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14148242141 = 112436434229
BaseRepresentation
bin11010010110100110…
…10000101011011101
31100112000102011120012
431023103100223131
5212433422222031
610255525533005
71010415034235
oct151323205335
940460364505
1014148242141
11600034a800
1228aa274165
131446243917
14983064cc5
1557c166b2b
hex34b4d0add

14148242141 has 24 divisors (see below), whose sum is σ = 15941550240. Its totient is φ = 12540417120.

The previous prime is 14148242051. The next prime is 14148242153. The reversal of 14148242141 is 14124284141.

It is not a de Polignac number, because 14148242141 - 230 = 13074500317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14148242098 and 14148242107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14148241141) 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, 3343415 + ... + 3347643.

It is an arithmetic number, because the mean of its divisors is an integer number (664231260).

Almost surely, 214148242141 is an apocalyptic number.

14148242141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14148242141 is a deficient number, since it is larger than the sum of its proper divisors (1793308099).

14148242141 is a wasteful number, since it uses less digits than its factorization.

14148242141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4926 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The spelling of 14148242141 in words is "fourteen billion, one hundred forty-eight million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 11 43 121 473 643 4229 5203 7073 27649 46519 77803 181847 304139 511709 2000317 2719247 3345529 22003487 29911717 116927621 329028887 1286203831 14148242141