Search a number
-
+
4336342646401 is a prime number
BaseRepresentation
bin111111000110100010001…
…010011011111010000001
3120100112212011201110020001
4333012202022123322001
51032021312204141101
613120031024120001
7625201420222003
oct77064212337201
916315764643201
104336342646401
11142203a415027
125a04b4466001
13255bb906822c
1410dc47010373
1577be9010901
hex3f1a229be81

4336342646401 has 2 divisors, whose sum is σ = 4336342646402. Its totient is φ = 4336342646400.

The previous prime is 4336342646371. The next prime is 4336342646413. The reversal of 4336342646401 is 1046462436334.

4336342646401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3235857724801 + 1100484921600 = 1798849^2 + 1049040^2 .

It is a cyclic number.

It is not a de Polignac number, because 4336342646401 - 215 = 4336342613633 is a prime.

It is not a weakly prime, because it can be changed into another prime (4336342644401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2168171323200 + 2168171323201.

It is an arithmetic number, because the mean of its divisors is an integer number (2168171323201).

Almost surely, 24336342646401 is an apocalyptic number.

It is an amenable number.

4336342646401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4336342646401 is an equidigital number, since it uses as much as digits as its factorization.

4336342646401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2985984, while the sum is 46.

The spelling of 4336342646401 in words is "four trillion, three hundred thirty-six billion, three hundred forty-two million, six hundred forty-six thousand, four hundred one".