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1414144 = 2101381
BaseRepresentation
bin101011001010000000000
32122211211201
411121100000
5330223034
650150544
715006604
oct5312000
92584751
101414144
11886516
12582454
133a6894
1428b504
151ce014
hex159400

1414144 has 22 divisors (see below), whose sum is σ = 2828954. Its totient is φ = 706560.

The previous prime is 1414129. The next prime is 1414181. The reversal of 1414144 is 4414141.

It can be written as a sum of positive squares in only one way, i.e., 1183744 + 230400 = 1088^2 + 480^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 334 + ... + 1714.

21414144 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 1414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414477).

1414144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1414144 is an equidigital number, since it uses as much as digits as its factorization.

1414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 1414144 is about 1189.1778672680. The cubic root of 1414144 is about 112.2443644110.

Adding to 1414144 its reverse (4414141), we get a palindrome (5828285).

The spelling of 1414144 in words is "one million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1381 2762 5524 11048 22096 44192 88384 176768 353536 707072 1414144