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13340142144 = 263273308567
BaseRepresentation
bin11000110110010001…
…00110101001000000
31021102200211102202200
430123020212221000
5204310034022034
610043421313200
7651403223460
oct143310465100
937380742680
1013340142144
11572618726a
122703705800
1313479b5c44
149079cbba0
1553123ea99
hex31b226a40

13340142144 has 84 divisors (see below), whose sum is σ = 43699566144. Its totient is φ = 3811468032.

The previous prime is 13340142121. The next prime is 13340142149. The reversal of 13340142144 is 44124104331.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (13340142149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1650252 + ... + 1658315.

Almost surely, 213340142144 is an apocalyptic number.

13340142144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13340142144 is an abundant number, since it is smaller than the sum of its proper divisors (30359424000).

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

13340142144 is a wasteful number, since it uses less digits than its factorization.

13340142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308592 (or 3308579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13340142144 its reverse (44124104331), we get a palindrome (57464246475).

The spelling of 13340142144 in words is "thirteen billion, three hundred forty million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 3308567 6617134 9925701 13234268 19851402 23159969 26468536 29777103 39702804 46319938 52937072 59554206 69479907 79405608 92639876 105874144 119108412 138959814 158811216 185279752 208439721 211748288 238216824 277919628 317622432 370559504 416879442 476433648 555839256 635244864 741119008 833758884 952867296 1111678512 1482238016 1667517768 1905734592 2223357024 3335035536 4446714048 6670071072 13340142144