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4314012041 is a prime number
BaseRepresentation
bin1000000010010001…
…01001100110001001
3102010122120111222202
410001020221212021
532313341341131
61552024125545
7211622332403
oct40110514611
912118514882
104314012041
111914169109
12a049068b5
135399b7261
142ccd33b73
151a3b00bcb
hex101229989

4314012041 has 2 divisors, whose sum is σ = 4314012042. Its totient is φ = 4314012040.

The previous prime is 4314012019. The next prime is 4314012061. The reversal of 4314012041 is 1402104134.

It is an a-pointer prime, because the next prime (4314012061) can be obtained adding 4314012041 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2518032400 + 1795979641 = 50180^2 + 42379^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314012041 - 210 = 4314011017 is a prime.

It is a super-2 number, since 2×43140120412 = 37221399779785971362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4314012061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2157006020 + 2157006021.

It is an arithmetic number, because the mean of its divisors is an integer number (2157006021).

Almost surely, 24314012041 is an apocalyptic number.

It is an amenable number.

4314012041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314012041 is an equidigital number, since it uses as much as digits as its factorization.

4314012041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4314012041 is about 65681.1391572954. The cubic root of 4314012041 is about 1627.8977302810.

Adding to 4314012041 its reverse (1402104134), we get a palindrome (5716116175).

The spelling of 4314012041 in words is "four billion, three hundred fourteen million, twelve thousand, forty-one".