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114054416149 is a prime number
BaseRepresentation
bin110101000111000101…
…1000100011100010101
3101220101122111122202011
41222032023010130111
53332040412304044
6124221301544221
711145242353462
oct1521613043425
9356348448664
10114054416149
1144408820a63
121a130715071
13a9a8491b0b
14573d860669
152e7801b134
hex1a8e2c4715

114054416149 has 2 divisors, whose sum is σ = 114054416150. Its totient is φ = 114054416148.

The previous prime is 114054416089. The next prime is 114054416191. The reversal of 114054416149 is 941614450411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83069615524 + 30984800625 = 288218^2 + 176025^2 .

It is a cyclic number.

It is not a de Polignac number, because 114054416149 - 223 = 114046027541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114054416449) 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, 57027208074 + 57027208075.

It is an arithmetic number, because the mean of its divisors is an integer number (57027208075).

Almost surely, 2114054416149 is an apocalyptic number.

It is an amenable number.

114054416149 is a deficient number, since it is larger than the sum of its proper divisors (1).

114054416149 is an equidigital number, since it uses as much as digits as its factorization.

114054416149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 114054416149 in words is "one hundred fourteen billion, fifty-four million, four hundred sixteen thousand, one hundred forty-nine".