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31344044313 = 334367304013
BaseRepresentation
bin11101001100010000…
…000010100100011001
32222220102100102120010
4131030100002210121
51003143033404223
622222123352133
72156506660251
oct351420024431
988812312503
1031344044313
111232499445a
1260a9082649
132c569816aa
141734b52961
15c36b19393
hex74c402919

31344044313 has 8 divisors (see below), whose sum is σ = 41793412608. Its totient is φ = 20895352784.

The previous prime is 31344044311. The next prime is 31344044327.

31344044313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31344044313 - 21 = 31344044311 is a prime.

It is a super-2 number, since 2×313440443132 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31344044311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48906 + ... + 255107.

It is an arithmetic number, because the mean of its divisors is an integer number (5224176576).

Almost surely, 231344044313 is an apocalyptic number.

It is an amenable number.

31344044313 is a deficient number, since it is larger than the sum of its proper divisors (10449368295).

31344044313 is a wasteful number, since it uses less digits than its factorization.

31344044313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338383.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 313440 and 44313, that added together give a palindrome (357753).

The spelling of 31344044313 in words is "thirty-one billion, three hundred forty-four million, forty-four thousand, three hundred thirteen".

Divisors: 1 3 34367 103101 304013 912039 10448014771 31344044313