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34131055013143 = 1116718579779539
BaseRepresentation
bin1111100001010110000010…
…11010001110110100010111
311110211220012220111220222221
413300223001122032310113
513433200400040410033
6200331331253003211
710121613234544624
oct760530132166427
9143756186456887
1034131055013143
11a96999883a840
1239b29b1323507
13160771086b82a
1485dd47d4334b
153e2c6154412d
hex1f0ac168ed17

34131055013143 has 8 divisors (see below), whose sum is σ = 37456835552640. Its totient is φ = 30842434033080.

The previous prime is 34131055013093. The next prime is 34131055013147.

34131055013143 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 34131055013143 - 221 = 34131052915991 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34131055013099 and 34131055013108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131055013147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9289887933 + ... + 9289891606.

It is an arithmetic number, because the mean of its divisors is an integer number (4682104444080).

Almost surely, 234131055013143 is an apocalyptic number.

34131055013143 is a deficient number, since it is larger than the sum of its proper divisors (3325780539497).

34131055013143 is a wasteful number, since it uses less digits than its factorization.

34131055013143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18579779717.

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 3413105 and 5013143, that added together give a palindrome (8426248).

The spelling of 34131055013143 in words is "thirty-four trillion, one hundred thirty-one billion, fifty-five million, thirteen thousand, one hundred forty-three".

Divisors: 1 11 167 1837 18579779539 204377574929 3102823183013 34131055013143