| Base | Representation |
|---|---|
| bin | 10001001010101… |
| … | …10100000000000 |
| 3 | 101000222102111200 |
| 4 | 20211112200000 |
| 5 | 243331243331 |
| 6 | 22142341200 |
| 7 | 3366025641 |
| oct | 1045264000 |
| 9 | 330872450 |
| 10 | 144009216 |
| 11 | 7432028a |
| 12 | 4028a800 |
| 13 | 23ab2170 |
| 14 | 151a96c8 |
| 15 | c9995e6 |
| hex | 8956800 |
144009216 has 144 divisors (see below), whose sum is σ = 448664580. Its totient is φ = 44236800.
The previous prime is 144009191. The next prime is 144009221. The reversal of 144009216 is 612900441.
144009216 is a `hidden beast` number, since 1 + 440 + 0 + 9 + 216 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 144000000 + 9216 = 12000^2 + 96^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a self number, because there is not a number n which added to its sum of digits gives 144009216.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239316 + ... + 239916.
Almost surely, 2144009216 is an apocalyptic number.
144009216 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 144009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224332290).
144009216 is an abundant number, since it is smaller than the sum of its proper divisors (304655364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144009216 is a wasteful number, since it uses less digits than its factorization.
144009216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 642 (or 619 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 144009216 is about 12000.3839938562. The cubic root of 144009216 is about 524.1594604332.
Adding to 144009216 its reverse (612900441), we get a palindrome (756909657).
It can be divided in two parts, 14400 and 9216, that multiplied together give a square (132710400 = 115202).
The spelling of 144009216 in words is "one hundred forty-four million, nine thousand, two hundred sixteen".
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