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31344444313 = 721349206349
BaseRepresentation
bin11101001100010001…
…100100001110011001
32222220110002202020221
4131030101210032121
51003143134204223
622222140120041
72156513244400
oct351421441631
988813082227
1031344444313
1112325137a36
1260a9236021
132c56a91790
141734c18637
15c36b97b5d
hex74c464399

31344444313 has 12 divisors (see below), whose sum is σ = 39266667300. Its totient is φ = 24799999392.

The previous prime is 31344444301. The next prime is 31344444323.

31344444313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6957561744 + 24386882569 = 83412^2 + 156163^2 .

It is a de Polignac number, because none of the positive numbers 2k-31344444313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31344444323) 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, 24602538 + ... + 24603811.

It is an arithmetic number, because the mean of its divisors is an integer number (3272222275).

Almost surely, 231344444313 is an apocalyptic number.

It is an amenable number.

31344444313 is a deficient number, since it is larger than the sum of its proper divisors (7922222987).

31344444313 is a wasteful number, since it uses less digits than its factorization.

31344444313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49206376 (or 49206369 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

The spelling of 31344444313 in words is "thirty-one billion, three hundred forty-four million, four hundred forty-four thousand, three hundred thirteen".

Divisors: 1 7 13 49 91 637 49206349 344444443 639682537 2411111101 4477777759 31344444313