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111109942944 = 253372111318353
BaseRepresentation
bin110011101111010101…
…0110010111010100000
3101121210102221220212000
41213132222302322200
53310023121133234
6123013155404000
711012256634500
oct1473652627240
9347712856760
10111109942944
1143137736730
121964a5b3600
13a62944c490
14554078da00
152d54794899
hex19deab2ea0

111109942944 has 576 divisors, whose sum is σ = 442909918080. Its totient is φ = 26638295040.

The previous prime is 111109942907. The next prime is 111109942963. The reversal of 111109942944 is 449249901111.

111109942944 is a `hidden beast` number, since 111 + 109 + 9 + 429 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 111109942944.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6044872 + ... + 6063224.

It is an arithmetic number, because the mean of its divisors is an integer number (768940830).

Almost surely, 2111109942944 is an apocalyptic number.

111109942944 is a gapful number since it is divisible by the number (14) 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 111109942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221454959040).

111109942944 is an abundant number, since it is smaller than the sum of its proper divisors (331799975136).

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

111109942944 is a wasteful number, since it uses less digits than its factorization.

111109942944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18410 (or 18389 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 111109942944 in words is "one hundred eleven billion, one hundred nine million, nine hundred forty-two thousand, nine hundred forty-four".