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444210040012444 = 2229101304491245191
BaseRepresentation
bin110010100000000011011010…
…1101000111111111010011100
32011020211001202110012222202121
41211000012311220333322130
5431210414130220344234
64212431135235432324
7162365054615450506
oct14500066550777234
92136731673188677
10444210040012444
111195a2469067482
12419a2a6b7556a4
13160b2a99cb9974
147b99c48720d76
153654dc88dd4b4
hex19401b5a3fe9c

444210040012444 has 48 divisors (see below), whose sum is σ = 812162784888000. Its totient is φ = 212315852672000.

The previous prime is 444210040012439. The next prime is 444210040012447.

444210040012444 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444210040012447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356117889 + ... + 357363079.

It is an arithmetic number, because the mean of its divisors is an integer number (16920058018500).

Almost surely, 2444210040012444 is an apocalyptic number.

It is an amenable number.

444210040012444 is a deficient number, since it is larger than the sum of its proper divisors (367952744875556).

444210040012444 is a wasteful number, since it uses less digits than its factorization.

444210040012444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275774 (or 1275772 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

The spelling of 444210040012444 in words is "four hundred forty-four trillion, two hundred ten billion, forty million, twelve thousand, four hundred forty-four".

Divisors: 1 2 4 29 58 101 116 202 404 2929 5858 11716 30449 60898 121796 883021 1245191 1766042 2490382 3075349 3532084 4980764 6150698 12301396 36110539 72221078 89185121 125764291 144442156 178370242 251528582 356740484 503057164 3647164439 7294328878 14588657756 37914820759 75829641518 151659283036 1099529802011 2199059604022 3829396896659 4398119208044 7658793793318 15317587586636 111052510003111 222105020006222 444210040012444