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131214041112014 = 27237916871305743
BaseRepresentation
bin11101110101011010100110…
…010011110101110111001110
3122012120221101010112210101222
4131311122212103311313032
5114144302324011041024
61143022522012203342
736431621154662240
oct3565324623656716
9565527333483358
10131214041112014
1138899620512623
12128721b0a69552
13582a57ab447a3
142458b17422090
1510282a1cd885e
hex7756a64f5dce

131214041112014 has 64 divisors (see below), whose sum is σ = 237704268349440. Its totient is φ = 53105404191840.

The previous prime is 131214041111987. The next prime is 131214041112043. The reversal of 131214041112014 is 410211140412131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429011627 + ... + 429317369.

It is an arithmetic number, because the mean of its divisors is an integer number (3714129192960).

Almost surely, 2131214041112014 is an apocalyptic number.

131214041112014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131214041112014 is a deficient number, since it is larger than the sum of its proper divisors (106490227237426).

131214041112014 is a wasteful number, since it uses less digits than its factorization.

131214041112014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322725.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 131214041112014 its reverse (410211140412131), we get a palindrome (541425181524145).

The spelling of 131214041112014 in words is "one hundred thirty-one trillion, two hundred fourteen billion, forty-one million, one hundred twelve thousand, fourteen".

Divisors: 1 2 7 14 23 46 79 158 161 322 553 1106 1817 3634 12719 16871 25438 33742 118097 236194 305743 388033 611486 776066 1332809 2140201 2665618 2716231 4280402 5432462 7032089 9329663 14064178 18659326 24153697 30654607 48307394 49224623 61309214 98449246 169075879 214582249 338151758 429164498 555535031 1111070062 3888745217 5158190153 7777490434 10316380306 36107331071 72214662142 118638373519 237276747038 407497022087 814994044174 830468614633 1660937229266 2852479154609 5704958309218 9372431508001 18744863016002 65607020556007 131214041112014