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144441432 = 233210319477
BaseRepresentation
bin10001001110000…
…00000001011000
3101001210101101200
420213000001120
5243434111212
622155514200
73402506022
oct1047000130
9331711350
10144441432
1174595a93
1240458960
1323c03b05
141527d012
15ca326dc
hex89c0058

144441432 has 48 divisors (see below), whose sum is σ = 395013840. Its totient is φ = 47677248.

The previous prime is 144441419. The next prime is 144441443. The reversal of 144441432 is 234144441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144441396 and 144441405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2323 + ... + 17154.

It is an arithmetic number, because the mean of its divisors is an integer number (8229455).

Almost surely, 2144441432 is an apocalyptic number.

144441432 is a gapful number since it is divisible by the number (12) 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 144441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197506920).

144441432 is an abundant number, since it is smaller than the sum of its proper divisors (250572408).

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

144441432 is a wasteful number, since it uses less digits than its factorization.

144441432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19585 counting only the distinct ones).

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

The square root of 144441432 is about 12018.3789256289. The cubic root of 144441432 is about 524.6833246689.

Adding to 144441432 its reverse (234144441), we get a palindrome (378585873).

It can be divided in two parts, 14444 and 1432, that added together give a square (15876 = 1262).

The spelling of 144441432 in words is "one hundred forty-four million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 7416 19477 38954 58431 77908 116862 155816 175293 233724 350586 467448 701172 1402344 2006131 4012262 6018393 8024524 12036786 16049048 18055179 24073572 36110358 48147144 72220716 144441432