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115340133384 = 233471923311877
BaseRepresentation
bin110101101101011001…
…1101100010000001000
3102000201020210212020000
41223122303230100020
53342204033232014
6124553031203000
711222143646310
oct1533263542010
9360636725200
10115340133384
1144a08553393
121a42b216460
13ab51968a48
145822504440
153000d39509
hex1adacec408

115340133384 has 640 divisors, whose sum is σ = 418845081600. Its totient is φ = 28883796480.

The previous prime is 115340133383. The next prime is 115340133397. The reversal of 115340133384 is 483331043511.

115340133384 is a `hidden beast` number, since 1 + 1 + 534 + 0 + 13 + 33 + 84 = 666.

It is a super-2 number, since 2×1153401333842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115340133383) 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 159 ways as a sum of consecutive naturals, for example, 61448254 + ... + 61450130.

It is an arithmetic number, because the mean of its divisors is an integer number (654445440).

Almost surely, 2115340133384 is an apocalyptic number.

115340133384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115340133384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209422540800).

115340133384 is an abundant number, since it is smaller than the sum of its proper divisors (303504948216).

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

115340133384 is a wasteful number, since it uses less digits than its factorization.

115340133384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 115340133384 its reverse (483331043511), we get a palindrome (598671176895).

The spelling of 115340133384 in words is "one hundred fifteen billion, three hundred forty million, one hundred thirty-three thousand, three hundred eighty-four".