Base | Representation |
---|---|
bin | 10001001010111… |
… | …00101010001000 |
3 | 101001000201002220 |
4 | 20211130222020 |
5 | 243333100230 |
6 | 22143054040 |
7 | 3366162324 |
oct | 1045345210 |
9 | 331021086 |
10 | 144034440 |
11 | 74338230 |
12 | 402a1320 |
13 | 23ac07a4 |
14 | 151b4984 |
15 | c9a1d10 |
hex | 895ca88 |
144034440 has 128 divisors (see below), whose sum is σ = 496281600. Its totient is φ = 33073920.
The previous prime is 144034439. The next prime is 144034483. The reversal of 144034440 is 44430441.
It is a super-2 number, since 2×1440344402 = 41491839812227200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 144034440.
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 31 ways as a sum of consecutive naturals, for example, 22209 + ... + 27951.
It is an arithmetic number, because the mean of its divisors is an integer number (3877200).
Almost surely, 2144034440 is an apocalyptic number.
144034440 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 144034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248140800).
144034440 is an abundant number, since it is smaller than the sum of its proper divisors (352247160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144034440 is a wasteful number, since it uses less digits than its factorization.
144034440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5787 (or 5783 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 144034440 is about 12001.4349142092. The cubic root of 144034440 is about 524.1900617765.
Adding to 144034440 its reverse (44430441), we get a palindrome (188464881).
The spelling of 144034440 in words is "one hundred forty-four million, thirty-four thousand, four hundred forty".
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