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1414314144 = 25324910813
BaseRepresentation
bin101010001001100…
…1011100010100000
310122120021121021100
41110103023202200
510344031023034
6352201354400
750022320565
oct12423134240
93576247240
101414314144
11666386171
12335798a00
13197020b99
14d5b9a86c
1584271099
hex544cb8a0

1414314144 has 36 divisors (see below), whose sum is σ = 4021956666. Its totient is φ = 471437952.

The previous prime is 1414314113. The next prime is 1414314163. The reversal of 1414314144 is 4414134141.

It can be written as a sum of positive squares in only one way, i.e., 1343955600 + 70358544 = 36660^2 + 8388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2455119 + ... + 2455694.

Almost surely, 21414314144 is an apocalyptic number.

It is an amenable number.

1414314144 is an abundant number, since it is smaller than the sum of its proper divisors (2607642522).

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

1414314144 is a wasteful number, since it uses less digits than its factorization.

1414314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910829 (or 4910818 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 1414314144 is about 37607.3682142210. The cubic root of 1414314144 is about 1122.4886582419.

Adding to 1414314144 its reverse (4414134141), we get a palindrome (5828448285).

The spelling of 1414314144 in words is "one billion, four hundred fourteen million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4910813 9821626 14732439 19643252 29464878 39286504 44197317 58929756 78573008 88394634 117859512 157146016 176789268 235719024 353578536 471438048 707157072 1414314144