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34004135021 = 97619756569
BaseRepresentation
bin11111101010110011…
…011110110001101101
310020202210210001000012
4133222303132301231
51024120024310041
623342110343005
72312440243613
oct375263366155
9106683701005
1034004135021
111346a4a1a2a
12670babaa65
13328bb0396c
1419081576b3
15d404193eb
hex7eacdec6d

34004135021 has 8 divisors (see below), whose sum is σ = 34360844280. Its totient is φ = 33647551488.

The previous prime is 34004134993. The next prime is 34004135041. The reversal of 34004135021 is 12053140043.

It can be written as a sum of positive squares in 4 ways, for example, as 11537122921 + 22467012100 = 107411^2 + 149890^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34004135021 - 214 = 34004118637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004135041) 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 in 7 ways as a sum of consecutive naturals, for example, 572825 + ... + 629393.

It is an arithmetic number, because the mean of its divisors is an integer number (4295105535).

Almost surely, 234004135021 is an apocalyptic number.

It is an amenable number.

34004135021 is a deficient number, since it is larger than the sum of its proper divisors (356709259).

34004135021 is an equidigital number, since it uses as much as digits as its factorization.

34004135021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62863.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 34004135021 its reverse (12053140043), we get a palindrome (46057275064).

The spelling of 34004135021 in words is "thirty-four billion, four million, one hundred thirty-five thousand, twenty-one".

Divisors: 1 97 6197 56569 601109 5487193 350558093 34004135021