Base | Representation |
---|---|
bin | 1000011000011100010… |
… | …0011010000110110000 |
3 | 111202200121101221210100 |
4 | 2012013010122012300 |
5 | 4324403000003212 |
6 | 150052551432400 |
7 | 13255311544101 |
oct | 2060704320660 |
9 | 452617357710 |
10 | 144000000432 |
11 | 56085278722 |
12 | 23aa9385700 |
13 | 1076b4b3962 |
14 | 6d809823a8 |
15 | 3b2be96bdc |
hex | 218711a1b0 |
144000000432 has 120 divisors (see below), whose sum is σ = 421894497024. Its totient is φ = 45763166592.
The previous prime is 144000000413. The next prime is 144000000481. The reversal of 144000000432 is 234000000441.
It is a Harshad number since it is a multiple of its sum of digits (18).
144000000432 is a modest number, since divided by 432 gives 144 as remainder.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945973 + ... + 1087595.
Almost surely, 2144000000432 is an apocalyptic number.
144000000432 is a gapful number since it is divisible by the number (12) 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 144000000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210947248512).
144000000432 is an abundant number, since it is smaller than the sum of its proper divisors (277894496592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144000000432 is a wasteful number, since it uses less digits than its factorization.
144000000432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 141967 (or 141958 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 144000000432 its reverse (234000000441), we get a palindrome (378000000873).
Subtracting 144000000432 from its reverse (234000000441), we obtain a palindrome (90000000009).
The spelling of 144000000432 in words is "one hundred forty-four billion, four hundred thirty-two", and thus it is an aban number.
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