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14400441 = 3211145459
BaseRepresentation
bin110110111011…
…101110111001
31000002121200200
4312323232321
512141303231
61232352413
7233254536
oct66735671
930077620
1014400441
1181462a0
1249a5709
132ca2793
141cabd8d
1513e6be6
hexdbbbb9

14400441 has 12 divisors (see below), whose sum is σ = 22691760. Its totient is φ = 8727480.

The previous prime is 14400431. The next prime is 14400457.

14400441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14400441 - 25 = 14400409 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14400431) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 72631 + ... + 72828.

It is an arithmetic number, because the mean of its divisors is an integer number (1890980).

Almost surely, 214400441 is an apocalyptic number.

14400441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14400441 is a deficient number, since it is larger than the sum of its proper divisors (8291319).

14400441 is a wasteful number, since it uses less digits than its factorization.

14400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145476 (or 145473 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14400441 is about 3794.7912986092. The cubic root of 14400441 is about 243.2905633634.

It can be divided in two parts, 14400 and 441, that multiplied together give a square (6350400 = 25202).

The spelling of 14400441 in words is "fourteen million, four hundred thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 145459 436377 1309131 1600049 4800147 14400441