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144231041133 = 3229821673093
BaseRepresentation
bin1000011001010011010…
…1110000100001101101
3111210021201011001001100
42012110311300201231
54330341121304013
6150131523433313
713264115423124
oct2062465604155
9453251131040
10144231041133
1156193731a53
1223b52825839
13107a731882a
146da3524abb
153b423d3473
hex2194d7086d

144231041133 has 24 divisors (see below), whose sum is σ = 215780474520. Its totient is φ = 92725153920.

The previous prime is 144231041069. The next prime is 144231041173. The reversal of 144231041133 is 331140132441.

144231041133 is a `hidden beast` number, since 1 + 4 + 423 + 104 + 1 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46379068164 + 97851972969 = 215358^2 + 312813^2 .

It is not a de Polignac number, because 144231041133 - 26 = 144231041069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144231041097 and 144231041106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144231041173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122266 + ... + 550827.

It is an arithmetic number, because the mean of its divisors is an integer number (8990853105).

Almost surely, 2144231041133 is an apocalyptic number.

It is an amenable number.

144231041133 is a deficient number, since it is larger than the sum of its proper divisors (71549433387).

144231041133 is a wasteful number, since it uses less digits than its factorization.

144231041133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673949 (or 673946 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144231041133 its reverse (331140132441), we get a palindrome (475371173574).

The spelling of 144231041133 in words is "one hundred forty-four billion, two hundred thirty-one million, forty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 261 821 2463 7389 23809 71427 214281 673093 2019279 6057837 19519697 58559091 175677273 552609353 1657828059 4973484177 16025671237 48077013711 144231041133