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134040332411244 = 22337673263450263
BaseRepresentation
bin11110011110100010110010…
…011001100010000101101100
3122120121010112020020202201000
4132132202302121202011230
5120032104100044124434
61153025140103320300
740143044251435440
oct3636426231420554
9576533466222630
10134040332411244
1139789205249376
1213049ab8150090
1359a3c4526b5cc
14251582dcb8820
151076a6b2ecb99
hex79e8b266216c

134040332411244 has 96 divisors (see below), whose sum is σ = 397746670576640. Its totient is φ = 38240332429824.

The previous prime is 134040332411221. The next prime is 134040332411273. The reversal of 134040332411244 is 442114233040431.

134040332411244 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 40 + 332 + 41 + 1 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134040332411199 and 134040332411208.

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 31 ways as a sum of consecutive naturals, for example, 131216344 + ... + 132233919.

Almost surely, 2134040332411244 is an apocalyptic number.

134040332411244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134040332411244 is an abundant number, since it is smaller than the sum of its proper divisors (263706338165396).

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

134040332411244 is a wasteful number, since it uses less digits than its factorization.

134040332411244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263450956 (or 263450948 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134040332411244 its reverse (442114233040431), we get a palindrome (576154565451675).

The spelling of 134040332411244 in words is "one hundred thirty-four trillion, forty billion, three hundred thirty-two million, four hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 673 756 1346 2019 2692 4038 4711 6057 8076 9422 12114 14133 18171 18844 24228 28266 36342 42399 56532 72684 84798 127197 169596 254394 508788 263450263 526900526 790350789 1053801052 1580701578 1844151841 2371052367 3161403156 3688303682 4742104734 5532455523 7113157101 7376607364 9484209468 11064911046 14226314202 16597366569 22129822092 28452628404 33194733138 49792099707 66389466276 99584199414 177302026999 199168398828 354604053998 531906080997 709208107996 1063812161994 1241114188993 1595718242991 2127624323988 2482228377986 3191436485982 3723342566979 4787154728973 4964456755972 6382872971964 7446685133958 9574309457946 11170027700937 14893370267916 19148618915892 22340055401874 33510083102811 44680110803748 67020166205622 134040332411244