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404431343134403 = 13471016553634573
BaseRepresentation
bin101101111110101000000001…
…0100010110010011011000011
31222000222020222200011101110112
41123331100002202302123003
5411002200342320300103
63552053105533221535
7151121125463040164
oct13375200242623303
91860866880141415
10404431343134403
11107956407772422
12394396066318ab
13144889343a7ca0
1471c281d70376b
1531b52c24bbcd8
hex16fd4028b26c3

404431343134403 has 16 divisors (see below), whose sum is σ = 449212328240256. Its totient is φ = 361760628374400.

The previous prime is 404431343134391. The next prime is 404431343134459. The reversal of 404431343134403 is 304431343134404.

It is a cyclic number.

It is not a de Polignac number, because 404431343134403 - 24 = 404431343134387 is a prime.

It is a super-2 number, since 2×4044313431344032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404431343104403) 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 15 ways as a sum of consecutive naturals, for example, 3276755576 + ... + 3276878997.

It is an arithmetic number, because the mean of its divisors is an integer number (28075770515016).

Almost surely, 2404431343134403 is an apocalyptic number.

404431343134403 is a deficient number, since it is larger than the sum of its proper divisors (44780985105853).

404431343134403 is a wasteful number, since it uses less digits than its factorization.

404431343134403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553634734.

The product of its (nonzero) digits is 995328, while the sum is 41.

Adding to 404431343134403 its reverse (304431343134404), we get a palindrome (708862686268807).

Subtracting from 404431343134403 its reverse (304431343134404), we obtain a palindrome (99999999999999).

The spelling of 404431343134403 in words is "four hundred four trillion, four hundred thirty-one billion, three hundred forty-three million, one hundred thirty-four thousand, four hundred three".

Divisors: 1 13 47 101 611 1313 4747 61711 6553634573 85197249449 308020824931 661917091873 4004270724103 8604922194349 31110103318031 404431343134403