Search a number
-
+
144340402104 = 23322004727807
BaseRepresentation
bin1000011001101101011…
…0111011111110111000
3111210120022221011002200
42012123112323332320
54331102120331404
6150150431430200
713266614113563
oct2063326737670
9453508834080
10144340402104
115623a437518
1223b83385360
13107c3b89072
146db3c714da
153b4bcd6839
hex219b5bbfb8

144340402104 has 24 divisors (see below), whose sum is σ = 390921922560. Its totient is φ = 48113467344.

The previous prime is 144340402099. The next prime is 144340402117. The reversal of 144340402104 is 401204043441.

144340402104 is a `hidden beast` number, since 1 + 4 + 43 + 404 + 0 + 210 + 4 = 666.

144340402104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1002363832 + ... + 1002363975.

It is an arithmetic number, because the mean of its divisors is an integer number (16288413440).

Almost surely, 2144340402104 is an apocalyptic number.

It is an amenable number.

144340402104 is an abundant number, since it is smaller than the sum of its proper divisors (246581520456).

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

144340402104 is a wasteful number, since it uses less digits than its factorization.

144340402104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004727819 (or 2004727812 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144340402104 its reverse (401204043441), we get a palindrome (545544445545).

The spelling of 144340402104 in words is "one hundred forty-four billion, three hundred forty million, four hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2004727807 4009455614 6014183421 8018911228 12028366842 16037822456 18042550263 24056733684 36085100526 48113467368 72170201052 144340402104