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144213420 = 2235131937263
BaseRepresentation
bin10001001100010…
…00010110101100
3101001100210121210
420212020112230
5243404312140
622150554420
73400536201
oct1046102654
9331323553
10144213420
117444a74a
1240368a10
1323b540b0
141521dca8
15c9d9d80
hex89885ac

144213420 has 192 divisors, whose sum is σ = 471905280. Its totient is φ = 32596992.

The previous prime is 144213367. The next prime is 144213451. The reversal of 144213420 is 24312441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548209 + ... + 548471.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840).

Almost surely, 2144213420 is an apocalyptic number.

144213420 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 144213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235952640).

144213420 is an abundant number, since it is smaller than the sum of its proper divisors (327691860).

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

144213420 is a wasteful number, since it uses less digits than its factorization.

144213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144213420 is about 12008.8892075829. The cubic root of 144213420 is about 524.4070948310.

Adding to 144213420 its reverse (24312441), we get a palindrome (168525861).

The spelling of 144213420 in words is "one hundred forty-four million, two hundred thirteen thousand, four hundred twenty".