Search a number
-
+
144414132 = 22312034511
BaseRepresentation
bin10001001101110…
…01010110110100
3101001201222221120
420212321112310
5243432223012
622155143540
73402333312
oct1046712664
9331658846
10144414132
1174577525
1240444bb0
1323bc4565
14152730b2
15ca2958c
hex89b95b4

144414132 has 12 divisors (see below), whose sum is σ = 336966336. Its totient is φ = 48138040.

The previous prime is 144414119. The next prime is 144414161. The reversal of 144414132 is 231414441.

144414132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6017244 + ... + 6017267.

It is an arithmetic number, because the mean of its divisors is an integer number (28080528).

Almost surely, 2144414132 is an apocalyptic number.

144414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144414132 is an abundant number, since it is smaller than the sum of its proper divisors (192552204).

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

144414132 is a wasteful number, since it uses less digits than its factorization.

144414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12034518 (or 12034516 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 144414132 is about 12017.2431114628. The cubic root of 144414132 is about 524.6502668473.

Adding to 144414132 its reverse (231414441), we get a palindrome (375828573).

It can be divided in two parts, 1444 and 14132, that added together give a triangular number (15576 = T176).

The spelling of 144414132 in words is "one hundred forty-four million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 12034511 24069022 36103533 48138044 72207066 144414132