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1331423440 = 24516642793
BaseRepresentation
bin100111101011011…
…1110100011010000
310102210022022121021
41033112332203100
510211321022230
6340041005224
744664624664
oct11726764320
93383268537
101331423440
11623610156
12311a83814
13182abab29
14c8b808a4
157bd4ac7a
hex4f5be8d0

1331423440 has 20 divisors (see below), whose sum is σ = 3095559684. Its totient is φ = 532569344.

The previous prime is 1331423417. The next prime is 1331423479. The reversal of 1331423440 is 443241331.

It can be written as a sum of positive squares in 2 ways, for example, as 142277184 + 1189146256 = 11928^2 + 34484^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8321317 + ... + 8321476.

Almost surely, 21331423440 is an apocalyptic number.

1331423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331423440 is an abundant number, since it is smaller than the sum of its proper divisors (1764136244).

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

1331423440 is a wasteful number, since it uses less digits than its factorization.

1331423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642806 (or 16642800 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1331423440 is about 36488.6755035038. The cubic root of 1331423440 is about 1100.1166377697.

Adding to 1331423440 its reverse (443241331), we get a palindrome (1774664771).

The spelling of 1331423440 in words is "one billion, three hundred thirty-one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16642793 33285586 66571172 83213965 133142344 166427930 266284688 332855860 665711720 1331423440