Base | Representation |
---|---|
bin | 111001011101101111… |
… | …1111101100000000000 |
3 | 102210112021220110212000 |
4 | 1302323133331200000 |
5 | 4010213112131143 |
6 | 132405201104000 |
7 | 11626041336663 |
oct | 1627337754000 |
9 | 383467813760 |
10 | 123404802048 |
11 | 48376880310 |
12 | 1bb00028000 |
13 | b838701b38 |
14 | 5d896036da |
15 | 3323d5abd3 |
hex | 1cbb7fd800 |
123404802048 has 384 divisors, whose sum is σ = 416172556800. Its totient is φ = 35765452800.
The previous prime is 123404802007. The next prime is 123404802121. The reversal of 123404802048 is 840208404321.
123404802048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13985478 + ... + 13994298.
It is an arithmetic number, because the mean of its divisors is an integer number (1083782700).
Almost surely, 2123404802048 is an apocalyptic number.
123404802048 is a gapful number since it is divisible by the number (18) 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 123404802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208086278400).
123404802048 is an abundant number, since it is smaller than the sum of its proper divisors (292767754752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123404802048 is a wasteful number, since it uses less digits than its factorization.
123404802048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8886 (or 8860 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The spelling of 123404802048 in words is "one hundred twenty-three billion, four hundred four million, eight hundred two thousand, forty-eight".
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