| Base | Representation |
|---|---|
| bin | 1110111110101100… |
| … | …11111001000000000 |
| 3 | 202202110210010112000 |
| 4 | 13133112133020000 |
| 5 | 112432244243440 |
| 6 | 3410003504000 |
| 7 | 403202261121 |
| oct | 73726371000 |
| 9 | 22673703460 |
| 10 | 8042181120 |
| 11 | 3457668786 |
| 12 | 1685388000 |
| 13 | 9b21c166c |
| 14 | 564128048 |
| 15 | 32107d730 |
| hex | 1df59f200 |
8042181120 has 160 divisors (see below), whose sum is σ = 28566743040. Its totient is φ = 2144563200.
The previous prime is 8042181073. The next prime is 8042181131. The reversal of 8042181120 is 211812408.
It is a tau number, because it is divible by the number of its divisors (160).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10945 + ... + 127295.
It is an arithmetic number, because the mean of its divisors is an integer number (178542144).
Almost surely, 28042181120 is an apocalyptic number.
8042181120 is a gapful number since it is divisible by the number (80) 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 8042181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283371520).
8042181120 is an abundant number, since it is smaller than the sum of its proper divisors (20524561920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8042181120 is a wasteful number, since it uses less digits than its factorization.
8042181120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116383 (or 116361 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 27.
The square root of 8042181120 is about 89678.2087243049. The cubic root of 8042181120 is about 2003.5089334261.
Adding to 8042181120 its reverse (211812408), we get a palindrome (8253993528).
The spelling of 8042181120 in words is "eight billion, forty-two million, one hundred eighty-one thousand, one hundred twenty".
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