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440408000844 = 223271747650797
BaseRepresentation
bin1100110100010100101…
…11001100100101001100
31120002202210100111102200
412122022113030211030
524203423422011334
6534153131521500
743550502145440
oct6321227144514
91502683314380
10440408000844
1115a859920519
127142b8b9290
13326b80a3b06
141745ca18820
15b6c9124799
hex668a5cc94c

440408000844 has 36 divisors (see below), whose sum is σ = 1272289780944. Its totient is φ = 125830857312.

The previous prime is 440408000843. The next prime is 440408000863. The reversal of 440408000844 is 448000804044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 440408000799 and 440408000808.

It is not an unprimeable number, because it can be changed into a prime (440408000843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873825147 + ... + 873825650.

It is an arithmetic number, because the mean of its divisors is an integer number (35341382804).

Almost surely, 2440408000844 is an apocalyptic number.

It is an amenable number.

440408000844 is an abundant number, since it is smaller than the sum of its proper divisors (831881780100).

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

440408000844 is a wasteful number, since it uses less digits than its factorization.

440408000844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747650814 (or 1747650809 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 440408000844 its reverse (448000804044), we get a palindrome (888408804888).

The spelling of 440408000844 in words is "four hundred forty billion, four hundred eight million, eight hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1747650797 3495301594 5242952391 6990603188 10485904782 12233555579 15728857173 20971809564 24467111158 31457714346 36700666737 48934222316 62915428692 73401333474 110102000211 146802666948 220204000422 440408000844