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111438144 = 2632193469
BaseRepresentation
bin1101010010001…
…10100101000000
321202200122101200
412221012211000
5212012010034
615020301200
72522131356
oct651064500
9252618350
10111438144
11579a4144
12313a1800
131a119b3c
1410b2b7d6
159bb3a99
hex6a46940

111438144 has 42 divisors (see below), whose sum is σ = 319418970. Its totient is φ = 37145856.

The previous prime is 111438133. The next prime is 111438157. The reversal of 111438144 is 441834111.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 1440000 = 10488^2 + 1200^2 .

It is a nude number because it is divisible by every one of its digits.

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, 96159 + ... + 97310.

Almost surely, 2111438144 is an apocalyptic number.

It is an amenable number.

111438144 is an abundant number, since it is smaller than the sum of its proper divisors (207980826).

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

111438144 is a wasteful number, since it uses less digits than its factorization.

111438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193487 (or 193474 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 111438144 is about 10556.4266681486. The cubic root of 111438144 is about 481.2210578198.

The spelling of 111438144 in words is "one hundred eleven million, four hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 193469 386938 580407 773876 1160814 1547752 1741221 2321628 3095504 3482442 4643256 6191008 6964884 9286512 12382016 13929768 18573024 27859536 37146048 55719072 111438144