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14191310241 = 34428940849
BaseRepresentation
bin11010011011101111…
…00011010110100001
31100122000110020220000
431031313203112201
5213030433411431
610304105010213
71011450101223
oct151567432641
940560406800
1014191310241
116022696479
122900783969
131452142ac4
14988a76413
15580d229e6
hex34dde35a1

14191310241 has 20 divisors (see below), whose sum is σ = 21204826500. Its totient is φ = 9458436096.

The previous prime is 14191310173. The next prime is 14191310261. The reversal of 14191310241 is 14201319141.

14191310241 is a `hidden beast` number, since 1 + 419 + 1 + 3 + 1 + 0 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11790702225 + 2400608016 = 108585^2 + 48996^2 .

It is not a de Polignac number, because 14191310241 - 211 = 14191308193 is a prime.

It is a super-2 number, since 2×141913102412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14191310261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 326985 + ... + 367833.

It is an arithmetic number, because the mean of its divisors is an integer number (1060241325).

Almost surely, 214191310241 is an apocalyptic number.

It is an amenable number.

14191310241 is a deficient number, since it is larger than the sum of its proper divisors (7013516259).

14191310241 is an equidigital number, since it uses as much as digits as its factorization.

14191310241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45150 (or 45141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 14191310241 its reverse (14201319141), we get a palindrome (28392629382).

The spelling of 14191310241 in words is "fourteen billion, one hundred ninety-one million, three hundred ten thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 4289 12867 38601 40849 115803 122547 347409 367641 1102923 3308769 175201361 525604083 1576812249 4730436747 14191310241