Search a number
-
+
4334414343257 is a prime number
BaseRepresentation
bin111111000100101111001…
…110100010110001011001
3120100100212210021111121002
4333010233032202301121
51032003340032441012
613115111421554345
7625102554011645
oct77045716426131
916310783244532
104334414343257
11142123a998369
125a00567159b5
1325596c704b5b
1410db02c99c25
1577b34ab17c2
hex3f12f3a2c59

4334414343257 has 2 divisors, whose sum is σ = 4334414343258. Its totient is φ = 4334414343256.

The previous prime is 4334414343253. The next prime is 4334414343271. The reversal of 4334414343257 is 7523434144334.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3303775181641 + 1030639161616 = 1817629^2 + 1015204^2 .

It is a cyclic number.

It is not a de Polignac number, because 4334414343257 - 22 = 4334414343253 is a prime.

It is not a weakly prime, because it can be changed into another prime (4334414343253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2167207171628 + 2167207171629.

It is an arithmetic number, because the mean of its divisors is an integer number (2167207171629).

Almost surely, 24334414343257 is an apocalyptic number.

It is an amenable number.

4334414343257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4334414343257 is an equidigital number, since it uses as much as digits as its factorization.

4334414343257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5806080, while the sum is 47.

The spelling of 4334414343257 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-three thousand, two hundred fifty-seven".