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444012444 = 223219649141
BaseRepresentation
bin11010011101110…
…001011110011100
31010221111011120100
4122131301132130
51402131344234
6112020421100
714001020631
oct3235613634
91127434510
10444012444
112086a7137
12104847790
1370cb1575
1442d80188
1528ea9399
hex1a77179c

444012444 has 36 divisors (see below), whose sum is σ = 1181438440. Its totient is φ = 140214240.

The previous prime is 444012433. The next prime is 444012449. The reversal of 444012444 is 444210444.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444012449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323887 + ... + 325254.

Almost surely, 2444012444 is an apocalyptic number.

It is an amenable number.

444012444 is an abundant number, since it is smaller than the sum of its proper divisors (737425996).

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

444012444 is a wasteful number, since it uses less digits than its factorization.

444012444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649170 (or 649165 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 444012444 is about 21071.6027866890. The cubic root of 444012444 is about 762.8954896830.

Adding to 444012444 its reverse (444210444), we get a palindrome (888222888).

The spelling of 444012444 in words is "four hundred forty-four million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 649141 1298282 1947423 2596564 3894846 5842269 7789692 11684538 12333679 23369076 24667358 37001037 49334716 74002074 111003111 148004148 222006222 444012444