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118142730000 = 24325441101317
BaseRepresentation
bin110111000000111011…
…0101111111100010000
3102021221120101112000200
41232001312233330100
53413424014330000
6130135104415200
711351454431031
oct1560166577420
9367846345020
10118142730000
1146116544739
121aa91917500
13b1aa494b39
145a0a802a88
153116dd8500
hex1b81daff10

118142730000 has 600 divisors, whose sum is σ = 428778165816. Its totient is φ = 30336000000.

The previous prime is 118142729993. The next prime is 118142730011. The reversal of 118142730000 is 37241811.

It can be written as a sum of positive squares in 20 ways, for example, as 115385219856 + 2757510144 = 339684^2 + 52512^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 372689842 + ... + 372690158.

Almost surely, 2118142730000 is an apocalyptic number.

118142730000 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 118142730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214389082908).

118142730000 is an abundant number, since it is smaller than the sum of its proper divisors (310635435816).

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

118142730000 is a wasteful number, since it uses less digits than its factorization.

118142730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 118142730000 its reverse (37241811), we get a palindrome (118179971811).

The spelling of 118142730000 in words is "one hundred eighteen billion, one hundred forty-two million, seven hundred thirty thousand".