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404413424329 is a prime number
BaseRepresentation
bin1011110001010001110…
…10110010001011001001
31102122212021012120000011
411320220322302023021
523111214314034304
6505441315111521
741134512250225
oct5705072621311
91378767176004
10404413424329
11146568920422
12664652a25a1
132c19cac1725
14158063b3785
15a7be0d4c04
hex5e28eb22c9

404413424329 has 2 divisors, whose sum is σ = 404413424330. Its totient is φ = 404413424328.

The previous prime is 404413424299. The next prime is 404413424377. The reversal of 404413424329 is 923424314404.

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., 389881604025 + 14531820304 = 624405^2 + 120548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404413424329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404413424291 and 404413424300.

It is not a weakly prime, because it can be changed into another prime (404413424929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202206712164 + 202206712165.

It is an arithmetic number, because the mean of its divisors is an integer number (202206712165).

Almost surely, 2404413424329 is an apocalyptic number.

It is an amenable number.

404413424329 is a deficient number, since it is larger than the sum of its proper divisors (1).

404413424329 is an equidigital number, since it uses as much as digits as its factorization.

404413424329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 404413424329 in words is "four hundred four billion, four hundred thirteen million, four hundred twenty-four thousand, three hundred twenty-nine".