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144312004334261 is a prime number
BaseRepresentation
bin100000110100000001000001…
…110000010101001010110101
3200220222002111201010122010002
4200310001001300111022311
5122403401441102144021
61230532004120441045
742253124666262611
oct4064010160251265
9626862451118102
10144312004334261
1141a89417271115
1214228772319185
13626a7433592aa
14278ca49b98341
1511a3d4698050b
hex834041c152b5

144312004334261 has 2 divisors, whose sum is σ = 144312004334262. Its totient is φ = 144312004334260.

The previous prime is 144312004334243. The next prime is 144312004334417. The reversal of 144312004334261 is 162433400213441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107728934355025 + 36583069979236 = 10379255^2 + 6048394^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144312004334261 is a prime.

It is a super-2 number, since 2×1443120043342612 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144312004334221) 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, 72156002167130 + 72156002167131.

It is an arithmetic number, because the mean of its divisors is an integer number (72156002167131).

Almost surely, 2144312004334261 is an apocalyptic number.

It is an amenable number.

144312004334261 is a deficient number, since it is larger than the sum of its proper divisors (1).

144312004334261 is an equidigital number, since it uses as much as digits as its factorization.

144312004334261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 144312004334261 in words is "one hundred forty-four trillion, three hundred twelve billion, four million, three hundred thirty-four thousand, two hundred sixty-one".