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3136000000 = 2125672
BaseRepresentation
bin1011101011101011…
…1001000000000000
322002112221022021011
42322322321000000
522410304000000
61235103210304
7140466363100
oct27272710000
98075838234
103136000000
11136a210241
127362a6994
133ac921003
1421a6c9200
151354aa2ba
hexbaeb9000

3136000000 has 273 divisors, whose sum is σ = 9118769997. Its totient is φ = 1075200000.

The previous prime is 3135999907. The next prime is 3136000001. The reversal of 3136000000 is 6313.

The square root of 3136000000 is 56000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 2747437056 + 388562944 = 52416^2 + 19712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3136000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 447999997 + ... + 448000003.

Almost surely, 23136000000 is an apocalyptic number.

3136000000 is the 56000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3136000000

3136000000 is an abundant number, since it is smaller than the sum of its proper divisors (5982769997).

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

3136000000 is an frugal number, since it uses more digits than its factorization.

3136000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The cubic root of 3136000000 is about 1463.7222840092.

Adding to 3136000000 its reverse (6313), we get a palindrome (3136006313).

The spelling of 3136000000 in words is "three billion, one hundred thirty-six million", and thus it is an aban number.