Search a number
-
+
144424142244337 is a prime number
BaseRepresentation
bin100000110101101001011101…
…101100100000100111110001
3200221100210221210101200202211
4200311221131230200213301
5122412221120403304322
61231055311321212121
742264204610632214
oct4065513554404761
9627323853350684
10144424142244337
1142021a3119275a
1214246449031041
1362781a4758537
142794246c9577b
1511a6c0b5ccb77
hex835a5db209f1

144424142244337 has 2 divisors, whose sum is σ = 144424142244338. Its totient is φ = 144424142244336.

The previous prime is 144424142244301. The next prime is 144424142244353. The reversal of 144424142244337 is 733442241424441.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121177627141041 + 23246515103296 = 11008071^2 + 4821464^2 .

It is a cyclic number.

It is not a de Polignac number, because 144424142244337 - 27 = 144424142244209 is a prime.

It is a super-3 number, since 3×1444241422443373 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (144424142244367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72212071122168 + 72212071122169.

It is an arithmetic number, because the mean of its divisors is an integer number (72212071122169).

Almost surely, 2144424142244337 is an apocalyptic number.

It is an amenable number.

144424142244337 is a deficient number, since it is larger than the sum of its proper divisors (1).

144424142244337 is an equidigital number, since it uses as much as digits as its factorization.

144424142244337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8257536, while the sum is 49.

Adding to 144424142244337 its reverse (733442241424441), we get a palindrome (877866383668778).

The spelling of 144424142244337 in words is "one hundred forty-four trillion, four hundred twenty-four billion, one hundred forty-two million, two hundred forty-four thousand, three hundred thirty-seven".