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4224120320440 = 235439240553549
BaseRepresentation
bin111101011110000001001…
…100001111000110111000
3112221211012012121121202001
4331132001030033012320
51023201444300223230
612552311210150344
7614116432205056
oct75360114170670
915854165547661
104224120320440
111389491886599
125827b54223b4
13248443320967
1410863ca1b1d6
1574d2bc8b0ca
hex3d78130f1b8

4224120320440 has 32 divisors (see below), whose sum is σ = 9525920580000. Its totient is φ = 1685799264384.

The previous prime is 4224120320437. The next prime is 4224120320461. The reversal of 4224120320440 is 440230214224.

4224120320440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4224120320399 and 4224120320408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120259215 + ... + 120294334.

It is an arithmetic number, because the mean of its divisors is an integer number (297685018125).

Almost surely, 24224120320440 is an apocalyptic number.

4224120320440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224120320440 is an abundant number, since it is smaller than the sum of its proper divisors (5301800259560).

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

4224120320440 is a wasteful number, since it uses less digits than its factorization.

4224120320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240553999 (or 240553995 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4224120320440 its reverse (440230214224), we get a palindrome (4664350534664).

The spelling of 4224120320440 in words is "four trillion, two hundred twenty-four billion, one hundred twenty million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 439 878 1756 2195 3512 4390 8780 17560 240553549 481107098 962214196 1202767745 1924428392 2405535490 4811070980 9622141960 105603008011 211206016022 422412032044 528015040055 844824064088 1056030080110 2112060160220 4224120320440