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314414461033 is a prime number
BaseRepresentation
bin1001001001101001000…
…11111111000001101001
31010001120002021111222021
410210310203333001221
520122410100223113
6400235013024441
731500324552151
oct4446443770151
91101502244867
10314414461033
11111384848212
1250b28925121
13238592732aa
14113096a5761
1582a2db048d
hex49348ff069

314414461033 has 2 divisors, whose sum is σ = 314414461034. Its totient is φ = 314414461032.

The previous prime is 314414461027. The next prime is 314414461037. The reversal of 314414461033 is 330164414413.

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., 303807108969 + 10607352064 = 551187^2 + 102992^2 .

It is a cyclic number.

It is not a de Polignac number, because 314414461033 - 213 = 314414452841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314414461033.

It is not a weakly prime, because it can be changed into another prime (314414461037) 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, 157207230516 + 157207230517.

It is an arithmetic number, because the mean of its divisors is an integer number (157207230517).

Almost surely, 2314414461033 is an apocalyptic number.

It is an amenable number.

314414461033 is a deficient number, since it is larger than the sum of its proper divisors (1).

314414461033 is an equidigital number, since it uses as much as digits as its factorization.

314414461033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 314414461033 its reverse (330164414413), we get a palindrome (644578875446).

The spelling of 314414461033 in words is "three hundred fourteen billion, four hundred fourteen million, four hundred sixty-one thousand, thirty-three".