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44052625044 = 22322942196001
BaseRepresentation
bin101001000001101111…
…011011011010010100
311012201002210012221100
4221001233123122110
51210204433000134
632123144350100
73116444064111
oct510157333224
9135632705840
1044052625044
111775661623a
128655175330
13420086b14c
1421bc8dd908
15122c6a4999
hexa41bdb694

44052625044 has 36 divisors (see below), whose sum is σ = 115195085460. Its totient is φ = 14177856000.

The previous prime is 44052625037. The next prime is 44052625081.

44052625044 is a `hidden beast` number, since 4 + 40 + 52 + 62 + 504 + 4 = 666.

44052625044 is nontrivially palindromic in base 10.

44052625044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21240147600 + 22812477444 = 145740^2 + 151038^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21096957 + ... + 21099044.

It is an arithmetic number, because the mean of its divisors is an integer number (3199863485).

Almost surely, 244052625044 is an apocalyptic number.

It is an amenable number.

44052625044 is an abundant number, since it is smaller than the sum of its proper divisors (71142460416).

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

44052625044 is a wasteful number, since it uses less digits than its factorization.

44052625044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42196040 (or 42196035 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 44052625044 in words is "forty-four billion, fifty-two million, six hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 42196001 84392002 126588003 168784004 253176006 379764009 506352012 759528018 1223684029 1519056036 2447368058 3671052087 4894736116 7342104174 11013156261 14684208348 22026312522 44052625044