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4404400444000 = 25539901111211
BaseRepresentation
bin100000000010111101010…
…1110010101001001100000
3120121001112020110210021101
41000011322232111021200
51034130203003202000
613211204215004144
7633131102031664
oct100057256251140
916531466423241
104404400444000
111448994256747
125b1728969654
1325c443cc3b9b
14113261ad48a4
157987dd78e6a
hex4017ab95260

4404400444000 has 96 divisors (see below), whose sum is σ = 10822802189472. Its totient is φ = 1761566400000.

The previous prime is 4404400443983. The next prime is 4404400444009. The reversal of 4404400444000 is 4440044044.

It is a super-2 number, since 2×44044004440002 (a number of 26 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 4404400444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404400444009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39548395 + ... + 39659605.

It is an arithmetic number, because the mean of its divisors is an integer number (112737522807).

Almost surely, 24404400444000 is an apocalyptic number.

4404400444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404400444000 is an abundant number, since it is smaller than the sum of its proper divisors (6418401745472).

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

4404400444000 is a wasteful number, since it uses less digits than its factorization.

4404400444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121137 (or 121119 counting only the distinct ones).

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

Adding to 4404400444000 its reverse (4440044044), we get a palindrome (4408840488044).

It can be divided in two parts, 440440044 and 4000, that added together give a palindrome (440444044).

The spelling of 4404400444000 in words is "four trillion, four hundred four billion, four hundred million, four hundred 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 9901 19802 39604 49505 79208 99010 111211 158416 198020 222422 247525 316832 396040 444844 495050 556055 792080 889688 990100 1112110 1237625 1584160 1779376 1980200 2224220 2475250 2780275 3558752 3960400 4448440 4950500 5560550 7920800 8896880 9901000 11121100 13901375 17793760 19802000 22242200 27802750 39604000 44484400 55605500 88968800 111211000 222422000 444844000 1101100111 2202200222 4404400444 5505500555 8808800888 11011001110 17617601776 22022002220 27527502775 35235203552 44044004440 55055005550 88088008880 110110011100 137637513875 176176017760 220220022200 275275027750 440440044400 550550055500 880880088800 1101100111000 2202200222000 4404400444000