Search a number
-
+
4040821414813 is a prime number
BaseRepresentation
bin111010110011010011101…
…110011001101110011101
3112022022001210101102201111
4322303103232121232131
51012201100240233223
612332154442342021
7564640215211231
oct72632356315635
915268053342644
104040821414813
111318780387827
1255317aaba911
132340810bb261
14dd810a4c5c1
157019eb4930d
hex3acd3b99b9d

4040821414813 has 2 divisors, whose sum is σ = 4040821414814. Its totient is φ = 4040821414812.

The previous prime is 4040821414801. The next prime is 4040821414843. The reversal of 4040821414813 is 3184141280404.

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., 3269055650809 + 771765764004 = 1808053^2 + 878502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4040821414813 is a prime.

It is a super-2 number, since 2×40408214148132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4040821414843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2020410707406 + 2020410707407.

It is an arithmetic number, because the mean of its divisors is an integer number (2020410707407).

Almost surely, 24040821414813 is an apocalyptic number.

It is an amenable number.

4040821414813 is a deficient number, since it is larger than the sum of its proper divisors (1).

4040821414813 is an equidigital number, since it uses as much as digits as its factorization.

4040821414813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 4040821414813 in words is "four trillion, forty billion, eight hundred twenty-one million, four hundred fourteen thousand, eight hundred thirteen".