| Base | Representation |
|---|---|
| bin | 1011111100010111110110… |
| … | …1111000011001000000000 |
| 3 | 1201111101112102120110100000 |
| 4 | 2333011331233003020000 |
| 5 | 3210122434033300230 |
| 6 | 43532402113200000 |
| 7 | 2523512565423300 |
| oct | 277057557031000 |
| 9 | 51441472513300 |
| 10 | 13131824509440 |
| 11 | 42031a265386a |
| 12 | 1581051560000 |
| 13 | 743430851b20 |
| 14 | 335825947600 |
| 15 | 17b8c7795b60 |
| hex | bf17dbc3200 |
13131824509440 has 2880 divisors, whose sum is σ = 61047082736640. Its totient is φ = 2678785966080.
The previous prime is 13131824509421. The next prime is 13131824509457. The reversal of 13131824509440 is 4490542813131.
13131824509440 is a `hidden beast` number, since 1 + 3 + 1 + 31 + 82 + 450 + 94 + 4 + 0 = 666.
13131824509440 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 (2880).
It is a super-2 number, since 2×131318245094402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12284213226 + ... + 12284214294.
It is an arithmetic number, because the mean of its divisors is an integer number (21196903728).
Almost surely, 213131824509440 is an apocalyptic number.
13131824509440 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 13131824509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30523541368320).
13131824509440 is an abundant number, since it is smaller than the sum of its proper divisors (47915258227200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13131824509440 is a wasteful number, since it uses less digits than its factorization.
13131824509440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1165 (or 1130 counting only the distinct ones).
The product of its (nonzero) digits is 414720, while the sum is 45.
The spelling of 13131824509440 in words is "thirteen trillion, one hundred thirty-one billion, eight hundred twenty-four million, five hundred nine thousand, four hundred forty".
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