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444231132433121 = 1123671331673001
BaseRepresentation
bin110010100000001101001111…
…0110110001100101011100001
32011020220002012102022222110102
41211000122132312030223201
5431211240324400324441
64212444544231312145
7162366432404202365
oct14500323666145341
92136802172288412
10444231132433121
111196004021a4300
12419a6b7751b655
13160b4a7bac0467
147b9ac89b312a5
1536557104e469b
hex194069ed8cae1

444231132433121 has 6 divisors (see below), whose sum is σ = 488287112509266. Its totient is φ = 403846484030000.

The previous prime is 444231132433111. The next prime is 444231132433211. The reversal of 444231132433121 is 121334231132444.

It can be written as a sum of positive squares in only one way, i.e., 250818139143121 + 193412993290000 = 15837239^2 + 13907300^2 .

It is not a de Polignac number, because 444231132433121 - 222 = 444231128238817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444231132433111) 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 5 ways as a sum of consecutive naturals, for example, 1835665836380 + ... + 1835665836621.

It is an arithmetic number, because the mean of its divisors is an integer number (81381185418211).

Almost surely, 2444231132433121 is an apocalyptic number.

It is an amenable number.

444231132433121 is a deficient number, since it is larger than the sum of its proper divisors (44055980076145).

444231132433121 is a wasteful number, since it uses less digits than its factorization.

444231132433121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671331673023 (or 3671331673012 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

Adding to 444231132433121 its reverse (121334231132444), we get a palindrome (565565363565565).

The spelling of 444231132433121 in words is "four hundred forty-four trillion, two hundred thirty-one billion, one hundred thirty-two million, four hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 11 121 3671331673001 40384648403011 444231132433121