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14057424101 = 753217917389
BaseRepresentation
bin11010001011110001…
…10100010011100101
31100021200112010122002
431011320310103211
5212242200032401
610242523215045
71005233063510
oct150570642345
940250463562
1014057424101
115a6405a876
122883977485
131430496536
14974d83d77
155741c7a6b
hex345e344e5

14057424101 has 16 divisors (see below), whose sum is σ = 16377206400. Its totient is φ = 11815771968.

The previous prime is 14057424071. The next prime is 14057424109. The reversal of 14057424101 is 10142475041.

It is a happy number.

14057424101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-14057424101 is a prime.

It is a super-3 number, since 3×140574241013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057424109) 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, 799715 + ... + 817103.

It is an arithmetic number, because the mean of its divisors is an integer number (1023575400).

Almost surely, 214057424101 is an apocalyptic number.

It is an amenable number.

14057424101 is a deficient number, since it is larger than the sum of its proper divisors (2319782299).

14057424101 is a wasteful number, since it uses less digits than its factorization.

14057424101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19628.

The product of its (nonzero) digits is 4480, while the sum is 29.

Adding to 14057424101 its reverse (10142475041), we get a palindrome (24199899142).

The spelling of 14057424101 in words is "fourteen billion, fifty-seven million, four hundred twenty-four thousand, one hundred one".

Divisors: 1 7 53 371 2179 15253 17389 115487 121723 808409 921617 6451319 37890631 265234417 2008203443 14057424101