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34111315540 = 2252958812613
BaseRepresentation
bin11111110001001100…
…010101111001010100
310021001021110101001001
4133301030111321110
51024324444044130
623400455513044
72315211253351
oct376114257124
9107037411031
1034111315540
1113514a48275
12673b988784
1332a808c8a3
141918497628
15d49a3b6ca
hex7f1315e54

34111315540 has 24 divisors (see below), whose sum is σ = 74103893640. Its totient is φ = 13174025088.

The previous prime is 34111315493. The next prime is 34111315547. The reversal of 34111315540 is 4551311143.

It can be written as a sum of positive squares in 4 ways, for example, as 5168459664 + 28942855876 = 71892^2 + 170126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34111315499 and 34111315508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34111315547) 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, 29405727 + ... + 29406886.

It is an arithmetic number, because the mean of its divisors is an integer number (3087662235).

Almost surely, 234111315540 is an apocalyptic number.

It is an amenable number.

34111315540 is an abundant number, since it is smaller than the sum of its proper divisors (39992578100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34111315540 is a wasteful number, since it uses less digits than its factorization.

34111315540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58812651 (or 58812649 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 34111315540 its reverse (4551311143), we get a palindrome (38662626683).

It can be divided in two parts, 341113 and 15540, that added together give a palindrome (356653).

The spelling of 34111315540 in words is "thirty-four billion, one hundred eleven million, three hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 58812613 117625226 235250452 294063065 588126130 1176252260 1705565777 3411131554 6822263108 8527828885 17055657770 34111315540