Search a number
-
+
144064015532401 is a prime number
BaseRepresentation
bin100000110000011010000100…
…011110001000000101110001
3200220002101101221110020011211
4200300122010132020011301
5122340321100434014101
61230222032312040121
742226165414244356
oct4060320436100561
9626071357406154
10144064015532401
11419a322a032898
12141a86a3393041
136250241b65793
142780a4251862d
15119c6804dbc51
hex830684788171

144064015532401 has 2 divisors, whose sum is σ = 144064015532402. Its totient is φ = 144064015532400.

The previous prime is 144064015532387. The next prime is 144064015532431. The reversal of 144064015532401 is 104235510460441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104960004510001 + 39104011022400 = 10244999^2 + 6253320^2 .

It is a cyclic number.

It is not a de Polignac number, because 144064015532401 - 215 = 144064015499633 is a prime.

It is not a weakly prime, because it can be changed into another prime (144064015532431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72032007766200 + 72032007766201.

It is an arithmetic number, because the mean of its divisors is an integer number (72032007766201).

Almost surely, 2144064015532401 is an apocalyptic number.

It is an amenable number.

144064015532401 is a deficient number, since it is larger than the sum of its proper divisors (1).

144064015532401 is an equidigital number, since it uses as much as digits as its factorization.

144064015532401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 144064015532401 its reverse (104235510460441), we get a palindrome (248299525992842).

The spelling of 144064015532401 in words is "one hundred forty-four trillion, sixty-four billion, fifteen million, five hundred thirty-two thousand, four hundred one".