| Base | Representation |
|---|---|
| bin | 10010111110110111100011… |
| … | …00111010110001100000000 |
| 3 | 12110210112210210021201110000 |
| 4 | 21133123301213112030000 |
| 5 | 20432402213211243310 |
| 6 | 224440132200240000 |
| 7 | 11535541125025200 |
| oct | 1137336147261400 |
| 9 | 173715723251400 |
| 10 | 41742545806080 |
| 11 | 12333a06977469 |
| 12 | 4821b9a170000 |
| 13 | 1a3a3c762c402 |
| 14 | a444c856a400 |
| 15 | 4c5c4579a4c0 |
| hex | 25f6f19d6300 |
41742545806080 has 2160 divisors, whose sum is σ = 180851793002496. Its totient is φ = 9156281057280.
The previous prime is 41742545806069. The next prime is 41742545806081. The reversal of 41742545806080 is 8060854524714.
41742545806080 is a `hidden beast` number, since 4 + 1 + 7 + 4 + 2 + 54 + 580 + 6 + 0 + 8 + 0 = 666.
41742545806080 is digitally balanced in base 2, 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 (2160).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (41742545806081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20001218797 + ... + 20001220883.
Almost surely, 241742545806080 is an apocalyptic number.
41742545806080 is a gapful number since it is divisible by the number (40) 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 41742545806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90425896501248).
41742545806080 is an abundant number, since it is smaller than the sum of its proper divisors (139109247196416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41742545806080 is a wasteful number, since it uses less digits than its factorization.
41742545806080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2292 (or 2262 counting only the distinct ones).
The product of its (nonzero) digits is 8601600, while the sum is 54.
The spelling of 41742545806080 in words is "forty-one trillion, seven hundred forty-two billion, five hundred forty-five million, eight hundred six thousand, eighty".
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