Search a number
-
+
144633424 = 241343103157
BaseRepresentation
bin10001001111011…
…10111001010000
3101002011010202111
420213232321100
5244011232144
622203555104
73404235535
oct1047567120
9332133674
10144633424
1174707261
124052ba94
1323c70310
14152ccd8c
15ca6e534
hex89eee50

144633424 has 80 divisors (see below), whose sum is σ = 313785472. Its totient is φ = 64157184.

The previous prime is 144633421. The next prime is 144633427. The reversal of 144633424 is 424336441.

144633424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144633421) and next prime (144633427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144633421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921154 + ... + 921310.

Almost surely, 2144633424 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 144633424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156892736).

144633424 is an abundant number, since it is smaller than the sum of its proper divisors (169152048).

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

144633424 is a wasteful number, since it uses less digits than its factorization.

144633424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

The square root of 144633424 is about 12026.3637064576. The cubic root of 144633424 is about 524.9156919797.

Adding to 144633424 its reverse (424336441), we get a palindrome (568969865).

The spelling of 144633424 in words is "one hundred forty-four million, six hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 43 52 86 103 104 157 172 206 208 314 344 412 559 628 688 824 1118 1256 1339 1648 2041 2236 2512 2678 4082 4429 4472 5356 6751 8164 8858 8944 10712 13502 16171 16328 17716 21424 27004 32342 32656 35432 54008 57577 64684 70864 87763 108016 115154 129368 175526 210223 230308 258736 351052 420446 460616 695353 702104 840892 921232 1390706 1404208 1681784 2781412 3363568 5562824 9039589 11125648 18079178 36158356 72316712 144633424