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4144400244 = 2232115122229
BaseRepresentation
bin1111011100000110…
…1000011101110100
3101200211102100100100
43313001220131310
531441431301434
61523124514100
7204462551355
oct36701503564
911624370310
104144400244
111837451276
12977b4b930
1351080c84a
142b45c1d2c
15193c9a699
hexf7068774

4144400244 has 18 divisors (see below), whose sum is σ = 10476122930. Its totient is φ = 1381466736.

The previous prime is 4144400203. The next prime is 4144400269. The reversal of 4144400244 is 4420044414.

4144400244 is a `hidden beast` number, since 4 + 14 + 4 + 400 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2622464100 + 1521936144 = 51210^2 + 39012^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 57561079 + ... + 57561150.

Almost surely, 24144400244 is an apocalyptic number.

It is an amenable number.

4144400244 is an abundant number, since it is smaller than the sum of its proper divisors (6331722686).

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

4144400244 is a wasteful number, since it uses less digits than its factorization.

4144400244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115122239 (or 115122234 counting only the distinct ones).

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

The square root of 4144400244 is about 64377.0164266720. The cubic root of 4144400244 is about 1606.2774538773.

Adding to 4144400244 its reverse (4420044414), we get a palindrome (8564444658).

The spelling of 4144400244 in words is "four billion, one hundred forty-four million, four hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 115122229 230244458 345366687 460488916 690733374 1036100061 1381466748 2072200122 4144400244