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144000300 = 223523712973
BaseRepresentation
bin10001001010101…
…00010100101100
3101000221222021110
420211110110230
5243331002200
622142232020
73365660643
oct1045242454
9330858243
10144000300
1174314614
1240285610
1323aab0a2
14151a635a
15c996b50
hex895452c

144000300 has 72 divisors (see below), whose sum is σ = 427934416. Its totient is φ = 37359360.

The previous prime is 144000293. The next prime is 144000313. The reversal of 144000300 is 3000441.

144000300 is digitally balanced in base 3, 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 (12).

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 23 ways as a sum of consecutive naturals, for example, 4614 + ... + 17586.

Almost surely, 2144000300 is an apocalyptic number.

144000300 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 144000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213967208).

144000300 is an abundant number, since it is smaller than the sum of its proper divisors (283934116).

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

144000300 is a wasteful number, since it uses less digits than its factorization.

144000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 144000300 is about 12000.0124999935. The cubic root of 144000300 is about 524.1486428334.

Adding to 144000300 its reverse (3000441), we get a palindrome (147000741).

The spelling of 144000300 in words is "one hundred forty-four million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 12973 25946 38919 51892 64865 77838 129730 155676 194595 259460 324325 389190 480001 648650 778380 960002 972975 1297300 1440003 1920004 1945950 2400005 2880006 3891900 4800010 5760012 7200015 9600020 12000025 14400030 24000050 28800060 36000075 48000100 72000150 144000300