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144204313131 = 3243938239547
BaseRepresentation
bin1000011001001100111…
…1110011001000101011
3111210012211212010010100
42012103033303020223
54330312301010011
6150125130520443
713263342302664
oct2062317631053
9453184763110
10144204313131
115617a63689a
1223b45896123
13107a191ac48
146d9db6836b
153b3eda3d56
hex21933f322b

144204313131 has 24 divisors (see below), whose sum is σ = 208846077440. Its totient is φ = 95882085936.

The previous prime is 144204313103. The next prime is 144204313171. The reversal of 144204313131 is 131313402441.

144204313131 is a `hidden beast` number, since 14 + 4 + 204 + 313 + 131 = 666.

144204313131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144204313131 - 27 = 144204313003 is a prime.

It is a super-2 number, since 2×1442043131312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144204313095 and 144204313104.

It is not an unprimeable number, because it can be changed into a prime (144204313171) 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 23 ways as a sum of consecutive naturals, for example, 15099900 + ... + 15109446.

Almost surely, 2144204313131 is an apocalyptic number.

144204313131 is a deficient number, since it is larger than the sum of its proper divisors (64641764309).

144204313131 is a wasteful number, since it uses less digits than its factorization.

144204313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815 (or 13812 counting only the distinct ones).

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

Adding to 144204313131 its reverse (131313402441), we get a palindrome (275517715572).

The spelling of 144204313131 in words is "one hundred forty-four billion, two hundred four million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 439 1317 3823 3951 9547 11469 28641 34407 85923 1678297 4191133 5034891 12573399 15104673 36498181 37720197 109494543 328483629 16022701459 48068104377 144204313131