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144443520 = 2733513643
BaseRepresentation
bin10001001110000…
…00100010000000
3101001210111021000
420213000202000
5243434143040
622155532000
73402515064
oct1047004200
9331714230
10144443520
1174597611
124045a000
1323c04a50
141527daa4
15ca33130
hex89c0880

144443520 has 256 divisors, whose sum is σ = 551779200. Its totient is φ = 35500032.

The previous prime is 144443503. The next prime is 144443527. The reversal of 144443520 is 25344441.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144443527) 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 31 ways as a sum of consecutive naturals, for example, 224319 + ... + 224961.

Almost surely, 2144443520 is an apocalyptic number.

144443520 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 144443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275889600).

144443520 is an abundant number, since it is smaller than the sum of its proper divisors (407335680).

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

144443520 is a wasteful number, since it uses less digits than its factorization.

144443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144443520 is about 12018.4657922715. The cubic root of 144443520 is about 524.6858528759.

Adding to 144443520 its reverse (25344441), we get a palindrome (169787961).

The spelling of 144443520 in words is "one hundred forty-four million, four hundred forty-three thousand, five hundred twenty".