Base | Representation |
---|---|
bin | 111000000100011111… |
… | …1101100101010000000 |
3 | 102111210120122202202122 |
4 | 1300020333230222000 |
5 | 3433044430000000 |
6 | 131152100103412 |
7 | 11461605053453 |
oct | 1601077545200 |
9 | 374716582678 |
10 | 120410000000 |
11 | 4707a3401a4 |
12 | 1b405094b68 |
13 | b47c11a514 |
14 | 5b8399149a |
15 | 31eae92085 |
hex | 1c08feca80 |
120410000000 has 128 divisors (see below), whose sum is σ = 299873255760. Its totient is φ = 48160000000.
The previous prime is 120409999943. The next prime is 120410000033. The reversal of 120410000000 is 14021.
It can be written as a sum of positive squares in 8 ways, for example, as 105718620736 + 14691379264 = 325144^2 + 121208^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9993980 + ... + 10006020.
Almost surely, 2120410000000 is an apocalyptic number.
120410000000 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 120410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149936627880).
120410000000 is an abundant number, since it is smaller than the sum of its proper divisors (179463255760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120410000000 is an frugal number, since it uses more digits than its factorization.
120410000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12090 (or 12048 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
Adding to 120410000000 its reverse (14021), we get a palindrome (120410014021).
The spelling of 120410000000 in words is "one hundred twenty billion, four hundred ten million", and thus it is an aban number.
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