| Base | Representation |
|---|---|
| bin | 11000011100110001110… |
| … | …11111110000000110000 |
| 3 | 2222022101221011022022210 |
| 4 | 30032120323332000300 |
| 5 | 102230443111330143 |
| 6 | 1441532433532120 |
| 7 | 114460035155232 |
| oct | 14163073760060 |
| 9 | 2868357138283 |
| 10 | 840084480048 |
| 11 | 2a4306873960 |
| 12 | 116992714040 |
| 13 | 612b169a518 |
| 14 | 2c935c44252 |
| 15 | 16cbc415033 |
| hex | c398efe030 |
840084480048 has 320 divisors, whose sum is σ = 2522931950592. Its totient is φ = 238379581440.
The previous prime is 840084480013. The next prime is 840084480083.
It is a happy number.
840084480048 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (840084480013) and next prime (840084480083).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 840084479979 and 840084480006.
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 63 ways as a sum of consecutive naturals, for example, 121448686 + ... + 121455602.
Almost surely, 2840084480048 is an apocalyptic number.
840084480048 is a gapful number since it is divisible by the number (88) 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 840084480048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261465975296).
840084480048 is an abundant number, since it is smaller than the sum of its proper divisors (1682847470544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
840084480048 is a wasteful number, since it uses less digits than its factorization.
840084480048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7172 (or 7166 counting only the distinct ones).
The product of its (nonzero) digits is 1048576, while the sum is 48.
Multiplying 840084480048 by its sum of digits (48), we get a palindrome (40324055042304).
It can be divided in two parts, 8400 and 84480048, that added together give a palindrome (84488448).
The spelling of 840084480048 in words is "eight hundred forty billion, eighty-four million, four hundred eighty thousand, forty-eight".
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