Base | Representation |
---|---|
bin | 1011001110011001001111… |
… | …1100010011110110000000 |
3 | 1121200212122211201101011000 |
4 | 2303212103330103312000 |
5 | 3104202224303231310 |
6 | 42125445020452000 |
7 | 2412450234304305 |
oct | 263462374236600 |
9 | 47625584641130 |
10 | 12341923102080 |
11 | 3a291a8924200 |
12 | 1473b450aa000 |
13 | 6b6ab8b32970 |
14 | 3094d088b0ac |
15 | 166095d394c0 |
hex | b3993f13d80 |
12341923102080 has 3072 divisors, whose sum is σ = 54318871756800. Its totient is φ = 2627665920000.
The previous prime is 12341923102079. The next prime is 12341923102097. The reversal of 12341923102080 is 8020132914321.
12341923102080 is a `hidden beast` number, since 1 + 2 + 3 + 419 + 2 + 31 + 0 + 208 + 0 = 666.
12341923102080 is digitally balanced in base 2, 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 congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81734590005 + ... + 81734590155.
It is an arithmetic number, because the mean of its divisors is an integer number (17681924400).
Almost surely, 212341923102080 is an apocalyptic number.
12341923102080 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 12341923102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159435878400).
12341923102080 is an abundant number, since it is smaller than the sum of its proper divisors (41976948654720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12341923102080 is a wasteful number, since it uses less digits than its factorization.
12341923102080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 342 (or 313 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The spelling of 12341923102080 in words is "twelve trillion, three hundred forty-one billion, nine hundred twenty-three million, one hundred two thousand, eighty".
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