Base | Representation |
---|---|
bin | 10001001010111… |
… | …10011110000000 |
3 | 101001001002021120 |
4 | 20211132132000 |
5 | 243333314411 |
6 | 22143152240 |
7 | 3366223050 |
oct | 1045363600 |
9 | 331032246 |
10 | 144041856 |
11 | 74342862 |
12 | 402a5680 |
13 | 23ac3c8a |
14 | 151b7560 |
15 | c9a4106 |
hex | 895e780 |
144041856 has 128 divisors (see below), whose sum is σ = 448277760. Its totient is φ = 40120320.
The previous prime is 144041803. The next prime is 144041879. The reversal of 144041856 is 658140441.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109555 + ... + 110861.
It is an arithmetic number, because the mean of its divisors is an integer number (3502170).
Almost surely, 2144041856 is an apocalyptic number.
144041856 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 144041856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224138880).
144041856 is an abundant number, since it is smaller than the sum of its proper divisors (304235904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144041856 is a wasteful number, since it uses less digits than its factorization.
144041856 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 33.
The square root of 144041856 is about 12001.7438732877. The cubic root of 144041856 is about 524.1990580665.
The spelling of 144041856 in words is "one hundred forty-four million, forty-one thousand, eight hundred fifty-six".
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