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12404555540417 is a prime number
BaseRepresentation
bin1011010010000010100100…
…1000000110011111000001
31121220212022210200220102102
42310200221020012133001
53111214012204243132
642214324003200145
72420125310245325
oct264405110063701
947825283626372
1012404555540417
113a52819242137
121484104676055
136bc98aa7c871
1430c552bc7985
15167a0e728c62
hexb48292067c1

12404555540417 has 2 divisors, whose sum is σ = 12404555540418. Its totient is φ = 12404555540416.

The previous prime is 12404555540401. The next prime is 12404555540437. The reversal of 12404555540417 is 71404555540421.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12255768678976 + 148786861441 = 3500824^2 + 385729^2 .

It is an emirp because it is prime and its reverse (71404555540421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12404555540417 - 24 = 12404555540401 is a prime.

It is a super-3 number, since 3×124045555404173 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12404555540437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6202277770208 + 6202277770209.

It is an arithmetic number, because the mean of its divisors is an integer number (6202277770209).

Almost surely, 212404555540417 is an apocalyptic number.

It is an amenable number.

12404555540417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12404555540417 is an equidigital number, since it uses as much as digits as its factorization.

12404555540417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240000, while the sum is 47.

The spelling of 12404555540417 in words is "twelve trillion, four hundred four billion, five hundred fifty-five million, five hundred forty thousand, four hundred seventeen".