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12433444433421 = 3113157112128157
BaseRepresentation
bin1011010011101110001100…
…0010011110111000001101
31122000121220010020201112120
42310323203002132320031
53112202143233332141
642235502344323153
72422200225631224
oct264734302367015
948017803221476
1012433444433421
113a63aa3275020
1214898274734b9
136c2612ba55ab
1430dad3841cbb
15168650a25c66
hexb4ee309ee0d

12433444433421 has 32 divisors (see below), whose sum is σ = 18671675129856. Its totient is φ = 7291062456000.

The previous prime is 12433444433401. The next prime is 12433444433429.

12433444433421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12433444433421 - 215 = 12433444400653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433444433429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4778275 + ... + 6906431.

It is an arithmetic number, because the mean of its divisors is an integer number (583489847808).

Almost surely, 212433444433421 is an apocalyptic number.

12433444433421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12433444433421 is a deficient number, since it is larger than the sum of its proper divisors (6238230696435).

12433444433421 is a wasteful number, since it uses less digits than its factorization.

12433444433421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133913.

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

It can be divided in two parts, 1243344 and 4433421, that added together give a palindrome (5676765).

The spelling of 12433444433421 in words is "twelve trillion, four hundred thirty-three billion, four hundred forty-four million, four hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 11 31 33 93 341 1023 5711 17133 62821 177041 188463 531123 1947451 2128157 5842353 6384471 23409727 65972867 70229181 197918601 725701537 2177104611 12153904627 36461713881 133692950897 376771043437 401078852691 1130313130311 4144481477807 12433444433421