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444000440444 = 221112138318977
BaseRepresentation
bin1100111011000000111…
…11010001000001111100
31120110001011011100010012
412131200133101001330
524233303103043234
6535545422202352
744035513321331
oct6354037210174
91513034140105
10444000440444
11161332745570
1272072a233b8
1332b3b437912
14176bdb9a988
15b8396e10ce
hex67607d107c

444000440444 has 24 divisors (see below), whose sum is σ = 848336100528. Its totient is φ = 201651978240.

The previous prime is 444000440413. The next prime is 444000440467. The reversal of 444000440444 is 444044000444.

It is a super-2 number, since 2×4440004404442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444000440444.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4106117 + ... + 4212860.

It is an arithmetic number, because the mean of its divisors is an integer number (35347337522).

Almost surely, 2444000440444 is an apocalyptic number.

444000440444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444000440444 is a deficient number, since it is larger than the sum of its proper divisors (404335660084).

444000440444 is a wasteful number, since it uses less digits than its factorization.

444000440444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320205 (or 8320203 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 444000440444 its reverse (444044000444), we get a palindrome (888044440888).

Subtracting 444000440444 from its reverse (444044000444), we obtain a square (43560000 = 66002).

The spelling of 444000440444 in words is "four hundred forty-four billion, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 1213 2426 4852 13343 26686 53372 8318977 16637954 33275908 91508747 183017494 366034988 10090919101 20181838202 40363676404 111000110111 222000220222 444000440444