| Base | Representation |
|---|---|
| bin | 11110101000000010… |
| … | …11110111001110000 |
| 3 | 1120102212122012200000 |
| 4 | 33110001132321300 |
| 5 | 232133131413100 |
| 6 | 11315310230000 |
| 7 | 1121310131103 |
| oct | 172401367160 |
| 9 | 46385565600 |
| 10 | 16442060400 |
| 11 | 6a78129377 |
| 12 | 322a4b5300 |
| 13 | 172053312c |
| 14 | b1d96473a |
| 15 | 663716900 |
| hex | 3d405ee70 |
16442060400 has 720 divisors, whose sum is σ = 64643779200. Its totient is φ = 3997486080.
The previous prime is 16442060399. The next prime is 16442060441. The reversal of 16442060400 is 406024461.
16442060400 is a `hidden beast` number, since 16 + 4 + 42 + 0 + 604 + 0 + 0 = 666.
16442060400 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 (720).
It is a super-3 number, since 3×164420604003 (a number of 32 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53557047 + ... + 53557353.
Almost surely, 216442060400 is an apocalyptic number.
16442060400 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 16442060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32321889600).
16442060400 is an abundant number, since it is smaller than the sum of its proper divisors (48201718800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16442060400 is a wasteful number, since it uses less digits than its factorization.
16442060400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 388 (or 365 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 16442060400 its reverse (406024461), we get a palindrome (16848084861).
The spelling of 16442060400 in words is "sixteen billion, four hundred forty-two million, sixty thousand, four hundred".
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