| Base | Representation |
|---|---|
| bin | 1100100100101010011010… |
| … | …0111000000000000000000 |
| 3 | 1210221120011022212120222000 |
| 4 | 3021022212213000000000 |
| 5 | 3302443023000000000 |
| 6 | 45222354040144000 |
| 7 | 2624515415134041 |
| oct | 311124647000000 |
| 9 | 53846138776860 |
| 10 | 13824000000000 |
| 11 | 444a7a8677733 |
| 12 | 1673225768000 |
| 13 | 79379cc31108 |
| 14 | 35b1299c68c8 |
| 15 | 18e8d996a000 |
| hex | c92a69c0000 |
13824000000000 has 760 divisors, whose sum is σ = 51199897100880. Its totient is φ = 3686400000000.
The previous prime is 13823999999981. The next prime is 13824000000053. The reversal of 13824000000000 is 42831.
It is a happy number.
The cubic root of 13824000000000 is 24000.
It is a perfect power (a cube), and thus also a powerful number.
It is a super-2 number, since 2×138240000000002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 13824000000000.
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 39 ways as a sum of consecutive naturals, for example, 2764799999998 + ... + 2764800000002.
Almost surely, 213824000000000 is an apocalyptic number.
13824000000000 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 13824000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25599948550440).
13824000000000 is an abundant number, since it is smaller than the sum of its proper divisors (37375897100880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13824000000000 is an frugal number, since it uses more digits than its factorization.
13824000000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 13824000000000 its reverse (42831), we get a palindrome (13824000042831).
The spelling of 13824000000000 in words is "thirteen trillion, eight hundred twenty-four billion", and thus it is an aban number.
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