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116300874240 = 293258296089
BaseRepresentation
bin110110001010000010…
…0101000001000000000
3102010012012121112220200
41230110010220020000
53401141010433430
6125232231205200
711255021056125
oct1542404501000
9363165545820
10116300874240
11453608a21a1
121a658b16800
13ac75a0b665
1458b3d5274c
15305a363460
hex1b14128200

116300874240 has 240 divisors, whose sum is σ = 403334731800. Its totient is φ = 30971068416.

The previous prime is 116300874197. The next prime is 116300874241. The reversal of 116300874240 is 42478003611.

116300874240 is a `hidden beast` number, since 11 + 630 + 0 + 8 + 7 + 4 + 2 + 4 + 0 = 666.

116300874240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82309314816 + 33991559424 = 286896^2 + 184368^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 116300874195 and 116300874204.

It is not an unprimeable number, because it can be changed into a prime (116300874241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19097116 + ... + 19103204.

Almost surely, 2116300874240 is an apocalyptic number.

116300874240 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 116300874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201667365900).

116300874240 is an abundant number, since it is smaller than the sum of its proper divisors (287033857560).

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

116300874240 is an equidigital number, since it uses as much as digits as its factorization.

116300874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6947 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 116300874240 its reverse (42478003611), we get a palindrome (158778877851).

The spelling of 116300874240 in words is "one hundred sixteen billion, three hundred million, eight hundred seventy-four thousand, two hundred forty".