Base | Representation |
---|---|
bin | 10001001101001… |
… | …11110110000000 |
3 | 101001121100112211 |
4 | 20212213312000 |
5 | 243422424100 |
6 | 22153431504 |
7 | 3401614216 |
oct | 1046476600 |
9 | 331540484 |
10 | 144342400 |
11 | 74528644 |
12 | 4040b594 |
13 | 23b9aa07 |
14 | 15254cb6 |
15 | ca131ba |
hex | 89a7d80 |
144342400 has 96 divisors (see below), whose sum is σ = 365211000. Its totient is φ = 56340480.
The previous prime is 144342383. The next prime is 144342403. The reversal of 144342400 is 4243441.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144342403) 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, 137076 + ... + 138124.
Almost surely, 2144342400 is an apocalyptic number.
144342400 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 144342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182605500).
144342400 is an abundant number, since it is smaller than the sum of its proper divisors (220868600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144342400 is a wasteful number, since it uses less digits than its factorization.
144342400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1116 (or 1099 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
The square root of 144342400 is about 12014.2581959936. The cubic root of 144342400 is about 524.5633860478.
Adding to 144342400 its reverse (4243441), we get a palindrome (148585841).
The spelling of 144342400 in words is "one hundred forty-four million, three hundred forty-two thousand, four hundred".
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