| Base | Representation |
|---|---|
| bin | 1101111111111010000… |
| … | …0001110111000000000 |
| 3 | 211222202101010110012200 |
| 4 | 3133332200032320000 |
| 5 | 12420012211014210 |
| 6 | 302251520553200 |
| 7 | 23242433212152 |
| oct | 3377640167000 |
| 9 | 758671113180 |
| 10 | 240493063680 |
| 11 | 92aa1079291 |
| 12 | 3a738782800 |
| 13 | 198a859859c |
| 14 | b8d5d5aad2 |
| 15 | 63c83a40c0 |
| hex | 37fe80ee00 |
240493063680 has 480 divisors, whose sum is σ = 890386136640. Its totient is φ = 59841576960.
The previous prime is 240493063633. The next prime is 240493063793. The reversal of 240493063680 is 86360394042.
240493063680 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 9 + 3 + 0 + 636 + 8 + 0 = 666.
240493063680 is digitally balanced in base 2 and base 3, because in such bases 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 (480).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21721186 + ... + 21732254.
It is an arithmetic number, because the mean of its divisors is an integer number (1854971118).
Almost surely, 2240493063680 is an apocalyptic number.
240493063680 is a gapful number since it is divisible by the number (20) 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 240493063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445193068320).
240493063680 is an abundant number, since it is smaller than the sum of its proper divisors (649893072960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240493063680 is a wasteful number, since it uses less digits than its factorization.
240493063680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11162 (or 11143 counting only the distinct ones).
The product of its (nonzero) digits is 746496, while the sum is 45.
The spelling of 240493063680 in words is "two hundred forty billion, four hundred ninety-three million, sixty-three thousand, six hundred eighty".
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