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12014784242145 = 3251597991670819
BaseRepresentation
bin1010111011010110100011…
…1100100110000111100001
31120112121020222020102100100
42232311220330212013201
53033322234231222040
641315303215413013
72350016361004206
oct256655074460741
946477228212310
1012014784242145
113912494530843
121420666b24169
13691cb2625069
142d77392bbcad
1515c7ead16b30
hexaed68f261e1

12014784242145 has 24 divisors (see below), whose sum is σ = 20825768808000. Its totient is φ = 6407840994336.

The previous prime is 12014784242137. The next prime is 12014784242213. The reversal of 12014784242145 is 54124248741021.

12014784242145 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 7 + 8 + 424 + 214 + 5 = 666.

It is not a de Polignac number, because 12014784242145 - 23 = 12014784242137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12014784242145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6355546 + ... + 8026364.

It is an arithmetic number, because the mean of its divisors is an integer number (867740367000).

Almost surely, 212014784242145 is an apocalyptic number.

12014784242145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12014784242145 is a deficient number, since it is larger than the sum of its proper divisors (8810984565855).

12014784242145 is a wasteful number, since it uses less digits than its factorization.

12014784242145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830629 (or 1830626 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 12014784242145 in words is "twelve trillion, fourteen billion, seven hundred eighty-four million, two hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 159799 479397 798995 1438191 1670819 2396985 5012457 7190955 8354095 15037371 25062285 75186855 266995205381 800985616143 1334976026905 2402956848429 4004928080715 12014784242145