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404224440040 = 235211229320887
BaseRepresentation
bin1011110000111011010…
…01110111011011101000
31102122101002121011022001
411320131221313123220
523110322424040130
6505410444340344
741130026022511
oct5703551673350
91378332534261
10404224440040
11146481181763
1266411b446b4
132c16c8c33c5
14157c925ba08
15a7ac7046ca
hex5e1da776e8

404224440040 has 64 divisors (see below), whose sum is σ = 914257733760. Its totient is φ = 160845592320.

The previous prime is 404224440023. The next prime is 404224440101. The reversal of 404224440040 is 40044422404.

It is a junction number, because it is equal to n+sod(n) for n = 404224439990 and 404224440008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19342477 + ... + 19363363.

It is an arithmetic number, because the mean of its divisors is an integer number (14285277090).

Almost surely, 2404224440040 is an apocalyptic number.

404224440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404224440040 is an abundant number, since it is smaller than the sum of its proper divisors (510033293720).

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

404224440040 is a wasteful number, since it uses less digits than its factorization.

404224440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23402 (or 23398 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404224440040 its reverse (40044422404), we get a palindrome (444268862444).

The spelling of 404224440040 in words is "four hundred four billion, two hundred twenty-four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 2110 2293 4220 4586 8440 9172 11465 18344 20887 22930 41774 45860 83548 91720 104435 167096 208870 417740 483823 835480 967646 1935292 2419115 3870584 4407157 4838230 8814314 9676460 17628628 19352920 22035785 35257256 44071570 47893891 88143140 95787782 176286280 191575564 239469455 383151128 478938910 957877820 1915755640 10105611001 20211222002 40422444004 50528055005 80844888008 101056110010 202112220020 404224440040