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144132310300313 is a prime number
BaseRepresentation
bin100000110001011001101011…
…001001111111011010011001
3200220022220200112002220101102
4200301121223021333122121
5122342430432414102223
61230313245210001145
742234134004221036
oct4061315311773231
9626286615086342
10144132310300313
1141a1a195708845
12141b99831161b5
136256806c2125a
14278408088638d
15119e32b063928
hex83166b27f699

144132310300313 has 2 divisors, whose sum is σ = 144132310300314. Its totient is φ = 144132310300312.

The previous prime is 144132310300291. The next prime is 144132310300393. The reversal of 144132310300313 is 313003013231441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133456721208409 + 10675589091904 = 11552347^2 + 3267352^2 .

It is a cyclic number.

It is not a de Polignac number, because 144132310300313 - 218 = 144132310038169 is a prime.

It is a super-4 number, since 4×1441323103003134 (a number of 58 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (144132310300393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72066155150156 + 72066155150157.

It is an arithmetic number, because the mean of its divisors is an integer number (72066155150157).

Almost surely, 2144132310300313 is an apocalyptic number.

It is an amenable number.

144132310300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

144132310300313 is an equidigital number, since it uses as much as digits as its factorization.

144132310300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 144132310300313 its reverse (313003013231441), we get a palindrome (457135323531754).

The spelling of 144132310300313 in words is "one hundred forty-four trillion, one hundred thirty-two billion, three hundred ten million, three hundred thousand, three hundred thirteen".