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13044224322144 = 253245292445563
BaseRepresentation
bin1011110111010001100001…
…0110110110101001100000
31201012000102102100212100200
42331310120112312221200
53202204032411302034
643424233421145200
72514262016213241
oct275643026665140
951160372325320
1013044224322144
11417a02a627564
1215680843bb200
137380acc81182
143314b565acc8
1517949be54a99
hexbdd185b6a60

13044224322144 has 36 divisors (see below), whose sum is σ = 37094512916916. Its totient is φ = 4348074773952.

The previous prime is 13044224322131. The next prime is 13044224322187. The reversal of 13044224322144 is 44122342244031.

13044224322144 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 2 + 2 + 432 + 214 + 4 = 666.

13044224322144 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 (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13044224322099 and 13044224322108.

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, 22646222494 + ... + 22646223069.

It is an arithmetic number, because the mean of its divisors is an integer number (1030403136581).

Almost surely, 213044224322144 is an apocalyptic number.

It is an amenable number.

13044224322144 is an abundant number, since it is smaller than the sum of its proper divisors (24050288594772).

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

13044224322144 is a wasteful number, since it uses less digits than its factorization.

13044224322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45292445579 (or 45292445568 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 13044224322144 its reverse (44122342244031), we get a palindrome (57166566566175).

The spelling of 13044224322144 in words is "thirteen trillion, forty-four billion, two hundred twenty-four million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45292445563 90584891126 135877336689 181169782252 271754673378 362339564504 407632010067 543509346756 724679129008 815264020134 1087018693512 1449358258016 1630528040268 2174037387024 3261056080536 4348074774048 6522112161072 13044224322144