Base | Representation |
---|---|
bin | 10001010001110… |
… | …01011011000000 |
3 | 101002201122111120 |
4 | 20220321123000 |
5 | 244101014223 |
6 | 22214312240 |
7 | 3406646526 |
oct | 1050713300 |
9 | 332648446 |
10 | 144938688 |
11 | 748a5644 |
12 | 40658680 |
13 | 2404924b |
14 | 1536c316 |
15 | cacebe3 |
hex | 8a396c0 |
144938688 has 112 divisors (see below), whose sum is σ = 410382720. Its totient is φ = 45010944.
The previous prime is 144938687. The next prime is 144938699. The reversal of 144938688 is 886839441.
It is a super-2 number, since 2×1449386882 = 42014446558322688, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 144938688.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144938683) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244120 + ... + 244712.
Almost surely, 2144938688 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205191360).
144938688 is an abundant number, since it is smaller than the sum of its proper divisors (265444032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144938688 is a wasteful number, since it uses less digits than its factorization.
144938688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 694 (or 684 counting only the distinct ones).
The product of its digits is 1327104, while the sum is 51.
The square root of 144938688 is about 12039.0484673831. The cubic root of 144938688 is about 525.2847289986.
The spelling of 144938688 in words is "one hundred forty-four million, nine hundred thirty-eight thousand, six hundred eighty-eight".
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