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404004044040 = 233510133333667
BaseRepresentation
bin1011110000100001000…
…01000111110100001000
31102121210201212212211020
411320100201013310020
523104400013402130
6505332532432440
741121411466542
oct5702041076410
91377721785736
10404004044040
11146378828a03
1266370178720
132c13604767c
14157a7c8a692
15a7981bbe10
hex5e10847d08

404004044040 has 64 divisors (see below), whose sum is σ = 1224012288960. Its totient is φ = 106667731200.

The previous prime is 404004043997. The next prime is 404004044071. The reversal of 404004044040 is 40440400404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404004044040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16654714 + ... + 16678953.

It is an arithmetic number, because the mean of its divisors is an integer number (19125192015).

Almost surely, 2404004044040 is an apocalyptic number.

404004044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404004044040 is an abundant number, since it is smaller than the sum of its proper divisors (820008244920).

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

404004044040 is a wasteful number, since it uses less digits than its factorization.

404004044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333782 (or 33333778 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404004044040 its reverse (40440400404), we get a palindrome (444444444444).

The spelling of 404004044040 in words is "four hundred four billion, four million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 33333667 66667334 100001001 133334668 166668335 200002002 266669336 333336670 400004004 500005005 666673340 800008008 1000010010 1333346680 2000020020 3366700367 4000040040 6733400734 10100101101 13466801468 16833501835 20200202202 26933602936 33667003670 40400404404 50500505505 67334007340 80800808808 101001011010 134668014680 202002022020 404004044040