Search a number
-
+
404444040440 = 235111019100901
BaseRepresentation
bin1011110001010101011…
…11100100110011111000
31102122221101211000102012
411320222233210303320
523111300133243230
6505444331225052
741135333423066
oct5705257446370
91378841730365
10404444040440
111465841317a0
12664735a8188
132c1a6250c7b
141580a4a3036
15a7c1b31395
hex5e2abe4cf8

404444040440 has 64 divisors (see below), whose sum is σ = 1002555364320. Its totient is φ = 145614400000.

The previous prime is 404444040391. The next prime is 404444040463. The reversal of 404444040440 is 44040444404.

It is a junction number, because it is equal to n+sod(n) for n = 404444040397 and 404444040406.

It is a congruent number.

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, 4506011 + ... + 4594890.

Almost surely, 2404444040440 is an apocalyptic number.

404444040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404444040440 is an abundant number, since it is smaller than the sum of its proper divisors (598111323880).

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

404444040440 is a wasteful number, since it uses less digits than its factorization.

404444040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101024 (or 9101020 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 404444040440 its reverse (44040444404), we get a palindrome (448484484844).

The spelling of 404444040440 in words is "four hundred four billion, four hundred forty-four million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 9100901 18201802 36403604 45504505 72807208 91009010 100109911 182018020 200219822 364036040 400439644 500549555 800879288 919191001 1001099110 1838382002 2002198220 3676764004 4004396440 4595955005 7353528008 9191910010 10111101011 18383820020 20222202022 36767640040 40444404044 50555505055 80888808088 101111010110 202222020220 404444040440