Search a number
-
+
144024426 = 23372135379
BaseRepresentation
bin10001001010110…
…10001101101010
3101001000012101000
420211122031222
5243332240201
622142535430
73366121200
oct1045321552
9331005330
10144024426
1174330757
1240297576
1323ab9070
14151b1070
15c99dd86
hex895a36a

144024426 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 36796032.

The previous prime is 144024409. The next prime is 144024437. The reversal of 144024426 is 624420441.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144024426.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1823055 + ... + 1823133.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2144024426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144024426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

144024426 is an abundant number, since it is smaller than the sum of its proper divisors (269658774).

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

144024426 is a wasteful number, since it uses less digits than its factorization.

144024426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 144024426 is about 12001.0177068447. The cubic root of 144024426 is about 524.1779133835.

Adding to 144024426 its reverse (624420441), we get a palindrome (768444867).

The spelling of 144024426 in words is "one hundred forty-four million, twenty-four thousand, four hundred twenty-six".