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2414144144 = 24150884009
BaseRepresentation
bin1000111111100100…
…1110101010010000
320020020122020012002
42033321032222100
514421010103034
61035315253132
7113552613056
oct21771165220
96206566162
102414144144
1110297a3255
125745aa1a8
132c61cb879
1418c8a21d6
15e1e1be7e
hex8fe4ea90

2414144144 has 10 divisors (see below), whose sum is σ = 4677404310. Its totient is φ = 1207072064.

The previous prime is 2414144093. The next prime is 2414144171. The reversal of 2414144144 is 4414414142.

It is a happy number.

2414144144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2363904400 + 50239744 = 48620^2 + 7088^2 .

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 as a sum of consecutive naturals, namely, 75441989 + ... + 75442020.

It is an arithmetic number, because the mean of its divisors is an integer number (467740431).

Almost surely, 22414144144 is an apocalyptic number.

It is an amenable number.

2414144144 is a deficient number, since it is larger than the sum of its proper divisors (2263260166).

2414144144 is a wasteful number, since it uses less digits than its factorization.

2414144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150884017 (or 150884011 counting only the distinct ones).

The product of its digits is 8192, while the sum is 29.

The square root of 2414144144 is about 49133.9408555837. The cubic root of 2414144144 is about 1341.4909046268.

Adding to 2414144144 its reverse (4414414142), we get a palindrome (6828558286).

The spelling of 2414144144 in words is "two billion, four hundred fourteen million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 150884009 301768018 603536036 1207072072 2414144144