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34143344334143 = 1147497271328077
BaseRepresentation
bin1111100001101100111011…
…11010010001010100111111
311110220001221101001010010222
413300312131322101110333
513433401032122143033
6200341122535451555
710122526621213052
oct760663572212477
9143801841033128
1034143344334143
11a974124841580
1239b5260b26bbb
13160891b9324c5
14860792154a99
153e32303b4598
hex1f0d9de9153f

34143344334143 has 16 divisors (see below), whose sum is σ = 38040573763584. Its totient is φ = 30378357300960.

The previous prime is 34143344334139. The next prime is 34143344334149.

34143344334143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34143344334143 - 22 = 34143344334139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34143344334094 and 34143344334103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143344334149) 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, 25044821 + ... + 26372897.

It is an arithmetic number, because the mean of its divisors is an integer number (2377535860224).

Almost surely, 234143344334143 is an apocalyptic number.

34143344334143 is a deficient number, since it is larger than the sum of its proper divisors (3897229429441).

34143344334143 is a wasteful number, since it uses less digits than its factorization.

34143344334143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377862.

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 3414334 and 4334143, that added together give a palindrome (7748477).

The spelling of 34143344334143 in words is "thirty-four trillion, one hundred forty-three billion, three hundred forty-four million, three hundred thirty-four thousand, one hundred forty-three".

Divisors: 1 11 47 517 49727 546997 1328077 2337169 14608847 25708859 62419619 686615809 66041284979 726454134769 3103940394013 34143344334143