Base | Representation |
---|---|
bin | 100100011110100… |
… | …1100001010010000 |
3 | 10011022011122112200 |
4 | 1020331030022100 |
5 | 10001321001034 |
6 | 321242323200 |
7 | 42221554353 |
oct | 11075141220 |
9 | 3138148480 |
10 | 1224000144 |
11 | 578a09474 |
12 | 2a1ab9500 |
13 | 166778553 |
14 | b87ba29a |
15 | 726cba99 |
hex | 48f4c290 |
1224000144 has 60 divisors (see below), whose sum is σ = 3429381696. Its totient is φ = 407537856.
The previous prime is 1224000139. The next prime is 1224000149. The reversal of 1224000144 is 4410004221.
1224000144 is a `hidden beast` number, since 122 + 400 + 0 + 144 = 666.
It is an interprime number because it is at equal distance from previous prime (1224000139) and next prime (1224000149).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1224000149) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137229 + ... + 145875.
Almost surely, 21224000144 is an apocalyptic number.
It is an amenable number.
1224000144 is an abundant number, since it is smaller than the sum of its proper divisors (2205381552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1224000144 is a wasteful number, since it uses less digits than its factorization.
1224000144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9644 (or 9635 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 1224000144 is about 34985.7134270548. The cubic root of 1224000144 is about 1069.6962901967.
Adding to 1224000144 its reverse (4410004221), we get a palindrome (5634004365).
The spelling of 1224000144 in words is "one billion, two hundred twenty-four million, one hundred forty-four", and thus it is an aban number.
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