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34042314321 = 327753487873
BaseRepresentation
bin11111101101000101…
…000111111001010001
310020212110121202011100
4133231011013321101
51024204313024241
623345552535013
72313412616541
oct375505077121
9106773552140
1034042314321
1113489aa9674
126720851469
1332969b0872
14190d255321
15d4395b9b6
hex7ed147e51

34042314321 has 12 divisors (see below), whose sum is σ = 49178674948. Its totient is φ = 22691902464.

The previous prime is 34042314311. The next prime is 34042314323. The reversal of 34042314321 is 12341324043.

34042314321 is a `hidden beast` number, since 3 + 404 + 231 + 4 + 3 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23055081921 + 10987232400 = 151839^2 + 104820^2 .

It is not a de Polignac number, because 34042314321 - 226 = 33975205457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34042314323) 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, 174160 + ... + 313713.

Almost surely, 234042314321 is an apocalyptic number.

It is an amenable number.

34042314321 is a deficient number, since it is larger than the sum of its proper divisors (15136360627).

34042314321 is a wasteful number, since it uses less digits than its factorization.

34042314321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495632 (or 495629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34042314321 its reverse (12341324043), we get a palindrome (46383638364).

The spelling of 34042314321 in words is "thirty-four billion, forty-two million, three hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 7753 23259 69777 487873 1463619 4390857 3782479369 11347438107 34042314321