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14130343333134 = 2327811138280619
BaseRepresentation
bin1100110110011111101000…
…0110000100110100001110
31212000211212220220022220100
43031213322012010310032
53323002420343130014
650015220133031530
72655612036404130
oct315477206046416
955024786808810
1014130343333134
114558710486006
12170267b4855a6
137b6640cb9282
1436bcab38b050
15197868e80009
hexcd9fa184d0e

14130343333134 has 48 divisors (see below), whose sum is σ = 35032565393280. Its totient is φ = 4032262820880.

The previous prime is 14130343333103. The next prime is 14130343333159. The reversal of 14130343333134 is 43133334303141.

14130343333134 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 3 + 4 + 333 + 313 + 4 = 666.

14130343333134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×141303433331345 (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69038124 + ... + 69242495.

It is an arithmetic number, because the mean of its divisors is an integer number (729845112360).

Almost surely, 214130343333134 is an apocalyptic number.

14130343333134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14130343333134 is an abundant number, since it is smaller than the sum of its proper divisors (20902222060146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14130343333134 is a wasteful number, since it uses less digits than its factorization.

14130343333134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138281445 (or 138281442 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 14130343333134 its reverse (43133334303141), we get a palindrome (57263677636275).

The spelling of 14130343333134 in words is "fourteen trillion, one hundred thirty billion, three hundred forty-three million, three hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 811 1622 2433 4866 5677 7299 11354 14598 17031 34062 51093 102186 138280619 276561238 414841857 829683714 967964333 1244525571 1935928666 2489051142 2903892999 5807785998 8711678997 17423357994 112145582009 224291164018 336436746027 672873492054 785019074063 1009310238081 1570038148126 2018620476162 2355057222189 4710114444378 7065171666567 14130343333134