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444302363203444 = 221011099758324761
BaseRepresentation
bin110010100000101110011010…
…0100010000001011101110100
32011021010220001121121000211001
41211001130310202001131310
5431213422214440002234
64212541404330053044
7162404533514564614
oct14501346442013564
92137126047530731
10444302363203444
111196286350a9329
12419b893657a184
13160bb6c1213a75
147ba04c5da6a44
1536574cdbbcd14
hex1941734881774

444302363203444 has 12 divisors (see below), whose sum is σ = 785227443880068. Its totient is φ = 219951664952000.

The previous prime is 444302363203261. The next prime is 444302363203481.

It is a happy number.

444302363203444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 372953730240100 + 71348632963344 = 19312010^2 + 8446812^2 .

It is a super-2 number, since 2×4443023632034442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444302363203394 and 444302363203403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 549879161977 + ... + 549879162784.

It is an arithmetic number, because the mean of its divisors is an integer number (65435620323339).

Almost surely, 2444302363203444 is an apocalyptic number.

It is an amenable number.

444302363203444 is a deficient number, since it is larger than the sum of its proper divisors (340925080676624).

444302363203444 is a wasteful number, since it uses less digits than its factorization.

444302363203444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099758324866 (or 1099758324864 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 46.

It can be divided in two parts, 44430236 and 3203444, that added together give a triangular number (47633680 = T9760).

The spelling of 444302363203444 in words is "four hundred forty-four trillion, three hundred two billion, three hundred sixty-three million, two hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 101 202 404 1099758324761 2199516649522 4399033299044 111075590800861 222151181601722 444302363203444