Search a number
-
+
38033143241 is a prime number
BaseRepresentation
bin100011011010111100…
…111011010111001001
310122011121001212020212
4203122330323113021
51110342441040431
625245554130505
72514332245352
oct433274732711
9118147055225
1038033143241
1115147799495
127455280a35
133781740ab2
141bab29cd29
15ec8ebe72b
hex8daf3b5c9

38033143241 has 2 divisors, whose sum is σ = 38033143242. Its totient is φ = 38033143240.

The previous prime is 38033143219. The next prime is 38033143249. The reversal of 38033143241 is 14234133083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38023440016 + 9703225 = 194996^2 + 3115^2 .

It is an emirp because it is prime and its reverse (14234133083) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38033143241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38033143198 and 38033143207.

It is not a weakly prime, because it can be changed into another prime (38033143249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19016571620 + 19016571621.

It is an arithmetic number, because the mean of its divisors is an integer number (19016571621).

Almost surely, 238033143241 is an apocalyptic number.

It is an amenable number.

38033143241 is a deficient number, since it is larger than the sum of its proper divisors (1).

38033143241 is an equidigital number, since it uses as much as digits as its factorization.

38033143241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 38033143241 in words is "thirty-eight billion, thirty-three million, one hundred forty-three thousand, two hundred forty-one".