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144423312 = 243115232
BaseRepresentation
bin10001001101110…
…11100110010000
3101001202110112120
420212323212100
5243433021222
622155254240
73402402135
oct1046734620
9331673476
10144423312
1174583410
124044a380
1323bc87a7
141527658c
15ca2c15c
hex89bb990

144423312 has 60 divisors (see below), whose sum is σ = 407790864. Its totient is φ = 43680960.

The previous prime is 144423311. The next prime is 144423317. The reversal of 144423312 is 213324441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144423311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275883 + ... + 276405.

Almost surely, 2144423312 is an apocalyptic number.

144423312 is a gapful number since it is divisible by the number (12) 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 144423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203895432).

144423312 is an abundant number, since it is smaller than the sum of its proper divisors (263367552).

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

144423312 is an equidigital number, since it uses as much as digits as its factorization.

144423312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 539 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 144423312 is about 12017.6250565576. The cubic root of 144423312 is about 524.6613834588.

Adding to 144423312 its reverse (213324441), we get a palindrome (357747753).

The spelling of 144423312 in words is "one hundred forty-four million, four hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 523 528 1046 1569 2092 3138 4184 5753 6276 8368 11506 12552 17259 23012 25104 34518 46024 69036 92048 138072 273529 276144 547058 820587 1094116 1641174 2188232 3008819 3282348 4376464 6017638 6564696 9026457 12035276 13129392 18052914 24070552 36105828 48141104 72211656 144423312