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3131432441 = 29417333593
BaseRepresentation
bin1011101010100101…
…1101110111111001
322002020100020202022
42322221131313321
522403121314231
61234421244225
7140412510434
oct27251356771
98066306668
103131432441
1113676805a5
12734863675
133ab9b2007
14219c5a81b
15134da6c7b
hexbaa5ddf9

3131432441 has 16 divisors (see below), whose sum is σ = 3323874960. Its totient is φ = 2944865280.

The previous prime is 3131432431. The next prime is 3131432477. The reversal of 3131432441 is 1442341313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6175225 + 3125257216 = 2485^2 + 55904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3131432441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3131432441.

It is not an unprimeable number, because it can be changed into a prime (3131432401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869741 + ... + 873333.

It is an arithmetic number, because the mean of its divisors is an integer number (207742185).

Almost surely, 23131432441 is an apocalyptic number.

It is an amenable number.

3131432441 is a deficient number, since it is larger than the sum of its proper divisors (192442519).

3131432441 is a wasteful number, since it uses less digits than its factorization.

3131432441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396.

The product of its digits is 3456, while the sum is 26.

The square root of 3131432441 is about 55959.2033628071. The cubic root of 3131432441 is about 1463.0113054399.

Adding to 3131432441 its reverse (1442341313), we get a palindrome (4573773754).

The spelling of 3131432441 in words is "three billion, one hundred thirty-one million, four hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 29 41 733 1189 3593 21257 30053 104197 147313 871537 2633669 4272077 76376401 107980429 3131432441