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34434444443443 = 112431660283493
BaseRepresentation
bin1111101010001011001001…
…10101000011111100110011
311111220220022122020212000121
413311011210311003330303
514003133220234142233
6201122544305231111
710152543430263262
oct765054465037463
9144826278225017
1034434444443443
11aa76625203200
123a41761932497
13162a2009622a5
148708c92a05d9
153eaabb56d92d
hex1f5164d43f33

34434444443443 has 12 divisors (see below), whose sum is σ = 37937248431264. Its totient is φ = 31231409171600.

The previous prime is 34434444443417. The next prime is 34434444443459.

34434444443443 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34434444443443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34434444413443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330089596 + ... + 330193897.

It is an arithmetic number, because the mean of its divisors is an integer number (3161437369272).

Almost surely, 234434444443443 is an apocalyptic number.

34434444443443 is a deficient number, since it is larger than the sum of its proper divisors (3502803987821).

34434444443443 is a wasteful number, since it uses less digits than its factorization.

34434444443443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660283946 (or 660283935 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 52.

It can be divided in two parts, 3443444 and 4443443, that added together give a palindrome (7886887).

The spelling of 34434444443443 in words is "thirty-four trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred forty-three thousand, four hundred forty-three".

Divisors: 1 11 121 431 4741 52151 660283493 7263118423 79894302653 284582185483 3130404040313 34434444443443