Search a number
-
+
144322041022001 is a prime number
BaseRepresentation
bin100000110100001010010111…
…111111010000011000110001
3200221000001102011221012100122
4200310022113333100120301
5122404033020000201001
61230540344053500025
742253631500566113
oct4064122777203061
9627001364835318
10144322041022001
1141a926a7764177
121422a6b3641615
13626b68282078b
14278d31cb4b3b3
1511a4232b88b1b
hex834297fd0631

144322041022001 has 2 divisors, whose sum is σ = 144322041022002. Its totient is φ = 144322041022000.

The previous prime is 144322041021931. The next prime is 144322041022013. The reversal of 144322041022001 is 100220140223441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117571950163600 + 26750090858401 = 10843060^2 + 5172049^2 .

It is a cyclic number.

It is not a de Polignac number, because 144322041022001 - 210 = 144322041020977 is a prime.

It is a super-2 number, since 2×1443220410220012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144322041022091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72161020511000 + 72161020511001.

It is an arithmetic number, because the mean of its divisors is an integer number (72161020511001).

Almost surely, 2144322041022001 is an apocalyptic number.

It is an amenable number.

144322041022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

144322041022001 is an equidigital number, since it uses as much as digits as its factorization.

144322041022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144322041022001 its reverse (100220140223441), we get a palindrome (244542181245442).

The spelling of 144322041022001 in words is "one hundred forty-four trillion, three hundred twenty-two billion, forty-one million, twenty-two thousand, one".