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144312311400137 is a prime number
BaseRepresentation
bin100000110100000001010100…
…000011101100011011001001
3200220222010022002221012022022
4200310001110003230123021
5122403403103204301022
61230532054410134225
742253135415301446
oct4064012403543311
9626863262835268
10144312311400137
1141a89564631271
1214228839121375
13626a791b5c28a
14278ca7888a9cd
1511a3d638d7c42
hex8340540ec6c9

144312311400137 has 2 divisors, whose sum is σ = 144312311400138. Its totient is φ = 144312311400136.

The previous prime is 144312311400109. The next prime is 144312311400143. The reversal of 144312311400137 is 731004113213441.

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., 106402443304336 + 37909868095801 = 10315156^2 + 6157099^2 .

It is a cyclic number.

It is not a de Polignac number, because 144312311400137 - 218 = 144312311137993 is a prime.

It is a super-2 number, since 2×1443123114001372 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144312311400097 and 144312311400106.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72156155700068 + 72156155700069.

It is an arithmetic number, because the mean of its divisors is an integer number (72156155700069).

Almost surely, 2144312311400137 is an apocalyptic number.

It is an amenable number.

144312311400137 is a deficient number, since it is larger than the sum of its proper divisors (1).

144312311400137 is an equidigital number, since it uses as much as digits as its factorization.

144312311400137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

Adding to 144312311400137 its reverse (731004113213441), we get a palindrome (875316424613578).

The spelling of 144312311400137 in words is "one hundred forty-four trillion, three hundred twelve billion, three hundred eleven million, four hundred thousand, one hundred thirty-seven".