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115314144 = 25311109199
BaseRepresentation
bin1101101111110…
…00110111100000
322000222120021020
412313320313200
5214010023034
615235325440
72600103561
oct667706740
9260876236
10115314144
115a101250
1232750880
131ab7612a
141145a168
15a1cc249
hex6df8de0

115314144 has 48 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 34943360.

The previous prime is 115314131. The next prime is 115314193. The reversal of 115314144 is 441413511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53544 + ... + 55655.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2115314144 is an apocalyptic number.

It is an amenable number.

115314144 is an abundant number, since it is smaller than the sum of its proper divisors (214906656).

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

115314144 is a wasteful number, since it uses less digits than its factorization.

115314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109223 (or 109215 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 115314144 is about 10738.4423451448. The cubic root of 115314144 is about 486.7368118904.

Adding to 115314144 its reverse (441413511), we get a palindrome (556727655).

The spelling of 115314144 in words is "one hundred fifteen million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 109199 218398 327597 436796 655194 873592 1201189 1310388 1747184 2402378 2620776 3494368 3603567 4804756 5241552 7207134 9609512 10483104 14414268 19219024 28828536 38438048 57657072 115314144