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1312540441 = 362292
BaseRepresentation
bin100111000111011…
…1100011100011001
310101110202221222221
41032032330130121
510142002243231
6334124144041
744345260342
oct11616743431
93343687887
101312540441
11613993073
12307698021
1317bc08c64
14c64670c9
157a36ad11
hex4e3bc719

1312540441 has 3 divisors (see below), whose sum is σ = 1312576671. Its totient is φ = 1312504212.

The previous prime is 1312540423. The next prime is 1312540451. The reversal of 1312540441 is 1440452131.

The square root of 1312540441 is 36229.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 698492041 + 614048400 = 26429^2 + 24780^2 .

It is not a de Polignac number, because 1312540441 - 221 = 1310443289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312540451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18115 + ... + 54343.

It is an arithmetic number, because the mean of its divisors is an integer number (437525557).

Almost surely, 21312540441 is an apocalyptic number.

1312540441 is the 36229-th square number.

1312540441 is the 18115-th centered octagonal number.

It is an amenable number.

1312540441 is a deficient number, since it is larger than the sum of its proper divisors (36230).

1312540441 is an frugal number, since it uses more digits than its factorization.

1312540441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72458 (or 36229 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 1312540441 is about 1094.8910300713.

Multiplying 1312540441 by its sum of digits (25), we get a square (32813511025 = 1811452).

Adding to 1312540441 its reverse (1440452131), we get a palindrome (2752992572).

The spelling of 1312540441 in words is "one billion, three hundred twelve million, five hundred forty thousand, four hundred forty-one".

Divisors: 1 36229 1312540441