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144808441 is a prime number
BaseRepresentation
bin10001010000110…
…01100111111001
3101002111000211121
420220121213321
5244032332231
622211425241
73405565021
oct1050314771
9332430747
10144808441
11748167a8
12405b5221
1324001b8b
1415336a81
15caa6311
hex8a199f9

144808441 has 2 divisors, whose sum is σ = 144808442. Its totient is φ = 144808440.

The previous prime is 144808403. The next prime is 144808451.

144808441 is nontrivially palindromic in base 10.

144808441 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., 93026025 + 51782416 = 9645^2 + 7196^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 144808441 - 217 = 144677369 is a prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 144808397 and 144808406.

It is not a weakly prime, because it can be changed into another prime (144808451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72404220 + 72404221.

It is an arithmetic number, because the mean of its divisors is an integer number (72404221).

Almost surely, 2144808441 is an apocalyptic number.

It is an amenable number.

144808441 is a deficient number, since it is larger than the sum of its proper divisors (1).

144808441 is an equidigital number, since it uses as much as digits as its factorization.

144808441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 144808441 is about 12033.6378954994. The cubic root of 144808441 is about 525.1273354019.

The spelling of 144808441 in words is "one hundred forty-four million, eight hundred eight thousand, four hundred forty-one".