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144243000 = 233253113147
BaseRepresentation
bin10001001100011…
…11100100111000
3101001102022012100
420212033210320
5243411234000
622151343400
73401021346
oct1046174470
9331368170
10144243000
117446a9a0
1240381b60
1323b646b5
141522a996
15c9e3a00
hex898f938

144243000 has 384 divisors, whose sum is σ = 560701440. Its totient is φ = 33120000.

The previous prime is 144242999. The next prime is 144243007. The reversal of 144243000 is 342441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144243007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3068977 + ... + 3069023.

It is an arithmetic number, because the mean of its divisors is an integer number (1460160).

Almost surely, 2144243000 is an apocalyptic number.

144243000 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 144243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280350720).

144243000 is an abundant number, since it is smaller than the sum of its proper divisors (416458440).

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

144243000 is a wasteful number, since it uses less digits than its factorization.

144243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144243000 is about 12010.1207321159. The cubic root of 144243000 is about 524.4429465601.

Adding to 144243000 its reverse (342441), we get a palindrome (144585441).

It can be divided in two parts, 14424 and 3000, that added together give a square (17424 = 1322).

The spelling of 144243000 in words is "one hundred forty-four million, two hundred forty-three thousand".