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112444141320 = 233257129734403
BaseRepresentation
bin110100010111000110…
…0010110111100001000
3101202020102111012221200
41220232030112330020
53320241200010240
6123353420104200
711060320300620
oct1505614267410
9352212435850
10112444141320
1143761871715
1219961395060
13a7ac99c384
145629a53880
152dd198c930
hex1a2e316f08

112444141320 has 192 divisors, whose sum is σ = 417983829120. Its totient is φ = 25680955392.

The previous prime is 112444141309. The next prime is 112444141349. The reversal of 112444141320 is 23141444211.

112444141320 is a `hidden beast` number, since 1 + 1 + 244 + 4 + 1 + 413 + 2 + 0 = 666.

112444141320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3251239 + ... + 3285641.

It is an arithmetic number, because the mean of its divisors is an integer number (2176999110).

Almost surely, 2112444141320 is an apocalyptic number.

112444141320 is a gapful number since it is divisible by the number (10) 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 112444141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208991914560).

112444141320 is an abundant number, since it is smaller than the sum of its proper divisors (305539687800).

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

112444141320 is a wasteful number, since it uses less digits than its factorization.

112444141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35724 (or 35717 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 112444141320 its reverse (23141444211), we get a palindrome (135585585531).

The spelling of 112444141320 in words is "one hundred twelve billion, four hundred forty-four million, one hundred forty-one thousand, three hundred twenty".