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144214431633 = 3287718271181
BaseRepresentation
bin1000011001001111011…
…0011001011110010001
3111210020112220012002200
42012103312121132101
54330322343303013
6150130131433413
713263524304666
oct2062366313621
9453215805080
10144214431633
1156185317a98
1223b49155869
13107a3a5171c
146da123da6d
153b40c01e73
hex2193d99791

144214431633 has 12 divisors (see below), whose sum is σ = 208547271348. Its totient is φ = 96033322080.

The previous prime is 144214431631. The next prime is 144214431667. The reversal of 144214431633 is 336134412441.

144214431633 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 14 + 4 + 3 + 1 + 633 = 666.

144214431633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58519480464 + 85694951169 = 241908^2 + 292737^2 .

It is not a de Polignac number, because 144214431633 - 21 = 144214431631 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144214431631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9127698 + ... + 9143483.

It is an arithmetic number, because the mean of its divisors is an integer number (17378939279).

Almost surely, 2144214431633 is an apocalyptic number.

It is an amenable number.

144214431633 is a deficient number, since it is larger than the sum of its proper divisors (64332839715).

144214431633 is a wasteful number, since it uses less digits than its factorization.

144214431633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18272064 (or 18272061 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 144214431633 in words is "one hundred forty-four billion, two hundred fourteen million, four hundred thirty-one thousand, six hundred thirty-three".

Divisors: 1 3 9 877 2631 7893 18271181 54813543 164440629 16023825737 48071477211 144214431633