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442024044444 = 223212278445679
BaseRepresentation
bin1100110111010101010…
…11111010011110011100
31120020221102020000111100
412123222223322132130
524220231123410234
6535021341153100
743635524246013
oct6335253723634
91506842200440
10442024044444
1116050905aa44
1271800b5b790
13328b4b36228
14175734c7a7a
15b770e42399
hex66eaafa79c

442024044444 has 18 divisors (see below), whose sum is σ = 1117338556880. Its totient is φ = 147341348136.

The previous prime is 442024044437. The next prime is 442024044479. The reversal of 442024044444 is 444440420244.

442024044444 is a `hidden beast` number, since 4 + 4 + 202 + 4 + 0 + 4 + 4 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12278445679 = 442024044444 / (4 + 4 + 2 + 0 + 2 + 4 + 0 + 4 + 4 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 442024044399 and 442024044408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6139222804 + ... + 6139222875.

Almost surely, 2442024044444 is an apocalyptic number.

It is an amenable number.

442024044444 is an abundant number, since it is smaller than the sum of its proper divisors (675314512436).

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

442024044444 is a wasteful number, since it uses less digits than its factorization.

442024044444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12278445689 (or 12278445684 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 442024044444 its reverse (444440420244), we get a palindrome (886464464688).

The spelling of 442024044444 in words is "four hundred forty-two billion, twenty-four million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 12278445679 24556891358 36835337037 49113782716 73670674074 110506011111 147341348148 221012022222 442024044444