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144505129 is a prime number
BaseRepresentation
bin10001001110011…
…11100100101001
3101001220121202211
420213033210221
5243443131004
622201125121
73403162516
oct1047174451
9331817684
10144505129
117462992a
12404897a1
1323c26ac2
141529830d
15ca46504
hex89cf929

144505129 has 2 divisors, whose sum is σ = 144505130. Its totient is φ = 144505128.

The previous prime is 144505121. The next prime is 144505147. The reversal of 144505129 is 921505441.

144505129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85599504 + 58905625 = 9252^2 + 7675^2 .

It is a cyclic number.

It is not a de Polignac number, because 144505129 - 23 = 144505121 is a prime.

It is equal to p8152366 and since 144505129 and 8152366 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144505129.

It is not a weakly prime, because it can be changed into another prime (144505121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72252564 + 72252565.

It is an arithmetic number, because the mean of its divisors is an integer number (72252565).

Almost surely, 2144505129 is an apocalyptic number.

It is an amenable number.

144505129 is a deficient number, since it is larger than the sum of its proper divisors (1).

144505129 is an equidigital number, since it uses as much as digits as its factorization.

144505129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 144505129 is about 12021.0286165536. The cubic root of 144505129 is about 524.7604397592.

The spelling of 144505129 in words is "one hundred forty-four million, five hundred five thousand, one hundred twenty-nine".