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44112111120 = 243257112927437
BaseRepresentation
bin101001000101010010…
…010110011000010000
311012212020201102111100
4221011102112120100
51210320200023440
632133111344400
73121065520650
oct510522263020
9135766642440
1044112111120
1117787155a90
128671082100
13420cc981cc
1421c6786360
151232a05230
hexa45496610

44112111120 has 480 divisors, whose sum is σ = 191073841920. Its totient is φ = 8849756160.

The previous prime is 44112111119. The next prime is 44112111133. The reversal of 44112111120 is 2111121144.

44112111120 is a `hidden beast` number, since 441 + 1 + 211 + 1 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44112111093 and 44112111102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1594042 + ... + 1621478.

It is an arithmetic number, because the mean of its divisors is an integer number (398070504).

Almost surely, 244112111120 is an apocalyptic number.

44112111120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44112111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95536920960).

44112111120 is an abundant number, since it is smaller than the sum of its proper divisors (146961730800).

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

44112111120 is a wasteful number, since it uses less digits than its factorization.

44112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27503 (or 27494 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 44112111120 its reverse (2111121144), we get a palindrome (46223232264).

The spelling of 44112111120 in words is "forty-four billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".