Search a number
-
+
144310434311321 is a prime number
BaseRepresentation
bin100000110011111111100100…
…001011001010110010011001
3200220221221110021212012112022
4200303333210023022302121
5122403340232140430241
61230531144233424225
742253041043304345
oct4063774413126231
9626857407765468
10144310434311321
1141a887910046a3
12142283b456b075
13626a552cbac35
14278c93b468625
1511a3ca3c0354b
hex833fe42cac99

144310434311321 has 2 divisors, whose sum is σ = 144310434311322. Its totient is φ = 144310434311320.

The previous prime is 144310434311111. The next prime is 144310434311419. The reversal of 144310434311321 is 123113434013441.

It is a happy number.

144310434311321 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., 128522240665225 + 15788193646096 = 11336765^2 + 3973436^2 .

It is a cyclic number.

It is not a de Polignac number, because 144310434311321 - 210 = 144310434310297 is a prime.

It is a super-2 number, since 2×1443104343113212 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144310434311821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72155217155660 + 72155217155661.

It is an arithmetic number, because the mean of its divisors is an integer number (72155217155661).

Almost surely, 2144310434311321 is an apocalyptic number.

It is an amenable number.

144310434311321 is a deficient number, since it is larger than the sum of its proper divisors (1).

144310434311321 is an equidigital number, since it uses as much as digits as its factorization.

144310434311321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 144310434311321 its reverse (123113434013441), we get a palindrome (267423868324762).

The spelling of 144310434311321 in words is "one hundred forty-four trillion, three hundred ten billion, four hundred thirty-four million, three hundred eleven thousand, three hundred twenty-one".