Search a number
-
+
338445540737 is a prime number
BaseRepresentation
bin1001110110011001110…
…11010001110110000001
31012100120211222212000022
410323030323101312001
521021114024300422
6415251342303225
733310665426053
oct4731473216601
91170524885008
10338445540737
11120596759067
1255714887b15
1325bb8b31b95
14125490b18d3
158c0c990342
hex4ecced1d81

338445540737 has 2 divisors, whose sum is σ = 338445540738. Its totient is φ = 338445540736.

The previous prime is 338445540703. The next prime is 338445540761. The reversal of 338445540737 is 737045544833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210313042801 + 128132497936 = 458599^2 + 357956^2 .

It is a cyclic number.

It is not a de Polignac number, because 338445540737 - 228 = 338177105281 is a prime.

It is a super-2 number, since 2×3384455407372 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338445540787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169222770368 + 169222770369.

It is an arithmetic number, because the mean of its divisors is an integer number (169222770369).

Almost surely, 2338445540737 is an apocalyptic number.

It is an amenable number.

338445540737 is a deficient number, since it is larger than the sum of its proper divisors (1).

338445540737 is an equidigital number, since it uses as much as digits as its factorization.

338445540737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16934400, while the sum is 53.

The spelling of 338445540737 in words is "three hundred thirty-eight billion, four hundred forty-five million, five hundred forty thousand, seven hundred thirty-seven".