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144144144 = 2433333667
BaseRepresentation
bin10001001011101…
…11011100010000
3101001020021121000
420211313130100
5243400103034
622145302000
73400130214
oct1045673420
9331207530
10144144144
11744026a1
1240334900
1323b2b6c1
1415202944
15c9c4599
hex8977710

144144144 has 40 divisors (see below), whose sum is σ = 413748320. Its totient is φ = 48047904.

The previous prime is 144144137. The next prime is 144144149. The reversal of 144144144 is 441441441.

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

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

144144144 is a modest number, since divided by 144144 gives 144 as remainder.

It is not an unprimeable number, because it can be changed into a prime (144144149) 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 7 ways as a sum of consecutive naturals, for example, 166402 + ... + 167265.

It is an arithmetic number, because the mean of its divisors is an integer number (10343708).

Almost surely, 2144144144 is an apocalyptic number.

It is an amenable number.

144144144 is an abundant number, since it is smaller than the sum of its proper divisors (269604176).

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

144144144 is a wasteful number, since it uses less digits than its factorization.

144144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333684 (or 333672 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 144144144 is about 12006.0044977503. The cubic root of 144144144 is about 524.3231113280.

Adding to 144144144 its reverse (441441441), we get a palindrome (585585585).

The spelling of 144144144 in words is "one hundred forty-four million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 333667 667334 1001001 1334668 2002002 2669336 3003003 4004004 5338672 6006006 8008008 9009009 12012012 16016016 18018018 24024024 36036036 48048048 72072072 144144144