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144221340313 is a prime number
BaseRepresentation
bin1000011001010001000…
…0110000001010011001
3111210021000220012000201
42012110100300022121
54330331130342223
6150130535502201
713263640110631
oct2062420601231
9453230805021
10144221340313
1156189206646
1223b4b527961
13107a53001bb
146da211b6c1
153b41618ead
hex2194430299

144221340313 has 2 divisors, whose sum is σ = 144221340314. Its totient is φ = 144221340312.

The previous prime is 144221340259. The next prime is 144221340317. The reversal of 144221340313 is 313043122441.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138985804864 + 5235535449 = 372808^2 + 72357^2 .

It is a cyclic number.

It is not a de Polignac number, because 144221340313 - 213 = 144221332121 is a prime.

It is not a weakly prime, because it can be changed into another prime (144221340317) 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, 72110670156 + 72110670157.

It is an arithmetic number, because the mean of its divisors is an integer number (72110670157).

Almost surely, 2144221340313 is an apocalyptic number.

It is an amenable number.

144221340313 is a deficient number, since it is larger than the sum of its proper divisors (1).

144221340313 is an equidigital number, since it uses as much as digits as its factorization.

144221340313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144221340313 its reverse (313043122441), we get a palindrome (457264462754).

The spelling of 144221340313 in words is "one hundred forty-four billion, two hundred twenty-one million, three hundred forty thousand, three hundred thirteen".