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14140013121 = 32134715117029
BaseRepresentation
bin11010010101100111…
…10111101001000001
31100111102221002110200
431022303313221001
5212424320404441
610255033315413
71010255062023
oct151263675101
940442832420
1014140013121
115aa673a163
1228a7565b69
131444622190
14981d22013
1557b58d7b6
hex34acf7a41

14140013121 has 48 divisors (see below), whose sum is σ = 22613660160. Its totient is φ = 8459510400.

The previous prime is 14140013113. The next prime is 14140013137. The reversal of 14140013121 is 12131004141.

14140013121 is a `hidden beast` number, since 141 + 400 + 1 + 3 + 121 = 666.

It is not a de Polignac number, because 14140013121 - 23 = 14140013113 is a prime.

It is a super-3 number, since 3×141400131213 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14140013094 and 14140013103.

It is not an unprimeable number, because it can be changed into a prime (14140013141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821835 + ... + 838863.

It is an arithmetic number, because the mean of its divisors is an integer number (471117920).

Almost surely, 214140013121 is an apocalyptic number.

It is an amenable number.

14140013121 is a deficient number, since it is larger than the sum of its proper divisors (8473647039).

14140013121 is a wasteful number, since it uses less digits than its factorization.

14140013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17246 (or 17243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14140013121 its reverse (12131004141), we get a palindrome (26271017262).

The spelling of 14140013121 in words is "fourteen billion, one hundred forty million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 47 117 141 151 423 453 611 1359 1833 1963 5499 5889 7097 17029 17667 21291 51087 63873 92261 153261 221377 276783 664131 800363 830349 1992393 2401089 2571379 7203267 7714137 10404719 23142411 31214157 33427927 93642471 100283781 120854813 300851343 362564439 1087693317 1571112569 4713337707 14140013121