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144042042214033 is a prime number
BaseRepresentation
bin100000110000000101100110…
…110000100100011010010001
3200220000021200120210000000121
4200300011212300210122101
5122334441100301322113
61230204000051350241
742224460041153605
oct4060054660443221
9626007616700017
10144042042214033
1141994983730547
12141a43905b2381
13624b14c6c6252
14277d95a121505
15119bce63cde8d
hex830166c24691

144042042214033 has 2 divisors, whose sum is σ = 144042042214034. Its totient is φ = 144042042214032.

The previous prime is 144042042213983. The next prime is 144042042214079. The reversal of 144042042214033 is 330412240240441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142431407098369 + 1610635115664 = 11934463^2 + 1269108^2 .

It is a cyclic number.

It is not a de Polignac number, because 144042042214033 - 221 = 144042040116881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144042042214033.

It is not a weakly prime, because it can be changed into another prime (144042012214033) 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, 72021021107016 + 72021021107017.

It is an arithmetic number, because the mean of its divisors is an integer number (72021021107017).

Almost surely, 2144042042214033 is an apocalyptic number.

It is an amenable number.

144042042214033 is a deficient number, since it is larger than the sum of its proper divisors (1).

144042042214033 is an equidigital number, since it uses as much as digits as its factorization.

144042042214033 is an odious number, because the sum of its binary digits is odd.

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

Adding to 144042042214033 its reverse (330412240240441), we get a palindrome (474454282454474).

The spelling of 144042042214033 in words is "one hundred forty-four trillion, forty-two billion, forty-two million, two hundred fourteen thousand, thirty-three".