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14013333222129 = 3218116135333177
BaseRepresentation
bin1100101111101011101110…
…1111111011001011110001
31211121122212021201211001100
43023322323233323023301
53314043301301102004
645445345244155013
72644300314023223
oct313727357731361
954548767654040
1014013333222129
11451302630582a
1216a3a64b38a69
137a85b43861b7
1436636b178413
151947bb722739
hexcbebbbfb2f1

14013333222129 has 24 divisors (see below), whose sum is σ = 20365934824872. Its totient is φ = 9284846088960.

The previous prime is 14013333222103. The next prime is 14013333222137. The reversal of 14013333222129 is 92122233331041.

14013333222129 is a `hidden beast` number, since 1 + 401 + 3 + 3 + 3 + 3 + 2 + 221 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65147457600 + 13948185764529 = 255240^2 + 3734727^2 .

It is not a de Polignac number, because 14013333222129 - 212 = 14013333218033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14013333222093 and 14013333222102.

It is not an unprimeable number, because it can be changed into a prime (14013333222149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39012 + ... + 5294165.

It is an arithmetic number, because the mean of its divisors is an integer number (848580617703).

Almost surely, 214013333222129 is an apocalyptic number.

It is an amenable number.

14013333222129 is a deficient number, since it is larger than the sum of its proper divisors (6352601602743).

14013333222129 is a wasteful number, since it uses less digits than its factorization.

14013333222129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334977 (or 5334974 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 14013333222129 in words is "fourteen trillion, thirteen billion, three hundred thirty-three million, two hundred twenty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 181 543 1613 1629 4839 14517 291953 875859 2627577 5333177 15999531 47998593 965305037 2895915111 8602414501 8687745333 25807243503 77421730509 1557037024681 4671111074043 14013333222129