Search a number
-
+
34112466421143 = 3111757958803749
BaseRepresentation
bin1111100000110011011010…
…11100011000010110010111
311110210010020102210121112120
413300121231130120112113
513432344312400434033
6200315014542551023
710120354501246065
oct760315534302627
9143703212717476
1034112466421143
11a962019a91510
1239ab283b98473
131605a3a708076
1485d0a329d035
153e25246731b3
hex1f066d718597

34112466421143 has 16 divisors (see below), whose sum is σ = 49620956400000. Its totient is φ = 20673045646880.

The previous prime is 34112466421133. The next prime is 34112466421157.

34112466421143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34112466421143 - 26 = 34112466421079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34112466421095 and 34112466421104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112466421133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28821768 + ... + 29981981.

It is an arithmetic number, because the mean of its divisors is an integer number (3101309775000).

Almost surely, 234112466421143 is an apocalyptic number.

34112466421143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34112466421143 is a deficient number, since it is larger than the sum of its proper divisors (15508489978857).

34112466421143 is a wasteful number, since it uses less digits than its factorization.

34112466421143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58821342.

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 3411246 and 6421143, that added together give a palindrome (9832389).

The spelling of 34112466421143 in words is "thirty-four trillion, one hundred twelve billion, four hundred sixty-six million, four hundred twenty-one thousand, one hundred forty-three".

Divisors: 1 3 11 33 17579 52737 193369 580107 58803749 176411247 646841239 1940523717 1033711103671 3101133311013 11370822140381 34112466421143