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3131421140 = 2257319311113
BaseRepresentation
bin1011101010100101…
…1011000111010100
322002020022200020202
42322221123013110
522403120434030
61234421120032
7140412432461
oct27251330724
98066280222
103131421140
111367673061
12734859018
133ab9a9b23
14219c56668
15134da3745
hexbaa5b1d4

3131421140 has 48 divisors (see below), whose sum is σ = 6701208528. Its totient is φ = 1228898304.

The previous prime is 3131421127. The next prime is 3131421149. The reversal of 3131421140 is 411241313.

It can be written as a sum of positive squares in 8 ways, for example, as 804516496 + 2326904644 = 28364^2 + 48238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131421149) 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 15 ways as a sum of consecutive naturals, for example, 276224 + ... + 287336.

It is an arithmetic number, because the mean of its divisors is an integer number (139608511).

Almost surely, 23131421140 is an apocalyptic number.

It is an amenable number.

3131421140 is an abundant number, since it is smaller than the sum of its proper divisors (3569787388).

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

3131421140 is a wasteful number, since it uses less digits than its factorization.

3131421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388 (or 11386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3131421140 is about 55959.1023873686. The cubic root of 3131421140 is about 1463.0095454880.

Adding to 3131421140 its reverse (411241313), we get a palindrome (3542662453).

The spelling of 3131421140 in words is "three billion, one hundred thirty-one million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 193 292 365 386 730 772 965 1460 1930 3860 11113 14089 22226 28178 44452 55565 56356 70445 111130 140890 222260 281780 811249 1622498 2144809 3244996 4056245 4289618 8112490 8579236 10724045 16224980 21448090 42896180 156571057 313142114 626284228 782855285 1565710570 3131421140