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111444332040 = 233251941401991
BaseRepresentation
bin110011111001010011…
…0011000111000001000
3101122122202011122110100
41213302212120320020
53311214222111130
6123110302445400
711023460123016
oct1476246307010
9348582148410
10111444332040
1143299469158
1219722593860
13a6807cac52
145572d558b6
152d73ce7c60
hex19f2998e08

111444332040 has 384 divisors, whose sum is σ = 391924915200. Its totient is φ = 27371520000.

The previous prime is 111444332039. The next prime is 111444332053. The reversal of 111444332040 is 40233444111.

111444332040 is a `hidden beast` number, since 1 + 1 + 14 + 443 + 3 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 111444331995 and 111444332013.

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 95 ways as a sum of consecutive naturals, for example, 112455945 + ... + 112456935.

It is an arithmetic number, because the mean of its divisors is an integer number (1020637800).

Almost surely, 2111444332040 is an apocalyptic number.

111444332040 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 111444332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195962457600).

111444332040 is an abundant number, since it is smaller than the sum of its proper divisors (280480583160).

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

111444332040 is a wasteful number, since it uses less digits than its factorization.

111444332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 111444332040 its reverse (40233444111), we get a palindrome (151677776151).

The spelling of 111444332040 in words is "one hundred eleven billion, four hundred forty-four million, three hundred thirty-two thousand, forty".