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404400242240 = 2651263750757
BaseRepresentation
bin1011110001010000010…
…00011111111001000000
31102122211100101211120122
411320220020133321000
523111202430222430
6505440124355412
741134262225411
oct5705010377100
91378740354518
10404400242240
11146561437535
12664609a5b68
132c19a157687
1415804741808
15a7bcd7dee5
hex5e2821fe40

404400242240 has 28 divisors (see below), whose sum is σ = 962978077596. Its totient is φ = 161760096768.

The previous prime is 404400242177. The next prime is 404400242251. The reversal of 404400242240 is 42242004404.

It can be written as a sum of positive squares in 2 ways, for example, as 129899693056 + 274500549184 = 360416^2 + 523928^2 .

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, 631875059 + ... + 631875698.

Almost surely, 2404400242240 is an apocalyptic number.

404400242240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404400242240 is an abundant number, since it is smaller than the sum of its proper divisors (558577835356).

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

404400242240 is a wasteful number, since it uses less digits than its factorization.

404400242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263750774 (or 1263750764 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 404400242240 its reverse (42242004404), we get a palindrome (446642246644).

The spelling of 404400242240 in words is "four hundred four billion, four hundred million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1263750757 2527501514 5055003028 6318753785 10110006056 12637507570 20220012112 25275015140 40440024224 50550030280 80880048448 101100060560 202200121120 404400242240