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1311447440 = 24516393093
BaseRepresentation
bin100111000101011…
…0001100110010000
310101101201102200102
41032022301212100
510141212304230
6334044511532
744333055632
oct11612614620
93341642612
101311447440
11613306966
1230724b5a8
1317b915604
14c6260a52
157a202045
hex4e2b1990

1311447440 has 20 divisors (see below), whose sum is σ = 3049115484. Its totient is φ = 524578944.

The previous prime is 1311447437. The next prime is 1311447491. The reversal of 1311447440 is 447441131.

It can be written as a sum of positive squares in 2 ways, for example, as 1016844544 + 294602896 = 31888^2 + 17164^2 .

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8196467 + ... + 8196626.

Almost surely, 21311447440 is an apocalyptic number.

1311447440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311447440 is an abundant number, since it is smaller than the sum of its proper divisors (1737668044).

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

1311447440 is a wasteful number, since it uses less digits than its factorization.

1311447440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16393106 (or 16393100 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 1311447440 is about 36213.9122437773. The cubic root of 1311447440 is about 1094.5870269106.

Adding to 1311447440 its reverse (447441131), we get a palindrome (1758888571).

The spelling of 1311447440 in words is "one billion, three hundred eleven million, four hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16393093 32786186 65572372 81965465 131144744 163930930 262289488 327861860 655723720 1311447440