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14145054141 = 3101167279541
BaseRepresentation
bin11010010110001110…
…00110010110111101
31100111210102012110010
431023013012112331
5212432113213031
610255333333433
71010345655621
oct151307062675
940453365403
1014145054141
115aa9572599
1228a9197279
13144569882a
14982875181
1557bc37246
hex34b1c65bd

14145054141 has 16 divisors (see below), whose sum is σ = 19160926848. Its totient is φ = 9280728000.

The previous prime is 14145054107. The next prime is 14145054163.

14145054141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14145054141 - 214 = 14145037757 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14145054099 and 14145054108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145054191) 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 15 ways as a sum of consecutive naturals, for example, 89170 + ... + 190371.

It is an arithmetic number, because the mean of its divisors is an integer number (1197557928).

Almost surely, 214145054141 is an apocalyptic number.

It is an amenable number.

14145054141 is a deficient number, since it is larger than the sum of its proper divisors (5015872707).

14145054141 is a wasteful number, since it uses less digits than its factorization.

14145054141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279812.

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 141450 and 54141, that added together give a palindrome (195591).

The spelling of 14145054141 in words is "fourteen billion, one hundred forty-five million, fifty-four thousand, one hundred forty-one".

Divisors: 1 3 101 167 303 501 16867 50601 279541 838623 28233641 46683347 84700923 140050041 4715018047 14145054141