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34134511543143 = 3112251374639311
BaseRepresentation
bin1111100001011100011110…
…11011110110001101100111
311110212020010210120211202120
413300232033123312031213
513433224434423340033
6200333102250241023
710122065005554564
oct760561733661547
9143766123524676
1034134511543143
11a970401976a00
1239b35b6a26173
131607b419c805b
1486019502786b
153e2db4c161b3
hex1f0b8f6f6367

34134511543143 has 24 divisors (see below), whose sum is σ = 50225644723968. Its totient is φ = 20605162050000.

The previous prime is 34134511543141. The next prime is 34134511543151.

34134511543143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34134511543143 - 21 = 34134511543141 is a prime.

It is a super-2 number, since 2×341345115431432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34134511543095 and 34134511543104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134511543141) 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, 187228543 + ... + 187410768.

It is an arithmetic number, because the mean of its divisors is an integer number (2092735196832).

Almost surely, 234134511543143 is an apocalyptic number.

34134511543143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34134511543143 is a deficient number, since it is larger than the sum of its proper divisors (16091133180825).

34134511543143 is a wasteful number, since it uses less digits than its factorization.

34134511543143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374639587 (or 374639576 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 3413451 and 1543143, that added together give a palindrome (4956594).

The spelling of 34134511543143 in words is "thirty-four trillion, one hundred thirty-four billion, five hundred eleven million, five hundred forty-three thousand, one hundred forty-three".

Divisors: 1 3 11 33 121 251 363 753 2761 8283 30371 91113 374639311 1123917933 4121032421 12363097263 45331356631 94034467061 135994069893 282103401183 1034379137671 3103137413013 11378170514381 34134511543143