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114418338049 is a prime number
BaseRepresentation
bin110101010001111011…
…1010100100100000001
3101221100000021210202001
41222203313110210001
53333312043304144
6124321342024001
711160251553331
oct1524367244401
9357300253661
10114418338049
1144585194964
121a212578001
13aa359b0a12
145775d130c1
152e99e54bd4
hex1aa3dd4901

114418338049 has 2 divisors, whose sum is σ = 114418338050. Its totient is φ = 114418338048.

The previous prime is 114418338031. The next prime is 114418338091. The reversal of 114418338049 is 940833814411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83675975824 + 30742362225 = 289268^2 + 175335^2 .

It is an emirp because it is prime and its reverse (940833814411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114418338049 - 229 = 113881467137 is a prime.

It is a super-2 number, since 2×1144183380492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114418333049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57209169024 + 57209169025.

It is an arithmetic number, because the mean of its divisors is an integer number (57209169025).

Almost surely, 2114418338049 is an apocalyptic number.

It is an amenable number.

114418338049 is a deficient number, since it is larger than the sum of its proper divisors (1).

114418338049 is an equidigital number, since it uses as much as digits as its factorization.

114418338049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 114418338049 in words is "one hundred fourteen billion, four hundred eighteen million, three hundred thirty-eight thousand, forty-nine".