| Base | Representation |
|---|---|
| bin | 11110100111110110… |
| … | …00000000010111010 |
| 3 | 1120102202102212201200 |
| 4 | 33103323000002322 |
| 5 | 232132213024041 |
| 6 | 11315205555030 |
| 7 | 1121256523026 |
| oct | 172373000272 |
| 9 | 46382385650 |
| 10 | 16440361146 |
| 11 | 6a77178730 |
| 12 | 3229a15a76 |
| 13 | 1720089861 |
| 14 | b1d641386 |
| 15 | 6634cd1b6 |
| hex | 3d3ec00ba |
16440361146 has 96 divisors (see below), whose sum is σ = 39818158848. Its totient is φ = 4859675520.
The previous prime is 16440361141. The next prime is 16440361159. The reversal of 16440361146 is 64116304461.
16440361146 is a `hidden beast` number, since 1 + 644 + 0 + 3 + 6 + 1 + 1 + 4 + 6 = 666.
16440361146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×164403611463 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 16440361146.
It is not an unprimeable number, because it can be changed into a prime (16440361141) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 2947216 + ... + 2952788.
It is an arithmetic number, because the mean of its divisors is an integer number (414772488).
Almost surely, 216440361146 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 16440361146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19909079424).
16440361146 is an abundant number, since it is smaller than the sum of its proper divisors (23377797702).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16440361146 is a wasteful number, since it uses less digits than its factorization.
16440361146 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5956 (or 5953 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 16440361146 in words is "sixteen billion, four hundred forty million, three hundred sixty-one thousand, one hundred forty-six".
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