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144212544 = 2632747761
BaseRepresentation
bin10001001100010…
…00001001000000
3101001100202102100
420212020021000
5243404300134
622150550400
73400533510
oct1046101100
9331322370
10144212544
117444a023
1240368400
1323b53888
141521d840
15c9d9999
hex8988240

144212544 has 168 divisors, whose sum is σ = 483095808. Its totient is φ = 40273920.

The previous prime is 144212503. The next prime is 144212557. The reversal of 144212544 is 445212441.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 189124 + ... + 189884.

Almost surely, 2144212544 is an apocalyptic number.

144212544 is a gapful number since it is divisible by the number (14) 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 144212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241547904).

144212544 is an abundant number, since it is smaller than the sum of its proper divisors (338883264).

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

144212544 is a wasteful number, since it uses less digits than its factorization.

144212544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 820 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 144212544 is about 12008.8527345455. The cubic root of 144212544 is about 524.4060330215.

Adding to 144212544 its reverse (445212441), we get a palindrome (589424985).

The spelling of 144212544 in words is "one hundred forty-four million, two hundred twelve thousand, five hundred forty-four".