Search a number
-
+
93144038401 is a prime number
BaseRepresentation
bin101011010111111010…
…0010011110000000001
322220102100221102000001
41112233310103300001
53011224333212101
6110442332000001
76505124156161
oct1265764236001
9286370842001
1093144038401
1136558421737
1216075900001
138a252c902b
1447186ba5a1
1526523c3901
hex15afd13c01

93144038401 has 2 divisors, whose sum is σ = 93144038402. Its totient is φ = 93144038400.

The previous prime is 93144038341. The next prime is 93144038413. The reversal of 93144038401 is 10483044139.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88899385600 + 4244652801 = 298160^2 + 65151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93144038401 is a prime.

It is not a weakly prime, because it can be changed into another prime (93144098401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46572019200 + 46572019201.

It is an arithmetic number, because the mean of its divisors is an integer number (46572019201).

Almost surely, 293144038401 is an apocalyptic number.

It is an amenable number.

93144038401 is a deficient number, since it is larger than the sum of its proper divisors (1).

93144038401 is an equidigital number, since it uses as much as digits as its factorization.

93144038401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 93144038401 in words is "ninety-three billion, one hundred forty-four million, thirty-eight thousand, four hundred one".