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1018401040 = 24512730013
BaseRepresentation
bin111100101100111…
…001000100010000
32121222022010121001
4330230321010100
54041202313130
6245015511344
734144160146
oct7454710420
92558263531
101018401040
11482951858
12245088554
13132cb0887
149937b596
155e6186ca
hex3cb39110

1018401040 has 20 divisors (see below), whose sum is σ = 2367782604. Its totient is φ = 407360384.

The previous prime is 1018401037. The next prime is 1018401053. The reversal of 1018401040 is 401048101.

It can be written as a sum of positive squares in 2 ways, for example, as 389193984 + 629207056 = 19728^2 + 25084^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1018400999 and 1018401017.

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, 6364927 + ... + 6365086.

Almost surely, 21018401040 is an apocalyptic number.

1018401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1018401040 is an abundant number, since it is smaller than the sum of its proper divisors (1349381564).

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

1018401040 is a wasteful number, since it uses less digits than its factorization.

1018401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730026 (or 12730020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1018401040 is about 31912.3963374736. The cubic root of 1018401040 is about 1006.0964379169.

Adding to 1018401040 its reverse (401048101), we get a palindrome (1419449141).

The spelling of 1018401040 in words is "one billion, eighteen million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12730013 25460026 50920052 63650065 101840104 127300130 203680208 254600260 509200520 1018401040