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441516610044 = 223212264350279
BaseRepresentation
bin1100110110011000111…
…00001101000111111100
31120012122001101200100200
412123030130031013330
524213211223010134
6534455133123500
743620123156306
oct6331434150774
91505561350320
10441516610044
11160278685a74
127169b029590
133283397a2a3
1417525d58976
15b74160b499
hex66cc70d1fc

441516610044 has 18 divisors (see below), whose sum is σ = 1116055875480. Its totient is φ = 147172203336.

The previous prime is 441516610037. The next prime is 441516610091. The reversal of 441516610044 is 440016615144.

441516610044 is a `hidden beast` number, since 4 + 41 + 516 + 61 + 0 + 0 + 44 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12264350279 = 441516610044 / (4 + 4 + 1 + 5 + 1 + 6 + 6 + 1 + 0 + 0 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 441516609990 and 441516610008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6132175104 + ... + 6132175175.

Almost surely, 2441516610044 is an apocalyptic number.

It is an amenable number.

441516610044 is an abundant number, since it is smaller than the sum of its proper divisors (674539265436).

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

441516610044 is a wasteful number, since it uses less digits than its factorization.

441516610044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12264350289 (or 12264350284 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 441516610044 in words is "four hundred forty-one billion, five hundred sixteen million, six hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 12264350279 24528700558 36793050837 49057401116 73586101674 110379152511 147172203348 220758305022 441516610044