| Base | Representation |
|---|---|
| bin | 1000010111101010000000… |
| … | …00110110100000000000000 |
| 3 | 2102011111112211010021002000 |
| 4 | 10023311000012310000000 |
| 5 | 4403021430130003130 |
| 6 | 103051051155224000 |
| 7 | 3606501213030600 |
| oct | 413650006640000 |
| 9 | 72144484107060 |
| 10 | 18405010391040 |
| 11 | 5956580603599 |
| 12 | 20930208a8000 |
| 13 | a3677b417130 |
| 14 | 478b43178c00 |
| 15 | 21db535ac260 |
| hex | 10bd401b4000 |
18405010391040 has 1440 divisors, whose sum is σ = 81983600213760. Its totient is φ = 3882957668352.
The previous prime is 18405010391023. The next prime is 18405010391051. The reversal of 18405010391040 is 4019301050481.
18405010391040 is a `hidden beast` number, since 1 + 8 + 40 + 501 + 0 + 3 + 9 + 104 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
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 = 18405010390986 and 18405010391004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408935549 + ... + 1408948611.
It is an arithmetic number, because the mean of its divisors is an integer number (56933055704).
Almost surely, 218405010391040 is an apocalyptic number.
18405010391040 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 18405010391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40991800106880).
18405010391040 is an abundant number, since it is smaller than the sum of its proper divisors (63578589822720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18405010391040 is a wasteful number, since it uses less digits than its factorization.
18405010391040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13132 (or 13093 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 36.
The spelling of 18405010391040 in words is "eighteen trillion, four hundred five billion, ten million, three hundred ninety-one thousand, forty".
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