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144424116 = 22324011781
BaseRepresentation
bin10001001101110…
…11110010110100
3101001202111122100
420212323302310
5243433032431
622155302100
73402404364
oct1046736264
9331674570
10144424116
1174583a81
124044a930
1323bc8c75
14152769a4
15ca2c4e6
hex89bbcb4

144424116 has 18 divisors (see below), whose sum is σ = 365072162. Its totient is φ = 48141360.

The previous prime is 144424109. The next prime is 144424139. The reversal of 144424116 is 611424441.

It can be written as a sum of positive squares in only one way, i.e., 112275216 + 32148900 = 10596^2 + 5670^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144424116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2005855 + ... + 2005926.

Almost surely, 2144424116 is an apocalyptic number.

It is an amenable number.

144424116 is an abundant number, since it is smaller than the sum of its proper divisors (220648046).

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

144424116 is a wasteful number, since it uses less digits than its factorization.

144424116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011791 (or 4011786 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 144424116 is about 12017.6585073799. The cubic root of 144424116 is about 524.6623570481.

Adding to 144424116 its reverse (611424441), we get a palindrome (755848557).

The spelling of 144424116 in words is "one hundred forty-four million, four hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4011781 8023562 12035343 16047124 24070686 36106029 48141372 72212058 144424116