Search a number
-
+
144211424 = 2572232887
BaseRepresentation
bin10001001100001…
…11110111100000
3101001100200212212
420212013313200
5243404231144
622150541252
73400530320
oct1046076740
9331320785
10144211424
11744491a5
1240367828
1323b53206
141521d280
15c9d949e
hex8987de0

144211424 has 48 divisors (see below), whose sum is σ = 326043648. Its totient is φ = 61506432.

The previous prime is 144211409. The next prime is 144211429. The reversal of 144211424 is 424112441.

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 144211424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144211429) 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, 48509 + ... + 51395.

It is an arithmetic number, because the mean of its divisors is an integer number (6792576).

Almost surely, 2144211424 is an apocalyptic number.

144211424 is a gapful number since it is divisible by the number (14) 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 144211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163021824).

144211424 is an abundant number, since it is smaller than the sum of its proper divisors (181832224).

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

144211424 is a wasteful number, since it uses less digits than its factorization.

144211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3119 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 144211424 is about 12008.8061021902. The cubic root of 144211424 is about 524.4046754505.

Adding to 144211424 its reverse (424112441), we get a palindrome (568323865).

The spelling of 144211424 in words is "one hundred forty-four million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 446 892 1561 1784 2887 3122 3568 5774 6244 7136 11548 12488 20209 23096 24976 40418 46192 49952 80836 92384 161672 323344 643801 646688 1287602 2575204 4506607 5150408 9013214 10300816 18026428 20601632 36052856 72105712 144211424