Search a number
-
+
34914374153 is a prime number
BaseRepresentation
bin100000100001000011…
…110001001000001001
310100010020112222100122
4200201003301020021
51033001034433103
624012304113025
72344132166201
oct404103611011
9110106488318
1034914374153
111389728807a
126924905775
1333a55739b9
141992dbb401
15d952b9b38
hex8210f1209

34914374153 has 2 divisors, whose sum is σ = 34914374154. Its totient is φ = 34914374152.

The previous prime is 34914374119. The next prime is 34914374161. The reversal of 34914374153 is 35147341943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25111790089 + 9802584064 = 158467^2 + 99008^2 .

It is a cyclic number.

It is not a de Polignac number, because 34914374153 - 234 = 17734504969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34914374113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17457187076 + 17457187077.

It is an arithmetic number, because the mean of its divisors is an integer number (17457187077).

Almost surely, 234914374153 is an apocalyptic number.

It is an amenable number.

34914374153 is a deficient number, since it is larger than the sum of its proper divisors (1).

34914374153 is an equidigital number, since it uses as much as digits as its factorization.

34914374153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 44.

The spelling of 34914374153 in words is "thirty-four billion, nine hundred fourteen million, three hundred seventy-four thousand, one hundred fifty-three".