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34024131441 = 3215724079357
BaseRepresentation
bin11111101011111111…
…110000101101110001
310020211012101221221100
4133223333300231301
51024140134201231
623344103115013
72313102226326
oct375377605561
9106735357840
1034024131441
111347a80a5a3
126716742a69
133292cb5571
14190aa80b4d
15d420691e6
hex7ebff0b71

34024131441 has 12 divisors (see below), whose sum is σ = 49459001332. Its totient is φ = 22538277216.

The previous prime is 34024131433. The next prime is 34024131451. The reversal of 34024131441 is 14413142043.

34024131441 is a `hidden beast` number, since 340 + 2 + 4 + 1 + 314 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9856319841 + 24167811600 = 99279^2 + 155460^2 .

It is not a de Polignac number, because 34024131441 - 23 = 34024131433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34024131431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12038266 + ... + 12041091.

Almost surely, 234024131441 is an apocalyptic number.

It is an amenable number.

34024131441 is a deficient number, since it is larger than the sum of its proper divisors (15434869891).

34024131441 is a wasteful number, since it uses less digits than its factorization.

34024131441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24079520 (or 24079517 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34024131441 its reverse (14413142043), we get a palindrome (48437273484).

The spelling of 34024131441 in words is "thirty-four billion, twenty-four million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 157 471 1413 24079357 72238071 216714213 3780459049 11341377147 34024131441