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144324012 = 223721032383
BaseRepresentation
bin10001001101000…
…11010110101100
3101001120102022210
420212203112230
5243421332022
622153210420
73401506500
oct1046432654
9331512283
10144324012
1174515848
1240400a10
1323b92531
141524c300
15ca0ca0c
hex89a35ac

144324012 has 72 divisors (see below), whose sum is σ = 395705856. Its totient is φ = 40817952.

The previous prime is 144324007. The next prime is 144324029. The reversal of 144324012 is 210423441.

It is a super-2 number, since 2×1443240122 = 41658840879552288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 144324012.

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 23 ways as a sum of consecutive naturals, for example, 59373 + ... + 61755.

Almost surely, 2144324012 is an apocalyptic number.

144324012 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 144324012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197852928).

144324012 is an abundant number, since it is smaller than the sum of its proper divisors (251381844).

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

144324012 is a wasteful number, since it uses less digits than its factorization.

144324012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144324012 is about 12013.4929142194. The cubic root of 144324012 is about 524.5411101234.

Adding to 144324012 its reverse (210423441), we get a palindrome (354747453).

The spelling of 144324012 in words is "one hundred forty-four million, three hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 147 196 206 294 309 412 588 618 721 1236 1442 2163 2383 2884 4326 4766 5047 7149 8652 9532 10094 14298 15141 16681 20188 28596 30282 33362 50043 60564 66724 100086 116767 200172 233534 245449 350301 467068 490898 700602 736347 981796 1401204 1472694 1718143 2945388 3436286 5154429 6872572 10308858 12027001 20617716 24054002 36081003 48108004 72162006 144324012