Base | Representation |
---|---|
bin | 110110101000110100… |
… | …0111110111100000000 |
3 | 102012212012021101022100 |
4 | 1231101220332330000 |
5 | 3410244424040130 |
6 | 125522530510400 |
7 | 11322432654261 |
oct | 1552150767400 |
9 | 365765241270 |
10 | 117333815040 |
11 | 45840974982 |
12 | 1a8a6a35400 |
13 | b0aba10230 |
14 | 59711d6968 |
15 | 30bad9ec60 |
hex | 1b51a3ef00 |
117333815040 has 648 divisors, whose sum is σ = 464591863008. Its totient is φ = 27173191680.
The previous prime is 117333814979. The next prime is 117333815063. The reversal of 117333815040 is 40518333711.
117333815040 is a `hidden beast` number, since 1 + 1 + 73 + 3 + 3 + 81 + 504 + 0 = 666.
117333815040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 117333814986 and 117333815004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43279285 + ... + 43281995.
Almost surely, 2117333815040 is an apocalyptic number.
117333815040 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 117333815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232295931504).
117333815040 is an abundant number, since it is smaller than the sum of its proper divisors (347258047968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117333815040 is a wasteful number, since it uses less digits than its factorization.
117333815040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2785 (or 2751 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The spelling of 117333815040 in words is "one hundred seventeen billion, three hundred thirty-three million, eight hundred fifteen thousand, forty".
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