| Base | Representation |
|---|---|
| bin | 11010100111111110… |
| … | …01000010111000000 |
| 3 | 1100220011121102001200 |
| 4 | 31103333020113000 |
| 5 | 213233223211003 |
| 6 | 10322213101200 |
| 7 | 1014134441100 |
| oct | 152377102700 |
| 9 | 40804542050 |
| 10 | 14293960128 |
| 11 | 6075627898 |
| 12 | 292b027800 |
| 13 | 146a4a3796 |
| 14 | 998557200 |
| 15 | 589d4c6a3 |
| hex | 353fc85c0 |
14293960128 has 504 divisors, whose sum is σ = 52145817984. Its totient is φ = 3719761920.
The previous prime is 14293960127. The next prime is 14293960151. The reversal of 14293960128 is 82106939241.
14293960128 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 39 + 601 + 2 + 8 = 666.
14293960128 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 (504).
It is a super-3 number, since 3×142939601283 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14293960123) 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 71 ways as a sum of consecutive naturals, for example, 461095473 + ... + 461095503.
Almost surely, 214293960128 is an apocalyptic number.
14293960128 is a gapful number since it is divisible by the number (18) 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 14293960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26072908992).
14293960128 is an abundant number, since it is smaller than the sum of its proper divisors (37851857856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14293960128 is an equidigital number, since it uses as much as digits as its factorization.
14293960128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 60 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 45.
The spelling of 14293960128 in words is "fourteen billion, two hundred ninety-three million, nine hundred sixty thousand, one hundred twenty-eight".
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