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2014131141 = 321120344759
BaseRepresentation
bin111100000001101…
…0011001111000101
312012100221110111200
41320003103033011
513111104144031
6531505453113
7100624555311
oct17003231705
95170843450
102014131141
11943a195a0
12482641199
13261384399
141516d6b41
15bbc548e6
hex780d33c5

2014131141 has 12 divisors (see below), whose sum is σ = 3173782560. Its totient is φ = 1220685480.

The previous prime is 2014131121. The next prime is 2014131173. The reversal of 2014131141 is 1411314102.

2014131141 is a `hidden beast` number, since 201 + 413 + 11 + 41 = 666.

It is not a de Polignac number, because 2014131141 - 27 = 2014131013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014131121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10172281 + ... + 10172478.

It is an arithmetic number, because the mean of its divisors is an integer number (264481880).

Almost surely, 22014131141 is an apocalyptic number.

It is an amenable number.

2014131141 is a deficient number, since it is larger than the sum of its proper divisors (1159651419).

2014131141 is a wasteful number, since it uses less digits than its factorization.

2014131141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20344776 (or 20344773 counting only the distinct ones).

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

The square root of 2014131141 is about 44879.0724168849. The cubic root of 2014131141 is about 1262.8814421844.

Adding to 2014131141 its reverse (1411314102), we get a palindrome (3425445243).

The spelling of 2014131141 in words is "two billion, fourteen million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 20344759 61034277 183102831 223792349 671377047 2014131141