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114235336728 = 233213811148879
BaseRepresentation
bin110101001100011110…
…1001110100000011000
3101220212020221101010100
41222120331032200120
53332423221233403
6124251243415400
711152600224642
oct1523075164030
9356766841110
10114235336728
11444a09622a7
121a181224560
13aa06ac8a06
1457598b7892
152e88d572a3
hex1a98f4e818

114235336728 has 48 divisors (see below), whose sum is σ = 309611671200. Its totient is φ = 38050839360.

The previous prime is 114235336723. The next prime is 114235336729. The reversal of 114235336728 is 827633532411.

114235336728 is a `hidden beast` number, since 1 + 1 + 42 + 3 + 533 + 6 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114235336723) 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 in 11 ways as a sum of consecutive naturals, for example, 475008 + ... + 673871.

It is an arithmetic number, because the mean of its divisors is an integer number (6450243150).

Almost surely, 2114235336728 is an apocalyptic number.

114235336728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114235336728 is an abundant number, since it is smaller than the sum of its proper divisors (195376334472).

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

114235336728 is a wasteful number, since it uses less digits than its factorization.

114235336728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150272 (or 1150265 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 114235336728 in words is "one hundred fourteen billion, two hundred thirty-five million, three hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1381 2762 4143 5524 8286 11048 12429 16572 24858 33144 49716 99432 1148879 2297758 3446637 4595516 6893274 9191032 10339911 13786548 20679822 27573096 41359644 82719288 1586601899 3173203798 4759805697 6346407596 9519611394 12692815192 14279417091 19039222788 28558834182 38078445576 57117668364 114235336728