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144130000 = 245472971
BaseRepresentation
bin10001001011100…
…11111111010000
3101001012120012011
420211303333100
5243344130000
622145112304
73400041040
oct1045637720
9331176164
10144130000
11743a3003
1240328694
1323b25131
14151db720
15c9c02ba
hex8973fd0

144130000 has 200 divisors, whose sum is σ = 418366080. Its totient is φ = 47040000.

The previous prime is 144129977. The next prime is 144130001. The reversal of 144130000 is 31441.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144130001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2029965 + ... + 2030035.

Almost surely, 2144130000 is an apocalyptic number.

144130000 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 144130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209183040).

144130000 is an abundant number, since it is smaller than the sum of its proper divisors (274236080).

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

144130000 is an equidigital number, since it uses as much as digits as its factorization.

144130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 144130000 is about 12005.4154447066. The cubic root of 144130000 is about 524.3059612067.

Adding to 144130000 its reverse (31441), we get a palindrome (144161441).

The spelling of 144130000 in words is "one hundred forty-four million, one hundred thirty thousand".