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144300130030993 is a prime number
BaseRepresentation
bin100000110011110101111101…
…111111011101010110010001
3200220220221212011112112021011
4200303311331333131112101
5122403203131241442433
61230522321541130521
742252224512334626
oct4063657577352621
9626827764475234
10144300130030993
1141a84383562342
12142263b96b9a41
1362695a0264641
14278c240b3a34d
1511a389e28d3cd
hex833d7dfdd591

144300130030993 has 2 divisors, whose sum is σ = 144300130030994. Its totient is φ = 144300130030992.

The previous prime is 144300130030957. The next prime is 144300130031027. The reversal of 144300130030993 is 399030031003441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122899772924289 + 21400357106704 = 11086017^2 + 4626052^2 .

It is a cyclic number.

It is not a de Polignac number, because 144300130030993 - 217 = 144300129899921 is a prime.

It is a super-2 number, since 2×1443001300309932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144300130000993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72150065015496 + 72150065015497.

It is an arithmetic number, because the mean of its divisors is an integer number (72150065015497).

Almost surely, 2144300130030993 is an apocalyptic number.

It is an amenable number.

144300130030993 is a deficient number, since it is larger than the sum of its proper divisors (1).

144300130030993 is an equidigital number, since it uses as much as digits as its factorization.

144300130030993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 144300130030993 in words is "one hundred forty-four trillion, three hundred billion, one hundred thirty million, thirty thousand, nine hundred ninety-three".