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344313444013 = 711210314712683
BaseRepresentation
bin1010000001010101010…
…11100011011010101101
31012220201210111020001021
411000222223203122231
521120123220202023
6422101520014141
733606256661560
oct5005253433255
91186653436037
10344313444013
11123027a65700
1256891a61351
13266127299b6
14129445364d7
158e52bd335d
hex502aae36ad

344313444013 has 48 divisors (see below), whose sum is σ = 437185036288. Its totient is φ = 265411792800.

The previous prime is 344313444011. The next prime is 344313444053. The reversal of 344313444013 is 310444313443.

It is not a de Polignac number, because 344313444013 - 21 = 344313444011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344313444013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344313444011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128330170 + ... + 128332852.

Almost surely, 2344313444013 is an apocalyptic number.

It is an amenable number.

344313444013 is a deficient number, since it is larger than the sum of its proper divisors (92871592275).

344313444013 is a wasteful number, since it uses less digits than its factorization.

344313444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4275 counting only the distinct ones).

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

Adding to 344313444013 its reverse (310444313443), we get a palindrome (654757757456).

The spelling of 344313444013 in words is "three hundred forty-four billion, three hundred thirteen million, four hundred forty-four thousand, thirteen".

Divisors: 1 7 11 77 103 121 721 847 1133 1471 2683 7931 10297 12463 16181 18781 29513 87241 113267 151513 177991 206591 276349 324643 1060591 1245937 1666643 1934443 2272501 3039839 3946693 11666501 18333073 21278873 27626851 33438229 43413623 128331511 234067603 303895361 406509379 477549853 2845565653 3342848971 4471603169 31301222183 49187634859 344313444013