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34323144132343 = 1126946325053079
BaseRepresentation
bin1111100110111011110101…
…10100000100011011110111
311111112021000221002020011011
413303131322310010123313
513444322244344213333
6200555500145253051
710141523336245333
oct763357264043367
9144467027066134
1034323144132343
11aa33400073120
123a2407b634187
13161c873c4b941
1486936b5187c3
153e7c552239cd
hex1f377ad046f7

34323144132343 has 16 divisors (see below), whose sum is σ = 37663798348800. Its totient is φ = 31019719056480.

The previous prime is 34323144132287. The next prime is 34323144132461.

34323144132343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34323144132343 - 213 = 34323144124151 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34323144132296 and 34323144132305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34323144102343) 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, 11156523 + ... + 13896556.

It is an arithmetic number, because the mean of its divisors is an integer number (2353987396800).

Almost surely, 234323144132343 is an apocalyptic number.

34323144132343 is a deficient number, since it is larger than the sum of its proper divisors (3340654216457).

34323144132343 is a wasteful number, since it uses less digits than its factorization.

34323144132343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25053822.

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 3432314 and 4132343, that added together give a palindrome (7564657).

The spelling of 34323144132343 in words is "thirty-four trillion, three hundred twenty-three billion, one hundred forty-four million, one hundred thirty-two thousand, three hundred forty-three".

Divisors: 1 11 269 463 2959 5093 124547 1370017 25053079 275583869 6739278251 11599575577 74132060761 127595331347 3120285830213 34323144132343