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144312311400109 is a prime number
BaseRepresentation
bin100000110100000001010100…
…000011101100011010101101
3200220222010022002221012021021
4200310001110003230122231
5122403403103204300414
61230532054410134141
742253135415301406
oct4064012403543255
9626863262835237
10144312311400109
1141a89564631246
1214228839121351
13626a791b5c268
14278ca7888a9ad
1511a3d638d7c24
hex8340540ec6ad

144312311400109 has 2 divisors, whose sum is σ = 144312311400110. Its totient is φ = 144312311400108.

The previous prime is 144312311400107. The next prime is 144312311400137. The reversal of 144312311400109 is 901004113213441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80257051476900 + 64055259923209 = 8958630^2 + 8003453^2 .

It is an emirp because it is prime and its reverse (901004113213441) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 144312311400109 - 21 = 144312311400107 is a prime.

Together with 144312311400107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144312311400107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72156155700054 + 72156155700055.

It is an arithmetic number, because the mean of its divisors is an integer number (72156155700055).

Almost surely, 2144312311400109 is an apocalyptic number.

It is an amenable number.

144312311400109 is a deficient number, since it is larger than the sum of its proper divisors (1).

144312311400109 is an equidigital number, since it uses as much as digits as its factorization.

144312311400109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 144312311400109 in words is "one hundred forty-four trillion, three hundred twelve billion, three hundred eleven million, four hundred thousand, one hundred nine".