Base | Representation |
---|---|
bin | 100000101111101000111111… |
… | …101001101100100101010000 |
3 | 200212220100101121000101122212 |
4 | 200233220333221230211100 |
5 | 122333440141230030000 |
6 | 1230141515424251252 |
7 | 42222321536023205 |
oct | 4057507751544520 |
9 | 625810347011585 |
10 | 144011321330000 |
11 | 41982949583693 |
12 | 1419a438170b28 |
13 | 6248294b8c167 |
14 | 277c284063cac |
15 | 119b0e9359c35 |
hex | 82fa3fa6c950 |
144011321330000 has 100 divisors (see below), whose sum is σ = 349069846992768. Its totient is φ = 57537775920000.
The previous prime is 144011321329957. The next prime is 144011321330003. The reversal of 144011321330000 is 33123110441.
144011321330000 is digitally balanced in base 2 and base 3, because in such bases 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 (100).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144011321330003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 286355 + ... + 16973645.
Almost surely, 2144011321330000 is an apocalyptic number.
144011321330000 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 144011321330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174534923496384).
144011321330000 is an abundant number, since it is smaller than the sum of its proper divisors (205058525662768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144011321330000 is an equidigital number, since it uses as much as digits as its factorization.
144011321330000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16688182 (or 16688161 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 23.
Adding to 144011321330000 its reverse (33123110441), we get a palindrome (144044444440441).
The spelling of 144011321330000 in words is "one hundred forty-four trillion, eleven billion, three hundred twenty-one million, three hundred thirty thousand".
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