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2014113141 = 3397769039
BaseRepresentation
bin111100000001100…
…1110110101110101
312012100220112211000
41320003032311311
513111103110031
6531505233513
7100624451655
oct17003166565
95170815730
102014113141
11943a07017
12482632899
13261379131
141516d0365
15bbc4e3e6
hex780ced75

2014113141 has 16 divisors (see below), whose sum is σ = 3014636800. Its totient is φ = 1328897664.

The previous prime is 2014113139. The next prime is 2014113169. The reversal of 2014113141 is 1413114102.

It is not a de Polignac number, because 2014113141 - 21 = 2014113139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014113041) 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, 381901 + ... + 387138.

It is an arithmetic number, because the mean of its divisors is an integer number (188414800).

Almost surely, 22014113141 is an apocalyptic number.

It is an amenable number.

2014113141 is a deficient number, since it is larger than the sum of its proper divisors (1000523659).

2014113141 is an equidigital number, since it uses as much as digits as its factorization.

2014113141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769145 (or 769139 counting only the distinct ones).

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

The square root of 2014113141 is about 44878.8718775328. The cubic root of 2014113141 is about 1262.8776801100.

Adding to 2014113141 its reverse (1413114102), we get a palindrome (3427227243).

The spelling of 2014113141 in words is "two billion, fourteen million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 97 291 873 2619 769039 2307117 6921351 20764053 74596783 223790349 671371047 2014113141