Search a number
-
+
40434412410433 is a prime number
BaseRepresentation
bin10010011000110010111101…
…10010011101011001000001
312022011111021201111221220001
421030121132302131121001
520244434134034113213
6221555151305520001
711342201301440656
oct1114313662353101
9168144251457801
1040434412410433
111197a157756798
124650562aa3001
131973c44487932
149db070b11c2d
154a1bd27ca1dd
hex24c65ec9d641

40434412410433 has 2 divisors, whose sum is σ = 40434412410434. Its totient is φ = 40434412410432.

The previous prime is 40434412410391. The next prime is 40434412410439. The reversal of 40434412410433 is 33401421443404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29243132766864 + 11191279643569 = 5407692^2 + 3345337^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40434412410433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40434412410392 and 40434412410401.

It is not a weakly prime, because it can be changed into another prime (40434412410439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20217206205216 + 20217206205217.

It is an arithmetic number, because the mean of its divisors is an integer number (20217206205217).

Almost surely, 240434412410433 is an apocalyptic number.

It is an amenable number.

40434412410433 is a deficient number, since it is larger than the sum of its proper divisors (1).

40434412410433 is an equidigital number, since it uses as much as digits as its factorization.

40434412410433 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 40434412410433 its reverse (33401421443404), we get a palindrome (73835833853837).

The spelling of 40434412410433 in words is "forty trillion, four hundred thirty-four billion, four hundred twelve million, four hundred ten thousand, four hundred thirty-three".