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14213633631241 = 1129731374455239
BaseRepresentation
bin1100111011010101111010…
…0101010110010000001001
31212022210212120021212101011
43032311132211112100021
53330334010202144431
650121353025123521
72664621043302442
oct316653645262011
955283776255334
1014213633631241
11458aa716aa820
1217168451895a1
137c14559b7435
14371d2d0d82c9
15199ae1236cb1
hexced5e956409

14213633631241 has 32 divisors (see below), whose sum is σ = 16378887916800. Its totient is φ = 12215193338880.

The previous prime is 14213633631227. The next prime is 14213633631259.

14213633631241 is nontrivially palindromic in base 10.

14213633631241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14213633631241 - 235 = 14179273892873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14213633631194 and 14213633631203.

It is not an unprimeable number, because it can be changed into a prime (14213633131241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962700 + ... + 5417938.

It is an arithmetic number, because the mean of its divisors is an integer number (511840247400).

Almost surely, 214213633631241 is an apocalyptic number.

14213633631241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14213633631241 is a deficient number, since it is larger than the sum of its proper divisors (2165254285559).

14213633631241 is a wasteful number, since it uses less digits than its factorization.

14213633631241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455489.

The product of its digits is 186624, while the sum is 40.

The spelling of 14213633631241 in words is "fourteen trillion, two hundred thirteen billion, six hundred thirty-three million, six hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 11 29 73 137 319 803 1507 2117 3973 10001 23287 43703 110011 290029 3190319 4455239 49007629 129201931 325232447 610367743 1421221241 3577556917 6714045173 9431740963 17700664547 44556845239 103749150593 194707310017 490125297629 1292148511931 14213633631241