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144420000 = 253542983
BaseRepresentation
bin10001001101110…
…10110010100000
3101001202021222220
420212322302200
5243432420000
622155231040
73402356364
oct1046726240
9331667886
10144420000
117458097a
1240448480
1323bc712a
14152752a4
15ca2b1a0
hex89baca0

144420000 has 240 divisors, whose sum is σ = 495966240. Its totient is φ = 36736000.

The previous prime is 144419987. The next prime is 144420011. The reversal of 144420000 is 24441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1739959 + ... + 1740041.

It is an arithmetic number, because the mean of its divisors is an integer number (2066526).

Almost surely, 2144420000 is an apocalyptic number.

144420000 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 144420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247983120).

144420000 is an abundant number, since it is smaller than the sum of its proper divisors (351546240).

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

144420000 is an equidigital number, since it uses as much as digits as its factorization.

144420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 144420000 is about 12017.4872581584. The cubic root of 144420000 is about 524.6573728141.

Adding to 144420000 its reverse (24441), we get a palindrome (144444441).

The spelling of 144420000 in words is "one hundred forty-four million, four hundred twenty thousand".