Base | Representation |
---|---|
bin | 11100000011101100111111… |
… | …100010101010100000000000 |
3 | 121011220220101020112021100110 |
4 | 130003230333202222200000 |
5 | 112133240212441323320 |
6 | 1114241023345351320 |
7 | 34664224241435121 |
oct | 3403547742524000 |
9 | 534826336467313 |
10 | 123399771432960 |
11 | 36356604a48500 |
12 | 11a0b851938540 |
13 | 53b171911ac29 |
14 | 226881ba2c048 |
15 | e3eda06945e0 |
hex | 703b3f8aa800 |
123399771432960 has 1152 divisors, whose sum is σ = 454271809904640. Its totient is φ = 28540452864000.
The previous prime is 123399771432911. The next prime is 123399771433033. The reversal of 123399771432960 is 69234177993321.
It is a Harshad number since it is a multiple of its sum of digits (66).
It is a junction number, because it is equal to n+sod(n) for n = 123399771432891 and 123399771432900.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8181373579 + ... + 8181388661.
It is an arithmetic number, because the mean of its divisors is an integer number (394333168320).
Almost surely, 2123399771432960 is an apocalyptic number.
123399771432960 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 123399771432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227135904952320).
123399771432960 is an abundant number, since it is smaller than the sum of its proper divisors (330872038471680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123399771432960 is a wasteful number, since it uses less digits than its factorization.
123399771432960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15237 (or 15206 counting only the distinct ones).
The product of its (nonzero) digits is 92588832, while the sum is 66.
The spelling of 123399771432960 in words is "one hundred twenty-three trillion, three hundred ninety-nine billion, seven hundred seventy-one million, four hundred thirty-two thousand, nine hundred sixty".
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