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34065256043 = 7213388913751
BaseRepresentation
bin11111101110011100…
…101000111001101011
310020221001210022021202
4133232130220321223
51024231201143133
623352132354415
72314111620200
oct375634507153
9106831708252
1034065256043
11134a0a49075
126728475a0b
13329b683c50
141912307ca7
15d4598e2e8
hex7ee728e6b

34065256043 has 24 divisors (see below), whose sum is σ = 42689233440. Its totient is φ = 26943840000.

The previous prime is 34065256003. The next prime is 34065256061.

It is a happy number.

34065256043 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34065256043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34065255988 and 34065256006.

It is not an unprimeable number, because it can be changed into a prime (34065256003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2470418 + ... + 2484168.

It is an arithmetic number, because the mean of its divisors is an integer number (1778718060).

Almost surely, 234065256043 is an apocalyptic number.

34065256043 is a deficient number, since it is larger than the sum of its proper divisors (8623977397).

34065256043 is a wasteful number, since it uses less digits than its factorization.

34065256043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17667 (or 17660 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 34065256043 in words is "thirty-four billion, sixty-five million, two hundred fifty-six thousand, forty-three".

Divisors: 1 7 13 49 91 637 3889 13751 27223 50557 96257 178763 190561 353899 673799 1251341 2477293 8759387 53477639 374343473 695209307 2620404311 4866465149 34065256043