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13444444431 = 3211237333667
BaseRepresentation
bin11001000010101100…
…11111000100001111
31021200222002112121100
430201112133010033
5210013234210211
610102025034143
7654110614665
oct144126370417
937628075540
1013444444431
11577a047100
122732625953
1313634a4a82
149177bcc35
1553a494156
hex32159f10f

13444444431 has 36 divisors (see below), whose sum is σ = 21922654936. Its totient is φ = 7927904160.

The previous prime is 13444444421. The next prime is 13444444463.

13444444431 is a `hidden beast` number, since 134 + 44 + 44 + 443 + 1 = 666.

13444444431 is nontrivially palindromic in base 10.

13444444431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13444444431 - 26 = 13444444367 is a prime.

It is a super-2 number, since 2×134444444312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444444421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126541 + ... + 207126.

Almost surely, 213444444431 is an apocalyptic number.

13444444431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13444444431 is a deficient number, since it is larger than the sum of its proper divisors (8478210505).

13444444431 is a wasteful number, since it uses less digits than its factorization.

13444444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333732 (or 333718 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 13 and 444444431, that added together give a palindrome (444444444).

The spelling of 13444444431 in words is "thirteen billion, four hundred forty-four million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 333667 1001001 3003003 3670337 11011011 12345679 33033033 37037037 40373707 111111111 121121121 135802469 363363363 407407407 1222222221 1493827159 4481481477 13444444431