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144423424 = 29311907
BaseRepresentation
bin10001001101110…
…11101000000000
3101001202110200201
420212323220000
5243433022144
622155254544
73402402355
oct1046735000
9331673621
10144423424
1174583502
124044a454
1323bc8862
141527662c
15ca2c1d4
hex89bba00

144423424 has 40 divisors (see below), whose sum is σ = 289811808. Its totient is φ = 71900160.

The previous prime is 144423421. The next prime is 144423431. The reversal of 144423424 is 424324441.

It is a junction number, because it is equal to n+sod(n) for n = 144423392 and 144423401.

It is not an unprimeable number, because it can be changed into a prime (144423421) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 158779 + ... + 159685.

Almost surely, 2144423424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144905904).

144423424 is an abundant number, since it is smaller than the sum of its proper divisors (145388384).

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

144423424 is an frugal number, since it uses more digits than its factorization.

144423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1220 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 144423424 is about 12017.6297163792. The cubic root of 144423424 is about 524.6615190834.

Adding to 144423424 its reverse (424324441), we get a palindrome (568747865).

The spelling of 144423424 in words is "one hundred forty-four million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 311 512 622 907 1244 1814 2488 3628 4976 7256 9952 14512 19904 29024 39808 58048 79616 116096 159232 232192 282077 464384 564154 1128308 2256616 4513232 9026464 18052928 36105856 72211712 144423424