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404024200040 = 23510100605001
BaseRepresentation
bin1011110000100011011…
…10000000101101101000
31102121212010210220122202
411320101232000231220
523104420143400130
6505334532435332
741122045015436
oct5702156005550
91377763726582
10404024200040
1114638914545a
1266376a78b48
132c13a283ab6
14157aa815d56
15a799d4e145
hex5e11b80b68

404024200040 has 16 divisors (see below), whose sum is σ = 909054450180. Its totient is φ = 161609680000.

The previous prime is 404024200009. The next prime is 404024200067. The reversal of 404024200040 is 40002420404.

It can be written as a sum of positive squares in 2 ways, for example, as 365853200164 + 38170999876 = 604858^2 + 195374^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 404024199985 and 404024200021.

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, 5050302461 + ... + 5050302540.

Almost surely, 2404024200040 is an apocalyptic number.

404024200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404024200040 is an abundant number, since it is smaller than the sum of its proper divisors (505030250140).

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

404024200040 is a wasteful number, since it uses less digits than its factorization.

404024200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100605012 (or 10100605008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 404024200040 its reverse (40002420404), we get a palindrome (444026620444).

The spelling of 404024200040 in words is "four hundred four billion, twenty-four million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10100605001 20201210002 40402420004 50503025005 80804840008 101006050010 202012100020 404024200040