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144400300 = 225211251523
BaseRepresentation
bin10001001101101…
…01111110101100
3101001201021222021
420212311332230
5243431302200
622154555524
73402245062
oct1046657654
9331637867
10144400300
11745680a0
1240438ba4
1323bbb185
141526c032
15ca2541a
hex89b5fac

144400300 has 72 divisors (see below), whose sum is σ = 343852992. Its totient is φ = 52200000.

The previous prime is 144400273. The next prime is 144400337. The reversal of 144400300 is 3004441.

144400300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275839 + ... + 276361.

It is an arithmetic number, because the mean of its divisors is an integer number (4775736).

Almost surely, 2144400300 is an apocalyptic number.

144400300 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 144400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171926496).

144400300 is an abundant number, since it is smaller than the sum of its proper divisors (199452692).

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

144400300 is a wasteful number, since it uses less digits than its factorization.

144400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 144400300 is about 12016.6675913083. The cubic root of 144400300 is about 524.6335159608.

Adding to 144400300 its reverse (3004441), we get a palindrome (147404741).

The spelling of 144400300 in words is "one hundred forty-four million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 251 275 502 523 550 1004 1046 1100 1255 2092 2510 2615 2761 5020 5230 5522 5753 6275 10460 11044 11506 12550 13075 13805 23012 25100 26150 27610 28765 52300 55220 57530 69025 115060 131273 138050 143825 262546 276100 287650 525092 575300 656365 1312730 1444003 2625460 2888006 3281825 5776012 6563650 7220015 13127300 14440030 28880060 36100075 72200150 144400300