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34136663143 = 1121123251221
BaseRepresentation
bin11111110010101101…
…000010010001100111
310021010001011011102011
4133302231002101213
51024402441210033
623403203055051
72315636564152
oct376255022147
9107101134364
1034136663143
1113528290300
126748371487
1332b03c607b
14191b9b4c99
15d4bd96ccd
hex7f2b42467

34136663143 has 12 divisors (see below), whose sum is σ = 37555679224. Its totient is φ = 31005572400.

The previous prime is 34136663137. The next prime is 34136663189.

34136663143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34136663143 - 29 = 34136662631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34136663096 and 34136663105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34136666143) 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 11 ways as a sum of consecutive naturals, for example, 10273 + ... + 261493.

Almost surely, 234136663143 is an apocalyptic number.

34136663143 is a deficient number, since it is larger than the sum of its proper divisors (3419016081).

34136663143 is a wasteful number, since it uses less digits than its factorization.

34136663143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252366 (or 252355 counting only the distinct ones).

The product of its digits is 279936, while the sum is 40.

The spelling of 34136663143 in words is "thirty-four billion, one hundred thirty-six million, six hundred sixty-three thousand, one hundred forty-three".

Divisors: 1 11 121 1123 12353 135883 251221 2763431 30397741 282121183 3103333013 34136663143