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423024062409 = 361321721092
BaseRepresentation
bin1100010011111100011…
…00101110111111001001
31111102220021101221000000
412021332030232333021
523412323124444114
6522200133433213
742363634126254
oct6117614567711
91442807357000
10423024062409
11153449067253
1269b99a9b809
1330b776a3a00
141668dd5609b
15b00cdace09
hex627e32efc9

423024062409 has 189 divisors, whose sum is σ = 736317343503. Its totient is φ = 242761618944.

The previous prime is 423024062401. The next prime is 423024062467. The reversal of 423024062409 is 904260420324.

The square root of 423024062409 is 650403.

It is a perfect power (a square), and thus also a powerful number.

423024062409 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 2 + 406 + 240 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 166461552009 + 256562510400 = 407997^2 + 506520^2 .

It is not a de Polignac number, because 423024062409 - 23 = 423024062401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (423024062401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3880954647 + ... + 3880954755.

Almost surely, 2423024062409 is an apocalyptic number.

423024062409 is the 650403-rd square number.

423024062409 is the 325202-nd centered octagonal number.

It is an amenable number.

423024062409 is a deficient number, since it is larger than the sum of its proper divisors (313293281094).

423024062409 is an equidigital number, since it uses as much as digits as its factorization.

423024062409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 423024062409 by its sum of digits (36), we get a square (15228866246724 = 39024182).

The spelling of 423024062409 in words is "four hundred twenty-three billion, twenty-four million, sixty-two thousand, four hundred nine".