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144404441 is a prime number
BaseRepresentation
bin10001001101101…
…10111111011001
3101001201111122122
420212312333121
5243431420231
622155031025
73402263126
oct1046667731
9331644578
10144404441
1174570215
124043b475
1323bc001c
141526d74d
15ca2677b
hex89b6fd9

144404441 has 2 divisors, whose sum is σ = 144404442. Its totient is φ = 144404440.

The previous prime is 144404431. The next prime is 144404467.

144404441 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (144404467) can be obtained adding 144404441 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129163225 + 15241216 = 11365^2 + 3904^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144404441 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144404441.

It is not a weakly prime, because it can be changed into another prime (144404401) 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 as a sum of consecutive naturals, namely, 72202220 + 72202221.

It is an arithmetic number, because the mean of its divisors is an integer number (72202221).

Almost surely, 2144404441 is an apocalyptic number.

It is an amenable number.

144404441 is a deficient number, since it is larger than the sum of its proper divisors (1).

144404441 is an equidigital number, since it uses as much as digits as its factorization.

144404441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 144404441 is about 12016.8398924176. The cubic root of 144404441 is about 524.6385309241.

It can be divided in two parts, 14440 and 4441, that added together give a palindrome (18881).

The spelling of 144404441 in words is "one hundred forty-four million, four hundred four thousand, four hundred forty-one".