Base | Representation |
---|---|
bin | 1100101100101111011010… |
… | …0010101011111100000000 |
3 | 1211102211101010221001100000 |
4 | 3023023312202223330000 |
5 | 3312231233140000000 |
6 | 45410225041200000 |
7 | 2640530463516036 |
oct | 313136642537400 |
9 | 54384333831300 |
10 | 13962780000000 |
11 | 44a3644334807 |
12 | 16960b6930000 |
13 | 7a38b8b18500 |
14 | 363b3319a556 |
15 | 19330d500000 |
hex | cb2f68abf00 |
13962780000000 has 2592 divisors, whose sum is σ = 59833555419456. Its totient is φ = 3234816000000.
The previous prime is 13962779999981. The next prime is 13962780000049. The reversal of 13962780000000 is 8726931.
13962780000000 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 (2592).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 13962780000000.
It is a congruent number.
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, 821339999992 + ... + 821340000008.
It is an arithmetic number, because the mean of its divisors is an integer number (23083933418).
Almost surely, 213962780000000 is an apocalyptic number.
13962780000000 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 13962780000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29916777709728).
13962780000000 is an abundant number, since it is smaller than the sum of its proper divisors (45870775419456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13962780000000 is an frugal number, since it uses more digits than its factorization.
13962780000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 109 (or 40 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
Adding to 13962780000000 its reverse (8726931), we get a palindrome (13962788726931).
The spelling of 13962780000000 in words is "thirteen trillion, nine hundred sixty-two billion, seven hundred eighty million", and thus it is an aban number.
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