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14120135200 = 255217650169
BaseRepresentation
bin11010010011010000…
…00010101000100000
31100110001112012002101
431021220002220200
5212404223311300
610253043300144
71006624111633
oct151150025040
940401465071
1014120135200
115a964a2626
1228a097a654
1314404824b2
1497d429c1a
15579963b6a
hex349a02a20

14120135200 has 36 divisors (see below), whose sum is σ = 34470782010. Its totient is φ = 5648053760.

The previous prime is 14120135149. The next prime is 14120135203. The reversal of 14120135200 is 253102141.

It can be written as a sum of positive squares in 3 ways, for example, as 13026113424 + 1094021776 = 114132^2 + 33076^2 .

It is not an unprimeable number, because it can be changed into a prime (14120135203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8824285 + ... + 8825884.

Almost surely, 214120135200 is an apocalyptic number.

14120135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14120135200 is an abundant number, since it is smaller than the sum of its proper divisors (20350646810).

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

14120135200 is a wasteful number, since it uses less digits than its factorization.

14120135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17650189 (or 17650176 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 14120135200 its reverse (253102141), we get a palindrome (14373237341).

The spelling of 14120135200 in words is "fourteen billion, one hundred twenty million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 17650169 35300338 70600676 88250845 141201352 176501690 282402704 353003380 441254225 564805408 706006760 882508450 1412013520 1765016900 2824027040 3530033800 7060067600 14120135200