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34105633650143 = 116150828068033
BaseRepresentation
bin1111100000100110101100…
…01011011011010111011111
311110202110121020201212210222
413300103112023123113133
513432241314203301033
6200311524540551555
710120023252534656
oct760232613332737
9143673536655728
1034105633650143
11a95a133077530
1239a9a978525bb
1316051bbc540c3
1485ca15a3419d
153e227488d598
hex1f04d62db5df

34105633650143 has 8 divisors (see below), whose sum is σ = 37816082617296. Its totient is φ = 30496840819200.

The previous prime is 34105633650089. The next prime is 34105633650199.

It is a happy number.

34105633650143 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34105633650143 - 214 = 34105633633759 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34105633650094 and 34105633650103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105633659143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25414033346 + ... + 25414034687.

It is an arithmetic number, because the mean of its divisors is an integer number (4727010327162).

Almost surely, 234105633650143 is an apocalyptic number.

34105633650143 is a deficient number, since it is larger than the sum of its proper divisors (3710448967153).

34105633650143 is a wasteful number, since it uses less digits than its factorization.

34105633650143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50828068105.

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 34105633650143 in words is "thirty-four trillion, one hundred five billion, six hundred thirty-three million, six hundred fifty thousand, one hundred forty-three".

Divisors: 1 11 61 671 50828068033 559108748363 3100512150013 34105633650143