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34144138405 = 513525294437
BaseRepresentation
bin11111110011001001…
…100011010010100101
310021010120012221112201
4133303021203102211
51024411344412110
623404031214501
72316060250006
oct376311432245
9107116187481
1034144138405
1113531526603
12674a977431
1332b1b126c0
14191c99d1ad
15d4c871b3a
hex7f32634a5

34144138405 has 8 divisors (see below), whose sum is σ = 44124732792. Its totient is φ = 25214132928.

The previous prime is 34144138403. The next prime is 34144138417. The reversal of 34144138405 is 50483144143.

It can be written as a sum of positive squares in 4 ways, for example, as 1020866401 + 33123272004 = 31951^2 + 181998^2 .

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 34144138405 - 21 = 34144138403 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 (34144138403) 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 in 7 ways as a sum of consecutive naturals, for example, 262647154 + ... + 262647283.

It is an arithmetic number, because the mean of its divisors is an integer number (5515591599).

Almost surely, 234144138405 is an apocalyptic number.

It is an amenable number.

34144138405 is a deficient number, since it is larger than the sum of its proper divisors (9980594387).

34144138405 is a wasteful number, since it uses less digits than its factorization.

34144138405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525294455.

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 34144138405 in words is "thirty-four billion, one hundred forty-four million, one hundred thirty-eight thousand, four hundred five".

Divisors: 1 5 13 65 525294437 2626472185 6828827681 34144138405