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404404400040 = 233517198237451
BaseRepresentation
bin1011110001010000110…
…00010110111110101000
31102122211122020002000020
411320220120112332220
523111210011300130
6505440353440440
741134342453314
oct5705030267650
91378748202006
10404404400040
11146563817333
1266462270120
132c19ac82004
1415805104b44
15a7bd400e10
hex5e28616fa8

404404400040 has 64 divisors (see below), whose sum is σ = 1284578688960. Its totient is φ = 101497574400.

The previous prime is 404404400011. The next prime is 404404400107. The reversal of 404404400040 is 40004404404.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99116686 + ... + 99120765.

It is an arithmetic number, because the mean of its divisors is an integer number (20071542015).

Almost surely, 2404404400040 is an apocalyptic number.

404404400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404404400040 is an abundant number, since it is smaller than the sum of its proper divisors (880174288920).

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

404404400040 is a wasteful number, since it uses less digits than its factorization.

404404400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198237482 (or 198237478 counting only the distinct ones).

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

Adding to 404404400040 its reverse (40004404404), we get a palindrome (444408804444).

The spelling of 404404400040 in words is "four hundred four billion, four hundred four million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 198237451 396474902 594712353 792949804 991187255 1189424706 1585899608 1982374510 2378849412 2973561765 3370036667 3964749020 4757698824 5947123530 6740073334 7929498040 10110110001 11894247060 13480146668 16850183335 20220220002 23788494120 26960293336 33700366670 40440440004 50550550005 67400733340 80880880008 101101100010 134801466680 202202200020 404404400040