Search a number
-
+
144113412 = 223291992081
BaseRepresentation
bin10001001011011…
…11111100000100
3101001011201102210
420211233330010
5243343112122
622144503420
73366641502
oct1045577404
9331151383
10144113412
11743915a3
124031ab70
1323b1a711
14151d5672
15c9ba40c
hex896ff04

144113412 has 48 divisors (see below), whose sum is σ = 349776000. Its totient is φ = 46126080.

The previous prime is 144113381. The next prime is 144113419. The reversal of 144113412 is 214311441.

144113412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (144113419) 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, 68212 + ... + 70292.

It is an arithmetic number, because the mean of its divisors is an integer number (7287000).

Almost surely, 2144113412 is an apocalyptic number.

144113412 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 144113412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174888000).

144113412 is an abundant number, since it is smaller than the sum of its proper divisors (205662588).

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

144113412 is a wasteful number, since it uses less digits than its factorization.

144113412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2314 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 144113412 is about 12004.7245699350. The cubic root of 144113412 is about 524.2858462157.

Adding to 144113412 its reverse (214311441), we get a palindrome (358424853).

The spelling of 144113412 in words is "one hundred forty-four million, one hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 199 348 398 597 796 1194 2081 2388 4162 5771 6243 8324 11542 12486 17313 23084 24972 34626 60349 69252 120698 181047 241396 362094 414119 724188 828238 1242357 1656476 2484714 4969428 12009451 24018902 36028353 48037804 72056706 144113412