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444403130334340 = 22538215815272577
BaseRepresentation
bin110010100001011101010101…
…0101110000111110010000100
32011021111112011020201122211011
41211002322222232013302010
5431222100102331144330
64213055551335252004
7162415031565221422
oct14502725256076204
92137445136648734
10444403130334340
11119667344565201
1241a1437921a004
13160c805c9384c8
147ba5324c78112
153659e2a43a82a
hex1942eaab87c84

444403130334340 has 24 divisors (see below), whose sum is σ = 933490815310872. Its totient is φ = 177714729922560.

The previous prime is 444403130334257. The next prime is 444403130334341. The reversal of 444403130334340 is 43433031304444.

It can be written as a sum of positive squares in 4 ways, for example, as 220859486040964 + 223543644293376 = 14861342^2 + 14951376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444403130334293 and 444403130334302.

It is not an unprimeable number, because it can be changed into a prime (444403130334341) 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 7 ways as a sum of consecutive naturals, for example, 2907559869 + ... + 2907712708.

It is an arithmetic number, because the mean of its divisors is an integer number (38895450637953).

Almost surely, 2444403130334340 is an apocalyptic number.

It is an amenable number.

444403130334340 is an abundant number, since it is smaller than the sum of its proper divisors (489087684976532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444403130334340 is a wasteful number, since it uses less digits than its factorization.

444403130334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815276407 (or 5815276405 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 444403130334340 its reverse (43433031304444), we get a palindrome (487836161638784).

The spelling of 444403130334340 in words is "four hundred forty-four trillion, four hundred three billion, one hundred thirty million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 3821 7642 15284 19105 38210 76420 5815272577 11630545154 23261090308 29076362885 58152725770 116305451540 22220156516717 44440313033434 88880626066868 111100782583585 222201565167170 444403130334340