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144114130129 is a prime number
BaseRepresentation
bin1000011000110111011…
…1110001110011010001
3111202222120011100022011
42012031313301303101
54330121204131004
6150112145542521
713261165615534
oct2061567616321
9452876140264
10144114130129
115613373aa92
1223b1b644a41
1310789033918
146d91bb0a1b
153b36edd004
hex218ddf1cd1

144114130129 has 2 divisors, whose sum is σ = 144114130130. Its totient is φ = 144114130128.

The previous prime is 144114130087. The next prime is 144114130159. The reversal of 144114130129 is 921031411441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133765747600 + 10348382529 = 365740^2 + 101727^2 .

It is a cyclic number.

It is not a de Polignac number, because 144114130129 - 27 = 144114130001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144114130129.

It is not a weakly prime, because it can be changed into another prime (144114130159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72057065064 + 72057065065.

It is an arithmetic number, because the mean of its divisors is an integer number (72057065065).

Almost surely, 2144114130129 is an apocalyptic number.

It is an amenable number.

144114130129 is a deficient number, since it is larger than the sum of its proper divisors (1).

144114130129 is an equidigital number, since it uses as much as digits as its factorization.

144114130129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 144114130129 in words is "one hundred forty-four billion, one hundred fourteen million, one hundred thirty thousand, one hundred twenty-nine".