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144044460 = 22335753719
BaseRepresentation
bin10001001010111…
…11000110101100
3101001001012212000
420211133012230
5243333410320
622143212300
73366233460
oct1045370654
9331035760
10144044460
117434480a
12402a7090
1323ac5211
14151b84a0
15c9a4c90
hex895f1ac

144044460 has 192 divisors, whose sum is σ = 522547200. Its totient is φ = 32258304.

The previous prime is 144044447. The next prime is 144044489. The reversal of 144044460 is 64440441.

144044460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199981 + ... + 200699.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2144044460 is an apocalyptic number.

144044460 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 144044460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

144044460 is an abundant number, since it is smaller than the sum of its proper divisors (378502740).

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

144044460 is a wasteful number, since it uses less digits than its factorization.

144044460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 144044460 is about 12001.8523570322. The cubic root of 144044460 is about 524.2022168847.

The spelling of 144044460 in words is "one hundred forty-four million, forty-four thousand, four hundred sixty".