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40443434404 = 2253317601801
BaseRepresentation
bin100101101010100111…
…011101010110100100
310212101120110100010221
4211222213131112210
51130312004400104
630325055054124
72631140343322
oct455247352644
9125346410127
1040443434404
111617429a95a
127a08511344
133a76bc0999
141d5943ad12
1510ba8c9c54
hex96a9dd5a4

40443434404 has 24 divisors (see below), whose sum is σ = 72339007608. Its totient is φ = 19777555200.

The previous prime is 40443434399. The next prime is 40443434407.

It is a happy number.

40443434404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2729017600 + 37714416804 = 52240^2 + 194202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40443434404.

It is not an unprimeable number, because it can be changed into a prime (40443434407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233697 + ... + 368104.

It is an arithmetic number, because the mean of its divisors is an integer number (3014125317).

Almost surely, 240443434404 is an apocalyptic number.

It is an amenable number.

40443434404 is a deficient number, since it is larger than the sum of its proper divisors (31895573204).

40443434404 is a wasteful number, since it uses less digits than its factorization.

40443434404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602175 (or 602173 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

The spelling of 40443434404 in words is "forty billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred four".

Divisors: 1 2 4 53 106 212 317 634 1268 16801 33602 67204 601801 1203602 2407204 31895453 63790906 127581812 190770917 381541834 763083668 10110858601 20221717202 40443434404