Base | Representation |
---|---|
bin | 1000011000011101000… |
… | …1001100110110101000 |
3 | 111202200211201100001110 |
4 | 2012013101030312220 |
5 | 4324404324312044 |
6 | 150053151350320 |
7 | 13255352212245 |
oct | 2060721146650 |
9 | 452624640043 |
10 | 144003354024 |
11 | 56087159292 |
12 | 23aaa5223a0 |
13 | 1076c0b922a |
14 | 6d811b65cc |
15 | 3b2c40a6b9 |
hex | 218744cda8 |
144003354024 has 128 divisors (see below), whose sum is σ = 381575030400. Its totient is φ = 45161349120.
The previous prime is 144003353951. The next prime is 144003354031. The reversal of 144003354024 is 420453300441.
It is a super-2 number, since 2×1440033540242 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 144003353982 and 144003354000.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72253572 + ... + 72255564.
It is an arithmetic number, because the mean of its divisors is an integer number (2981054925).
Almost surely, 2144003354024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144003354024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190787515200).
144003354024 is an abundant number, since it is smaller than the sum of its proper divisors (237571676376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144003354024 is a wasteful number, since it uses less digits than its factorization.
144003354024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3035 (or 3031 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 30.
Adding to 144003354024 its reverse (420453300441), we get a palindrome (564456654465).
The spelling of 144003354024 in words is "one hundred forty-four billion, three million, three hundred fifty-four thousand, twenty-four".
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