Search a number
-
+
34124011477 is a prime number
BaseRepresentation
bin11111110001111100…
…110001011111010101
310021002011100101120221
4133301330301133111
51024341221331402
623402031554341
72315424211633
oct376174613725
9107064311527
1034124011477
1113521129986
12674408b9b1
1332aa8b658a
14191a040353
15d4abe8337
hex7f1f317d5

34124011477 has 2 divisors, whose sum is σ = 34124011478. Its totient is φ = 34124011476.

The previous prime is 34124011333. The next prime is 34124011507. The reversal of 34124011477 is 77411042143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25194895441 + 8929116036 = 158729^2 + 94494^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34124011477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34124011777) 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, 17062005738 + 17062005739.

It is an arithmetic number, because the mean of its divisors is an integer number (17062005739).

Almost surely, 234124011477 is an apocalyptic number.

It is an amenable number.

34124011477 is a deficient number, since it is larger than the sum of its proper divisors (1).

34124011477 is an equidigital number, since it uses as much as digits as its factorization.

34124011477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 34124011477 in words is "thirty-four billion, one hundred twenty-four million, eleven thousand, four hundred seventy-seven".