Base | Representation |
---|---|
bin | 10001001101111… |
… | …00111010010000 |
3 | 101001202201220200 |
4 | 20212330322100 |
5 | 243433204223 |
6 | 22155335200 |
7 | 3402423615 |
oct | 1046747220 |
9 | 331681820 |
10 | 144428688 |
11 | 74587458 |
12 | 40451500 |
13 | 23bcb081 |
14 | 1527850c |
15 | ca2da43 |
hex | 89bce90 |
144428688 has 60 divisors (see below), whose sum is σ = 407205708. Its totient is φ = 47784960.
The previous prime is 144428677. The next prime is 144428699. The reversal of 144428688 is 886824441.
144428688 is a `hidden beast` number, since 144 + 428 + 6 + 88 = 666.
It is an interprime number because it is at equal distance from previous prime (144428677) and next prime (144428699).
It can be written as a sum of positive squares in 2 ways, for example, as 26749584 + 117679104 = 5172^2 + 10848^2 .
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16068 + ... + 23388.
Almost surely, 2144428688 is an apocalyptic number.
144428688 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 144428688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203602854).
144428688 is an abundant number, since it is smaller than the sum of its proper divisors (262777020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144428688 is a wasteful number, since it uses less digits than its factorization.
144428688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7472 (or 7463 counting only the distinct ones).
The product of its digits is 393216, while the sum is 45.
The square root of 144428688 is about 12017.8487259576. The cubic root of 144428688 is about 524.6678933603.
The spelling of 144428688 in words is "one hundred forty-four million, four hundred twenty-eight thousand, six hundred eighty-eight".
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