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144000000 = 2103256
BaseRepresentation
bin10001001010101…
…00010000000000
3101000221221212100
420211110100000
5243331000000
622142230400
73365660034
oct1045242000
9330857770
10144000000
1174314371
1240285400
1323aaac01
14151a61c4
15c996a00
hex8954400

144000000 has 231 divisors, whose sum is σ = 519739441. Its totient is φ = 38400000.

The previous prime is 143999983. The next prime is 144000001. The reversal of 144000000 is 441.

The square root of 144000000 is 12000.

It is a perfect power (a square), and thus also a powerful number.

144000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 126157824 + 17842176 = 11232^2 + 4224^2 .

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 a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 28799998 + ... + 28800002.

Almost surely, 2144000000 is an apocalyptic number.

144000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144000000 is the 12000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144000000

144000000 is an abundant number, since it is smaller than the sum of its proper divisors (375739441).

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

144000000 is an frugal number, since it uses more digits than its factorization.

144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 144000000 is about 524.1482788418.

Multiplying 144000000 by its product of nonzero digits (16), we get a square (2304000000 = 480002).

144000000 divided by its product of nonzero digits (16) gives a square (9000000 = 30002).

Adding to 144000000 its reverse (441), we get a palindrome (144000441).

Multiplying 144000000 by its reverse (441), we get a square (63504000000 = 2520002).

The spelling of 144000000 in words is "one hundred forty-four million", and thus it is an aban number.