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34143634143 = 3231149821333
BaseRepresentation
bin11111110011000111…
…101000001011011111
310021010112021022211100
4133303013220023133
51024411232243033
623404012324143
72316053046603
oct376307501337
9107115238740
1034143634143
1113531211763
12674a773653
1332b1997018
14191c8ab503
15d4c7c2513
hex7f31e82df

34143634143 has 24 divisors (see below), whose sum is σ = 51251241600. Its totient is φ = 21880284480.

The previous prime is 34143634123. The next prime is 34143634181.

34143634143 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 3 + 634 + 14 + 3 = 666.

34143634143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34143634143 - 25 = 34143634111 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 34143634098 and 34143634107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143634103) 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, 369096 + ... + 452237.

It is an arithmetic number, because the mean of its divisors is an integer number (2135468400).

Almost surely, 234143634143 is an apocalyptic number.

34143634143 is a deficient number, since it is larger than the sum of its proper divisors (17107607457).

34143634143 is a wasteful number, since it uses less digits than its factorization.

34143634143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821519 (or 821516 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 34143634143 in words is "thirty-four billion, one hundred forty-three million, six hundred thirty-four thousand, one hundred forty-three".

Divisors: 1 3 9 31 93 149 279 447 1341 4619 13857 41571 821333 2463999 7391997 25461323 76383969 122378617 229151907 367135851 1101407553 3793737127 11381211381 34143634143