Base | Representation |
---|---|
bin | 10001001011101… |
… | …11001100100000 |
3 | 101001020020012200 |
4 | 20211313030200 |
5 | 243400040021 |
6 | 22145253200 |
7 | 3400124244 |
oct | 1045671440 |
9 | 331206180 |
10 | 144143136 |
11 | 74401965 |
12 | 40334200 |
13 | 23b2b0c7 |
14 | 15202424 |
15 | c9c4126 |
hex | 8977320 |
144143136 has 144 divisors (see below), whose sum is σ = 442260000. Its totient is φ = 44365824.
The previous prime is 144143071. The next prime is 144143141. The reversal of 144143136 is 631341441.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288615 + ... + 289113.
It is an arithmetic number, because the mean of its divisors is an integer number (3071250).
Almost surely, 2144143136 is an apocalyptic number.
144143136 is a gapful number since it is divisible by the number (16) 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 144143136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221130000).
144143136 is an abundant number, since it is smaller than the sum of its proper divisors (298116864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144143136 is a wasteful number, since it uses less digits than its factorization.
144143136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 591 (or 580 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 144143136 is about 12005.9625186821. The cubic root of 144143136 is about 524.3218891280.
Adding to 144143136 its reverse (631341441), we get a palindrome (775484577).
The spelling of 144143136 in words is "one hundred forty-four million, one hundred forty-three thousand, one hundred thirty-six".
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