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44402820444 = 22321233411679
BaseRepresentation
bin101001010110100111…
…010100010101011100
311020121111201222201100
4221112213110111130
51211414110223234
632222014313100
73131225514003
oct512647242534
9136544658640
1044402820444
1117916264224
1287324b8790
134258292268
14221321bc3a
15124d2cb399
hexa569d455c

44402820444 has 18 divisors (see below), whose sum is σ = 112240462880. Its totient is φ = 14800940136.

The previous prime is 44402820437. The next prime is 44402820463.

44402820444 is a `hidden beast` number, since 4 + 4 + 402 + 8 + 204 + 44 = 666.

44402820444 is nontrivially palindromic in base 10.

44402820444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×444028204442 (a number of 22 digits) contains 22 as substring.

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: 1233411679 = 44402820444 / (4 + 4 + 4 + 0 + 2 + 8 + 2 + 0 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 44402820399 and 44402820408.

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, 616705804 + ... + 616705875.

Almost surely, 244402820444 is an apocalyptic number.

It is an amenable number.

44402820444 is an abundant number, since it is smaller than the sum of its proper divisors (67837642436).

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

44402820444 is a wasteful number, since it uses less digits than its factorization.

44402820444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233411689 (or 1233411684 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 44402820444 in words is "forty-four billion, four hundred two million, eight hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1233411679 2466823358 3700235037 4933646716 7400470074 11100705111 14800940148 22201410222 44402820444