Search a number
-
+
114446950938 = 232103127486061
BaseRepresentation
bin110101010010110010…
…0011110001000011010
3101221102000010111020200
41222211210132020122
53333341404412223
6124324243203030
711161050013665
oct1524544361032
9357360114220
10114446950938
114459a358181
121a220076476
13aa3b8bb518
145779a406dc
152e9c707a43
hex1aa591e21a

114446950938 has 48 divisors (see below), whose sum is σ = 252347836416. Its totient is φ = 37481058720.

The previous prime is 114446950909. The next prime is 114446950967. The reversal of 114446950938 is 839059644411.

114446950938 is a `hidden beast` number, since 1 + 1 + 4 + 44 + 69 + 509 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (114446950909) and next prime (114446950967).

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 7573 + ... + 478488.

It is an arithmetic number, because the mean of its divisors is an integer number (5257246592).

Almost surely, 2114446950938 is an apocalyptic number.

114446950938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

114446950938 is an abundant number, since it is smaller than the sum of its proper divisors (137900885478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114446950938 is a wasteful number, since it uses less digits than its factorization.

114446950938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486299 (or 486296 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 114446950938 in words is "one hundred fourteen billion, four hundred forty-six million, nine hundred fifty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 103 127 206 254 309 381 618 762 927 1143 1854 2286 13081 26162 39243 78486 117729 235458 486061 972122 1458183 2916366 4374549 8749098 50064283 61729747 100128566 123459494 150192849 185189241 300385698 370378482 450578547 555567723 901157094 1111135446 6358163941 12716327882 19074491823 38148983646 57223475469 114446950938