling of 414344422417 in words is "four hundred fourteen billion, three hundred forty-four million, four hundred twenty-two thousand, four hundred seventeen".