Search a number
-
+
240310211244097 is a prime number
BaseRepresentation
bin110110101000111110010100…
…110001101111000001000001
31011111212102122210202001011211
4312220332110301233001001
5222444220303034302342
62211032553105210121
7101421561025423651
oct6650762461570101
91144772583661154
10240310211244097
116a62aa96411525
1222b5188b630941
13a4122040658c7
14434b10d472361
151cbb047b53c17
hexda8f94c6f041

240310211244097 has 2 divisors, whose sum is σ = 240310211244098. Its totient is φ = 240310211244096.

The previous prime is 240310211244091. The next prime is 240310211244143. The reversal of 240310211244097 is 790442112013042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220110723704641 + 20199487539456 = 14836129^2 + 4494384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240310211244097 is a prime.

It is not a weakly prime, because it can be changed into another prime (240310211244091) 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, 120155105622048 + 120155105622049.

It is an arithmetic number, because the mean of its divisors is an integer number (120155105622049).

Almost surely, 2240310211244097 is an apocalyptic number.

It is an amenable number.

240310211244097 is a deficient number, since it is larger than the sum of its proper divisors (1).

240310211244097 is an equidigital number, since it uses as much as digits as its factorization.

240310211244097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 240310211244097 in words is "two hundred forty trillion, three hundred ten billion, two hundred eleven million, two hundred forty-four thousand, ninety-seven".