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14101414120 = 235352535353
BaseRepresentation
bin11010010001000001…
…01000000011101000
31100101202022001121001
431020200220003220
5212334430222440
610251134124344
71006306020343
oct151040500350
940352261531
1014101414120
115a86976162
1228966506b4
131439629231
1497ab5545a
15577eb6b9a
hex3488280e8

14101414120 has 16 divisors (see below), whose sum is σ = 31728181860. Its totient is φ = 5640565632.

The previous prime is 14101414097. The next prime is 14101414123. The reversal of 14101414120 is 2141410141.

It can be written as a sum of positive squares in 2 ways, for example, as 14090164804 + 11249316 = 118702^2 + 3354^2 .

It is not an unprimeable number, because it can be changed into a prime (14101414123) 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 3 ways as a sum of consecutive naturals, for example, 176267637 + ... + 176267716.

Almost surely, 214101414120 is an apocalyptic number.

14101414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14101414120 is an abundant number, since it is smaller than the sum of its proper divisors (17626767740).

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

14101414120 is a wasteful number, since it uses less digits than its factorization.

14101414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352535364 (or 352535360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 14101414120 its reverse (2141410141), we get a palindrome (16242824261).

The spelling of 14101414120 in words is "fourteen billion, one hundred one million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 352535353 705070706 1410141412 1762676765 2820282824 3525353530 7050707060 14101414120