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14200406517 = 3112318709363
BaseRepresentation
bin11010011100110100…
…10000000111110101
31100122122120101122010
431032122100013311
5213040301002032
610305031554433
71011620315043
oct151632200765
940578511563
1014200406517
116027839660
12290382ba19
131453ca920b
14989d63393
15581a1cccc
hex34e6901f5

14200406517 has 16 divisors (see below), whose sum is σ = 21553187328. Its totient is φ = 8232119280.

The previous prime is 14200406513. The next prime is 14200406533. The reversal of 14200406517 is 71560400241.

14200406517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14200406517 - 22 = 14200406513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200406513) 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 15 ways as a sum of consecutive naturals, for example, 9353923 + ... + 9355440.

It is an arithmetic number, because the mean of its divisors is an integer number (1347074208).

Almost surely, 214200406517 is an apocalyptic number.

It is an amenable number.

14200406517 is a deficient number, since it is larger than the sum of its proper divisors (7352780811).

14200406517 is a wasteful number, since it uses less digits than its factorization.

14200406517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18709400.

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 14200406517 its reverse (71560400241), we get a palindrome (85760806758).

The spelling of 14200406517 in words is "fourteen billion, two hundred million, four hundred six thousand, five hundred seventeen".

Divisors: 1 3 11 23 33 69 253 759 18709363 56128089 205802993 430315349 617408979 1290946047 4733468839 14200406517