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144322020223441 is a prime number
BaseRepresentation
bin100000110100001010010110…
…101111111010100111010001
3200221000001100201210112002121
4200310022112233322213101
5122404032444134122231
61230540342032014241
742253631126032654
oct4064122657724721
9627001321715077
10144322020223441
1141a92696a48985
121422a6a8691381
13626b67b41aa38
14278d31a09589b
1511a4230e2b311
hex834296bfa9d1

144322020223441 has 2 divisors, whose sum is σ = 144322020223442. Its totient is φ = 144322020223440.

The previous prime is 144322020223349. The next prime is 144322020223481.

144322020223441 is nontrivially palindromic in base 10.

144322020223441 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., 144001320003025 + 320700220416 = 12000055^2 + 566304^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144322020223441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144322020223397 and 144322020223406.

It is not a weakly prime, because it can be changed into another prime (144322020223481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72161010111720 + 72161010111721.

It is an arithmetic number, because the mean of its divisors is an integer number (72161010111721).

Almost surely, 2144322020223441 is an apocalyptic number.

It is an amenable number.

144322020223441 is a deficient number, since it is larger than the sum of its proper divisors (1).

144322020223441 is an equidigital number, since it uses as much as digits as its factorization.

144322020223441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 144322020223441 in words is "one hundred forty-four trillion, three hundred twenty-two billion, twenty million, two hundred twenty-three thousand, four hundred forty-one".