| Base | Representation |
|---|---|
| bin | 1011101110011000101… |
| … | …1011000110010111000 |
| 3 | 201020221000112102112120 |
| 4 | 2323212023120302320 |
| 5 | 11300012120143230 |
| 6 | 232311421041240 |
| 7 | 20360425536132 |
| oct | 2734613306270 |
| 9 | 636830472476 |
| 10 | 201430240440 |
| 11 | 78476134aa0 |
| 12 | 330566b6220 |
| 13 | 15cc17281b0 |
| 14 | 9a6c026052 |
| 15 | 538dcde310 |
| hex | 2ee62d8cb8 |
201430240440 has 512 divisors, whose sum is σ = 744891033600. Its totient is φ = 42900480000.
The previous prime is 201430240393. The next prime is 201430240463. The reversal of 201430240440 is 44042034102.
It is a happy number.
201430240440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2014302404403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 201430240440.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35329590 + ... + 35335290.
It is an arithmetic number, because the mean of its divisors is an integer number (1454865300).
Almost surely, 2201430240440 is an apocalyptic number.
201430240440 is a gapful number since it is divisible by the number (20) 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 201430240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372445516800).
201430240440 is an abundant number, since it is smaller than the sum of its proper divisors (543460793160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201430240440 is a wasteful number, since it uses less digits than its factorization.
201430240440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5839 (or 5835 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
Adding to 201430240440 its reverse (44042034102), we get a palindrome (245472274542).
The spelling of 201430240440 in words is "two hundred one billion, four hundred thirty million, two hundred forty thousand, four hundred forty".
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