Search a number
-
+
34948714319 is a prime number
BaseRepresentation
bin100000100011000110…
…110000111101001111
310100012122011122012122
4200203012300331033
51033033332324234
624015532123155
72345030112251
oct404306607517
9110178148178
1034948714319
1113904702382
1269343064bb
1333ac70831c
141997799cd1
15d982ee92e
hex8231b0f4f

34948714319 has 2 divisors, whose sum is σ = 34948714320. Its totient is φ = 34948714318.

The previous prime is 34948714147. The next prime is 34948714379. The reversal of 34948714319 is 91341784943.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34948714319 is a prime.

It is a super-2 number, since 2×349487143192 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34948714379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17474357159 + 17474357160.

It is an arithmetic number, because the mean of its divisors is an integer number (17474357160).

Almost surely, 234948714319 is an apocalyptic number.

34948714319 is a deficient number, since it is larger than the sum of its proper divisors (1).

34948714319 is an equidigital number, since it uses as much as digits as its factorization.

34948714319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2612736, while the sum is 53.

The spelling of 34948714319 in words is "thirty-four billion, nine hundred forty-eight million, seven hundred fourteen thousand, three hundred nineteen".