Base | Representation |
---|---|
bin | 10001001010110… |
… | …11000110000000 |
3 | 101001000101022120 |
4 | 20211123012000 |
5 | 243332344112 |
6 | 22143004240 |
7 | 3366134541 |
oct | 1045330600 |
9 | 331011276 |
10 | 144028032 |
11 | 74333435 |
12 | 40299680 |
13 | 23aba8b5 |
14 | 151b24c8 |
15 | c99ee8c |
hex | 895b180 |
144028032 has 64 divisors (see below), whose sum is σ = 385172400. Its totient is φ = 47683584.
The previous prime is 144028021. The next prime is 144028043. The reversal of 144028032 is 230820441.
It is an interprime number because it is at equal distance from previous prime (144028021) and next prime (144028043).
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 144027993 and 144028011.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59094 + ... + 61482.
Almost surely, 2144028032 is an apocalyptic number.
144028032 is a gapful number since it is divisible by the number (12) 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 144028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192586200).
144028032 is an abundant number, since it is smaller than the sum of its proper divisors (241144368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144028032 is a wasteful number, since it uses less digits than its factorization.
144028032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2563 (or 2551 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 144028032 is about 12001.1679431629. The cubic root of 144028032 is about 524.1822880345.
Adding to 144028032 its reverse (230820441), we get a palindrome (374848473).
The spelling of 144028032 in words is "one hundred forty-four million, twenty-eight thousand, thirty-two".
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