| Base | Representation |
|---|---|
| bin | 1000011000011100010… |
| … | …0011010000000000000 |
| 3 | 111202200121101221012100 |
| 4 | 2012013010122000000 |
| 5 | 4324403000000000 |
| 6 | 150052551430400 |
| 7 | 13255311542613 |
| oct | 2060704320000 |
| 9 | 452617357170 |
| 10 | 144000000000 |
| 11 | 5608527836a |
| 12 | 23aa9385400 |
| 13 | 1076b4b36bc |
| 14 | 6d8098217a |
| 15 | 3b2be96a00 |
| hex | 218711a000 |
144000000000 has 420 divisors, whose sum is σ = 519968208474. Its totient is φ = 38400000000.
The previous prime is 143999999993. The next prime is 144000000007. The reversal of 144000000000 is 441.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (143999999993) and next prime (144000000007).
It can be written as a sum of positive squares in 5 ways, for example, as 135471108096 + 8528891904 = 368064^2 + 92352^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (144000000007) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28799999998 + ... + 28800000002.
Almost surely, 2144000000000 is an apocalyptic number.
144000000000 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 144000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259984104237).
144000000000 is an abundant number, since it is smaller than the sum of its proper divisors (375968208474).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144000000000 is an frugal number, since it uses more digits than its factorization.
144000000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
Adding to 144000000000 its reverse (441), we get a palindrome (144000000441).
The spelling of 144000000000 in words is "one hundred forty-four billion", and thus it is an aban number.
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