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115340225040 = 243251719495959
BaseRepresentation
bin110101101101011010…
…0000010101000010000
3102000201020222111221200
41223122310002220100
53342204044200130
6124553033151200
711222144510445
oct1533264025020
9360636874850
10115340225040
1144a08606237
121a42b25b500
13ab5199b691
1458225299cc
153000d56760
hex1adad02a10

115340225040 has 240 divisors, whose sum is σ = 431723260800. Its totient is φ = 27424493568.

The previous prime is 115340225003. The next prime is 115340225041. The reversal of 115340225040 is 40522043511.

115340225040 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 402 + 250 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 115340224995 and 115340225013.

It is not an unprimeable number, because it can be changed into a prime (115340225041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15420 + ... + 480539.

It is an arithmetic number, because the mean of its divisors is an integer number (1798846920).

Almost surely, 2115340225040 is an apocalyptic number.

115340225040 is a gapful number since it is divisible by the number (10) 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 115340225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215861630400).

115340225040 is an abundant number, since it is smaller than the sum of its proper divisors (316383035760).

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

115340225040 is a wasteful number, since it uses less digits than its factorization.

115340225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496014 (or 496005 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 115340225040 its reverse (40522043511), we get a palindrome (155862268551).

The spelling of 115340225040 in words is "one hundred fifteen billion, three hundred forty million, two hundred twenty-five thousand, forty".