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442334444433244 = 221126713640509573
BaseRepresentation
bin110010010010011010000001…
…1011011101010111101011100
32011000011202111222020111210021
41210210310003123222331130
5430434201420233330434
64204433345525121524
7162112415613205006
oct14444640333527534
92130152458214707
10442334444433244
11118a39a9127a300
124173b4665592a4
1315ca7c6128cc0c
147b3315c123376
1536212023c4cb4
hex1924d036eaf5c

442334444433244 has 36 divisors (see below), whose sum is σ = 863553380110792. Its totient is φ = 198060198985440.

The previous prime is 442334444433229. The next prime is 442334444433247.

It is a happy number.

442334444433244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442334444433191 and 442334444433200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442334444433247) 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, 6820222359 + ... + 6820287214.

Almost surely, 2442334444433244 is an apocalyptic number.

442334444433244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442334444433244 is a deficient number, since it is larger than the sum of its proper divisors (421218935677548).

442334444433244 is a wasteful number, since it uses less digits than its factorization.

442334444433244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640509666 (or 13640509653 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 52.

The spelling of 442334444433244 in words is "four hundred forty-two trillion, three hundred thirty-four billion, four hundred forty-four million, four hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 67 121 134 242 268 484 737 1474 2948 8107 16214 32428 13640509573 27281019146 54562038292 150045605303 300091210606 600182421212 913914141391 1650501658333 1827828282782 3301003316666 3655656565564 6602006633332 10053055555301 20106111110602 40212222221204 110583611108311 221167222216622 442334444433244