Search a number
-
+
144442220010001 is a prime number
BaseRepresentation
bin100000110101111010010011…
…001101101101101000010001
3200221102112121122220100020021
4200311322103031231220101
5122413020131310310001
61231111501222343441
742265414602253324
oct4065722315555021
9627375548810207
10144442220010001
114202966865a661
1214249a5328ab81
136279ac5b161b4
14279507db667bb
1511a74186e7ba1
hex835e9336da11

144442220010001 has 2 divisors, whose sum is σ = 144442220010002. Its totient is φ = 144442220010000.

The previous prime is 144442220009947. The next prime is 144442220010007. The reversal of 144442220010001 is 100010022244441.

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., 143878705553025 + 563514456976 = 11994945^2 + 750676^2 .

It is a cyclic number.

It is not a de Polignac number, because 144442220010001 - 215 = 144442219977233 is a prime.

It is not a weakly prime, because it can be changed into another prime (144442220010007) 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, 72221110005000 + 72221110005001.

It is an arithmetic number, because the mean of its divisors is an integer number (72221110005001).

Almost surely, 2144442220010001 is an apocalyptic number.

It is an amenable number.

144442220010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

144442220010001 is an equidigital number, since it uses as much as digits as its factorization.

144442220010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 144442220010001 its reverse (100010022244441), we get a palindrome (244452242254442).

The spelling of 144442220010001 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, ten thousand, one".