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144300000 = 253551337
BaseRepresentation
bin10001001100111…
…01011111100000
3101001112012101110
420212131133200
5243420100000
622152503320
73401346465
oct1046353740
9331465343
10144300000
11744a97a9
12403aab40
1323b84620
141524366c
15ca05850
hex899d7e0

144300000 has 288 divisors, whose sum is σ = 523653984. Its totient is φ = 34560000.

The previous prime is 144299989. The next prime is 144300001. The reversal of 144300000 is 3441.

144300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3899982 + ... + 3900018.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 2144300000 is an apocalyptic number.

144300000 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 144300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261826992).

144300000 is an abundant number, since it is smaller than the sum of its proper divisors (379353984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144300000 is an equidigital number, since it uses as much as digits as its factorization.

144300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 144300000 is about 12012.4934963562. The cubic root of 144300000 is about 524.5120182221.

Adding to 144300000 its reverse (3441), we get a palindrome (144303441).

The spelling of 144300000 in words is "one hundred forty-four million, three hundred thousand".