Search a number
-
+
144311011380233 is a prime number
BaseRepresentation
bin100000110100000000000110…
…100100100000110000001001
3200220221222221111201100020222
4200310000012210200300021
5122403342422403131413
61230531321410155425
742253061251306115
oct4064000644406011
9626858844640228
10144311011380233
1141a88a57820055
1214228535882b75
13626a615718229
14278c993d62745
1511a3cd96e1b08
hex834006920c09

144311011380233 has 2 divisors, whose sum is σ = 144311011380234. Its totient is φ = 144311011380232.

The previous prime is 144311011380229. The next prime is 144311011380251. The reversal of 144311011380233 is 332083110113441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128067427289344 + 16243584090889 = 11316688^2 + 4030333^2 .

It is a cyclic number.

It is not a de Polignac number, because 144311011380233 - 22 = 144311011380229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144311011380193 and 144311011380202.

It is not a weakly prime, because it can be changed into another prime (144311011380433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72155505690116 + 72155505690117.

It is an arithmetic number, because the mean of its divisors is an integer number (72155505690117).

Almost surely, 2144311011380233 is an apocalyptic number.

It is an amenable number.

144311011380233 is a deficient number, since it is larger than the sum of its proper divisors (1).

144311011380233 is an equidigital number, since it uses as much as digits as its factorization.

144311011380233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 144311011380233 its reverse (332083110113441), we get a palindrome (476394121493674).

The spelling of 144311011380233 in words is "one hundred forty-four trillion, three hundred eleven billion, eleven million, three hundred eighty thousand, two hundred thirty-three".