Search a number
-
+
403133443339961 is a prime number
BaseRepresentation
bin101101110101001011101000…
…1101011111111011010111001
31221212101011212210201102122102
41123222113101223333122321
5410314414242443334321
63545220540332233145
7150625300351566665
oct13352272153773271
91855334783642572
10403133443339961
111074a5a2a109804
1239269b6660b7b5
13143c3422441139
147179a970598a5
15319165cb4ec0b
hex16ea5d1aff6b9

403133443339961 has 2 divisors, whose sum is σ = 403133443339962. Its totient is φ = 403133443339960.

The previous prime is 403133443339897. The next prime is 403133443340053. The reversal of 403133443339961 is 169933344331304.

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., 363899117299600 + 39234326040361 = 19076140^2 + 6263731^2 .

It is a cyclic number.

It is not a de Polignac number, because 403133443339961 - 26 = 403133443339897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 403133443339897 and 403133443339906.

It is not a weakly prime, because it can be changed into another prime (403193443339961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201566721669980 + 201566721669981.

It is an arithmetic number, because the mean of its divisors is an integer number (201566721669981).

Almost surely, 2403133443339961 is an apocalyptic number.

It is an amenable number.

403133443339961 is a deficient number, since it is larger than the sum of its proper divisors (1).

403133443339961 is an equidigital number, since it uses as much as digits as its factorization.

403133443339961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22674816, while the sum is 56.

The spelling of 403133443339961 in words is "four hundred three trillion, one hundred thirty-three billion, four hundred forty-three million, three hundred thirty-nine thousand, nine hundred sixty-one".