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114078944 = 257509281
BaseRepresentation
bin1101100110010…
…11010011100000
321221122210220002
412303023103200
5213201011234
615153035132
72553440450
oct663132340
9257583802
10114078944
1159438221
1232255aa8
131a832b45
1411217d60
15a03627e
hex6ccb4e0

114078944 has 24 divisors (see below), whose sum is σ = 256678128. Its totient is φ = 48890880.

The previous prime is 114078931. The next prime is 114078947. The reversal of 114078944 is 449870411.

It is a junction number, because it is equal to n+sod(n) for n = 114078898 and 114078907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114078947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254417 + ... + 254864.

It is an arithmetic number, because the mean of its divisors is an integer number (10694922).

Almost surely, 2114078944 is an apocalyptic number.

114078944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114078944 is an abundant number, since it is smaller than the sum of its proper divisors (142599184).

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

114078944 is an equidigital number, since it uses as much as digits as its factorization.

114078944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509298 (or 509290 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 114078944 is about 10680.7745037521. The cubic root of 114078944 is about 484.9926579822.

The spelling of 114078944 in words is "one hundred fourteen million, seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 509281 1018562 2037124 3564967 4074248 7129934 8148496 14259868 16296992 28519736 57039472 114078944