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838414141 is a prime number
BaseRepresentation
bin110001111110010…
…010111100111101
32011102121211222121
4301332102330331
53204113223031
6215110042541
726530255045
oct6176227475
92142554877
10838414141
113a0298a54
121b4949451
13104912956
147d4c8725
154d914011
hex31f92f3d

838414141 has 2 divisors, whose sum is σ = 838414142. Its totient is φ = 838414140.

The previous prime is 838414097. The next prime is 838414163. The reversal of 838414141 is 141414838.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 614792025 + 223622116 = 24795^2 + 14954^2 .

It is a cyclic number.

It is not a de Polignac number, because 838414141 - 29 = 838413629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 838414097 and 838414106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (838424141) 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, 419207070 + 419207071.

It is an arithmetic number, because the mean of its divisors is an integer number (419207071).

Almost surely, 2838414141 is an apocalyptic number.

It is an amenable number.

838414141 is a deficient number, since it is larger than the sum of its proper divisors (1).

838414141 is an equidigital number, since it uses as much as digits as its factorization.

838414141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12288, while the sum is 34.

The square root of 838414141 is about 28955.3819004343. The cubic root of 838414141 is about 942.9446444252.

Adding to 838414141 its reverse (141414838), we get a palindrome (979828979).

The spelling of 838414141 in words is "eight hundred thirty-eight million, four hundred fourteen thousand, one hundred forty-one".