Search a number
-
+
40444004044000 = 255310111001011
BaseRepresentation
bin10010011001000100110100…
…11111101000110011100000
312022012102001011212102120201
421030202122133220303200
520300113310013402000
6222003415143514544
711342661060124144
oct1114423237506340
9168172034772521
1040444004044000
1111983229a00a87
12465239b158a54
131974b1269465b
149db700933224
154a20948c096a
hex24c89a7e8ce0

40444004044000 has 48 divisors (see below), whose sum is σ = 99370917945936. Its totient is φ = 16177601616000.

The previous prime is 40444004043997. The next prime is 40444004044007. The reversal of 40444004044000 is 44040044404.

It is a super-2 number, since 2×404440040440002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40444004044000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444004044007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5055496506 + ... + 5055504505.

It is an arithmetic number, because the mean of its divisors is an integer number (2070227457207).

Almost surely, 240444004044000 is an apocalyptic number.

40444004044000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444004044000 is an abundant number, since it is smaller than the sum of its proper divisors (58926913901936).

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

40444004044000 is a wasteful number, since it uses less digits than its factorization.

40444004044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111001036 (or 10111001018 counting only the distinct ones).

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

Adding to 40444004044000 its reverse (44040044404), we get a palindrome (40488044088404).

The spelling of 40444004044000 in words is "forty trillion, four hundred forty-four billion, four million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 10111001011 20222002022 40444004044 50555005055 80888008088 101110010110 161776016176 202220020220 252775025275 323552032352 404440040440 505550050550 808880080880 1011100101100 1263875126375 1617760161760 2022200202200 2527750252750 4044400404400 5055500505500 8088800808800 10111001011000 20222002022000 40444004044000