Search a number
-
+
144044331414257 is a prime number
BaseRepresentation
bin100000110000000111101111…
…001101001011001011110001
3200220000111121010022102101002
4200300013233031023023301
5122340010242320224012
61230205015145051345
742224600546065001
oct4060075715131361
9626014533272332
10144044331414257
114199594894555a
12141a490b186b55
13624b425a597b1
14277dad617c001
15119bdcc36a7c2
hex8301ef34b2f1

144044331414257 has 2 divisors, whose sum is σ = 144044331414258. Its totient is φ = 144044331414256.

The previous prime is 144044331414241. The next prime is 144044331414329. The reversal of 144044331414257 is 752414133440441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121439165763136 + 22605165651121 = 11019944^2 + 4754489^2 .

It is a cyclic number.

It is not a de Polignac number, because 144044331414257 - 24 = 144044331414241 is a prime.

It is not a weakly prime, because it can be changed into another prime (144044331414227) 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, 72022165707128 + 72022165707129.

It is an arithmetic number, because the mean of its divisors is an integer number (72022165707129).

Almost surely, 2144044331414257 is an apocalyptic number.

It is an amenable number.

144044331414257 is a deficient number, since it is larger than the sum of its proper divisors (1).

144044331414257 is an equidigital number, since it uses as much as digits as its factorization.

144044331414257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2580480, while the sum is 47.

Adding to 144044331414257 its reverse (752414133440441), we get a palindrome (896458464854698).

The spelling of 144044331414257 in words is "one hundred forty-four trillion, forty-four billion, three hundred thirty-one million, four hundred fourteen thousand, two hundred fifty-seven".