Search a number
4334414344693 is a prime number
BaseRepresentation
bin111111000100101111001…
…110100011000111110101
3120100100212210021120120021
4333010233032203013311
51032003340033012233
613115111422005141
7625102554016066
oct77045716430765
916310783246507
104334414344693
11142123a999454
125a00567167b1
1325596c7056c4
1410db02c9a56d
1577b34ab1e2d
hex3f12f3a31f5

4334414344693 has 2 divisors, whose sum is σ = 4334414344694. Its totient is φ = 4334414344692.

The previous prime is 4334414344457. The next prime is 4334414344721. The reversal of 4334414344693 is 3964434144334.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2582648271844 + 1751766072849 = 1607062^2 + 1323543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4334414344693 is a prime.

It is a super-3 number, since 3×43344143446933 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4334414344693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4334414341693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2167207172346 + 2167207172347.

It is an arithmetic number, because the mean of its divisors is an integer number (2167207172347).

Almost surely, 24334414344693 is an apocalyptic number.

It is an amenable number.

4334414344693 is a deficient number, since it is larger than the sum of its proper divisors (1).

4334414344693 is an equidigital number, since it uses as much as digits as its factorization.

4334414344693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17915904, while the sum is 52.

The spelling of 4334414344693 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, six hundred ninety-three".