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12354403040813 is a prime number
BaseRepresentation
bin1011001111000111101111…
…0011011111111000101101
31121202001212120220221200002
42303301323303133320231
53104403304134301223
642135311233114045
72413401424112321
oct263617363377055
947661776827602
1012354403040813
113a3352248a959
1214764486b8925
136b80275472b2
14309d5611b981
151665767ade28
hexb3c7bcdfe2d

12354403040813 has 2 divisors, whose sum is σ = 12354403040814. Its totient is φ = 12354403040812.

The previous prime is 12354403040797. The next prime is 12354403040843. The reversal of 12354403040813 is 31804030445321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7497941868169 + 4856461172644 = 2738237^2 + 2203738^2 .

It is a cyclic number.

It is not a de Polignac number, because 12354403040813 - 24 = 12354403040797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12354403040843) 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, 6177201520406 + 6177201520407.

It is an arithmetic number, because the mean of its divisors is an integer number (6177201520407).

Almost surely, 212354403040813 is an apocalyptic number.

It is an amenable number.

12354403040813 is a deficient number, since it is larger than the sum of its proper divisors (1).

12354403040813 is an equidigital number, since it uses as much as digits as its factorization.

12354403040813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 12354403040813 in words is "twelve trillion, three hundred fifty-four billion, four hundred three million, forty thousand, eight hundred thirteen".