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32431444413423 = 31117217309266027
BaseRepresentation
bin1110101111111000010001…
…01110010100101111101111
311020211102020010022200112120
413113330020232110233233
513222324044232212143
6152550444435204023
76555044266036056
oct727741056245757
9136742203280476
1032431444413423
11a374109981470
123779521146613
13151336ca05b33
148019941db39d
153b3939ee3383
hex1d7f08b94bef

32431444413423 has 32 divisors (see below), whose sum is σ = 49948310603520. Its totient is φ = 18499064962560.

The previous prime is 32431444413421. The next prime is 32431444413449.

32431444413423 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32431444413423 - 21 = 32431444413421 is a prime.

It is a super-4 number, since 4×324314444134234 (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32431444413421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121777336 + ... + 122043362.

It is an arithmetic number, because the mean of its divisors is an integer number (1560884706360).

Almost surely, 232431444413423 is an apocalyptic number.

32431444413423 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32431444413423 is a deficient number, since it is larger than the sum of its proper divisors (17516866190097).

32431444413423 is a wasteful number, since it uses less digits than its factorization.

32431444413423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483367.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 3243144 and 4413423, that added together give a palindrome (7656567).

The spelling of 32431444413423 in words is "thirty-two trillion, four hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, four hundred twenty-three".

Divisors: 1 3 11 17 33 51 187 561 217309 266027 651927 798081 2390399 2926297 3694253 4522459 7171197 8778891 11082759 13567377 40636783 49747049 121910349 149241147 57810061343 173430184029 635910674773 982771042831 1907732024319 2948313128493 10810481471141 32431444413423