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444400024642 = 2734326357283
BaseRepresentation
bin1100111011110000100…
…11100011110001000010
31120111002000001022120221
412131320103203301002
524240112401242032
6540053214453254
744051434612000
oct6357023436102
91514060038527
10444400024642
11161518257042
127216480422a
1332ba3161b82
141771ac93a70
15b85e821597
hex67784e3c42

444400024642 has 64 divisors (see below), whose sum is σ = 798493132800. Its totient is φ = 185317351632.

The previous prime is 444400024603. The next prime is 444400024661. The reversal of 444400024642 is 246420004444.

It is a junction number, because it is equal to n+sod(n) for n = 444400024598 and 444400024607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7729333 + ... + 7786615.

It is an arithmetic number, because the mean of its divisors is an integer number (12476455200).

Almost surely, 2444400024642 is an apocalyptic number.

444400024642 is a deficient number, since it is larger than the sum of its proper divisors (354093108158).

444400024642 is a wasteful number, since it uses less digits than its factorization.

444400024642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57612 (or 57598 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

The spelling of 444400024642 in words is "four hundred forty-four billion, four hundred million, twenty-four thousand, six hundred forty-two".

Divisors: 1 2 7 14 43 49 86 98 263 301 343 526 602 686 1841 2107 3682 4214 11309 12887 14749 22618 25774 29498 57283 79163 90209 114566 158326 180418 400981 554141 801962 1108282 2463169 2806867 3878987 4926338 5613734 7757974 15065429 17242183 19648069 30130858 34484366 39296138 105458003 120695281 210916006 241390562 647813447 738206021 844866967 1295626894 1476412042 1689733934 4534694129 5167442147 9069388258 10334884294 31742858903 63485717806 222200012321 444400024642