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4040364040 = 235109926689
BaseRepresentation
bin1111000011010011…
…0001000000001000
3101102120122202111121
43300310301000020
531233313122130
61504531005024
7202060345666
oct36064610010
911376582447
104040364040
111793753339
12949139774
134c50b4b6b
142a485dc36
15189a99d7a
hexf0d31008

4040364040 has 32 divisors (see below), whose sum is σ = 9174231000. Its totient is φ = 1601316864.

The previous prime is 4040364017. The next prime is 4040364043. The reversal of 4040364040 is 404630404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2787628804 + 1252735236 = 52798^2 + 35394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4040363996 and 4040364014.

It is not an unprimeable number, because it can be changed into a prime (4040364043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458985 + ... + 467704.

Almost surely, 24040364040 is an apocalyptic number.

4040364040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040364040 is an abundant number, since it is smaller than the sum of its proper divisors (5133866960).

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

4040364040 is a wasteful number, since it uses less digits than its factorization.

4040364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926809 (or 926805 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4040364040 is about 63563.8579697614. The cubic root of 4040364040 is about 1592.7226849864.

Adding to 4040364040 its reverse (404630404), we get a palindrome (4444994444).

The spelling of 4040364040 in words is "four billion, forty million, three hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 926689 1853378 3706756 4633445 7413512 9266890 18533780 37067560 101009101 202018202 404036404 505045505 808072808 1010091010 2020182020 4040364040