Search a number
-
+
144106309 is a prime number
BaseRepresentation
bin10001001011011…
…10001101000101
3101001011100200201
420211232031011
5243342400214
622144410501
73366612004
oct1045561505
9331140621
10144106309
1174387226
1240316a31
1323b17409
14151d2c3b
15c9b8274
hex896e345

144106309 has 2 divisors, whose sum is σ = 144106310. Its totient is φ = 144106308.

The previous prime is 144106289. The next prime is 144106337. The reversal of 144106309 is 903601441.

It is an a-pointer prime, because the next prime (144106337) can be obtained adding 144106309 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142874209 + 1232100 = 11953^2 + 1110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144106309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144106409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72053154 + 72053155.

It is an arithmetic number, because the mean of its divisors is an integer number (72053155).

Almost surely, 2144106309 is an apocalyptic number.

It is an amenable number.

144106309 is a deficient number, since it is larger than the sum of its proper divisors (1).

144106309 is an equidigital number, since it uses as much as digits as its factorization.

144106309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 144106309 is about 12004.4287244333. The cubic root of 144106309 is about 524.2772324823.

The spelling of 144106309 in words is "one hundred forty-four million, one hundred six thousand, three hundred nine".