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144314043257 is a prime number
BaseRepresentation
bin1000011001100111001…
…0011000101101111001
3111210111111022222120002
42012121302120231321
54331023343341012
6150144050442345
713266144061616
oct2063162305571
9453444288502
10144314043257
115622657374a
1223b765933b5
13107bb58a507
146db056d50d
153b4982b7c2
hex2199c98b79

144314043257 has 2 divisors, whose sum is σ = 144314043258. Its totient is φ = 144314043256.

The previous prime is 144314043187. The next prime is 144314043277. The reversal of 144314043257 is 752340413441.

144314043257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143655402361 + 658640896 = 379019^2 + 25664^2 .

It is a cyclic number.

It is not a de Polignac number, because 144314043257 - 226 = 144246934393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144314043257.

It is not a weakly prime, because it can be changed into another prime (144314043277) 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 as a sum of consecutive naturals, namely, 72157021628 + 72157021629.

It is an arithmetic number, because the mean of its divisors is an integer number (72157021629).

Almost surely, 2144314043257 is an apocalyptic number.

It is an amenable number.

144314043257 is a deficient number, since it is larger than the sum of its proper divisors (1).

144314043257 is an equidigital number, since it uses as much as digits as its factorization.

144314043257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 38.

Adding to 144314043257 its reverse (752340413441), we get a palindrome (896654456698).

The spelling of 144314043257 in words is "one hundred forty-four billion, three hundred fourteen million, forty-three thousand, two hundred fifty-seven".