Base | Representation |
---|---|
bin | 10001010001011… |
… | …00111010010000 |
3 | 101002122001012111 |
4 | 20220230322100 |
5 | 244042344230 |
6 | 22213235104 |
7 | 3406344235 |
oct | 1050547220 |
9 | 332561174 |
10 | 144887440 |
11 | 74870095 |
12 | 40632a94 |
13 | 2402bb19 |
14 | 1535778c |
15 | cabe92a |
hex | 8a2ce90 |
144887440 has 80 divisors (see below), whose sum is σ = 348477696. Its totient is φ = 55987200.
The previous prime is 144887437. The next prime is 144887453. The reversal of 144887440 is 44788441.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 144887393 and 144887402.
It is an unprimeable number.
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, 534505 + ... + 534775.
Almost surely, 2144887440 is an apocalyptic number.
144887440 is a gapful number since it is divisible by the number (10) 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 144887440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174238848).
144887440 is an abundant number, since it is smaller than the sum of its proper divisors (203590256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144887440 is a wasteful number, since it uses less digits than its factorization.
144887440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 488 (or 482 counting only the distinct ones).
The product of its (nonzero) digits is 114688, while the sum is 40.
The square root of 144887440 is about 12036.9198717944. The cubic root of 144887440 is about 525.2228109430. Note that the first 3 decimals are identical.
It can be divided in two parts, 1448 and 87440, that added together give a palindrome (88888).
The spelling of 144887440 in words is "one hundred forty-four million, eight hundred eighty-seven thousand, four hundred forty".
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