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144230024000 = 265318028753
BaseRepresentation
bin1000011001010011000…
…1111000001101000000
3111210021122020100210202
42012110301320031000
54330340341232000
6150131445544332
713264103655536
oct2062461701500
9453248210722
10144230024000
11561930a7847
1223b524150a8
13107a705088a
146da333c156
153b42281dd5
hex2194c78340

144230024000 has 56 divisors (see below), whose sum is σ = 357185674248. Its totient is φ = 57692006400.

The previous prime is 144230023957. The next prime is 144230024011. The reversal of 144230024000 is 420032441.

144230024000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 303874624 + 143926149376 = 17432^2 + 379376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9006377 + ... + 9022376.

Almost surely, 2144230024000 is an apocalyptic number.

144230024000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144230024000 is an abundant number, since it is smaller than the sum of its proper divisors (212955650248).

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

144230024000 is an equidigital number, since it uses as much as digits as its factorization.

144230024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18028780 (or 18028760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 144230024000 its reverse (420032441), we get a palindrome (144650056441).

The spelling of 144230024000 in words is "one hundred forty-four billion, two hundred thirty million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 18028753 36057506 72115012 90143765 144230024 180287530 288460048 360575060 450718825 576920096 721150120 901437650 1153840192 1442300240 1802875300 2253594125 2884600480 3605750600 4507188250 5769200960 7211501200 9014376500 14423002400 18028753000 28846004800 36057506000 72115012000 144230024000