Search a number
-
+
144442220010401 is a prime number
BaseRepresentation
bin100000110101111010010011…
…001101101101101110100001
3200221102112121122220100210002
4200311322103031231232201
5122413020131310313101
61231111501222345345
742265414602254435
oct4065722315555641
9627375548810702
10144442220010401
114202966865a995
1214249a5328b255
136279ac5b16431
14279507db669c5
1511a74186e7d6b
hex835e9336dba1

144442220010401 has 2 divisors, whose sum is σ = 144442220010402. Its totient is φ = 144442220010400.

The previous prime is 144442220010391. The next prime is 144442220010443. The reversal of 144442220010401 is 104010022244441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126937627555600 + 17504592454801 = 11266660^2 + 4183849^2 .

It is an emirp because it is prime and its reverse (104010022244441) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 144442220010401 - 210 = 144442220009377 is a prime.

It is not a weakly prime, because it can be changed into another prime (144442220010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72221110005200 + 72221110005201.

It is an arithmetic number, because the mean of its divisors is an integer number (72221110005201).

Almost surely, 2144442220010401 is an apocalyptic number.

It is an amenable number.

144442220010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

144442220010401 is an equidigital number, since it uses as much as digits as its factorization.

144442220010401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 144442220010401 its reverse (104010022244441), we get a palindrome (248452242254842).

The spelling of 144442220010401 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, ten thousand, four hundred one".