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4224131322424 = 231329757755823
BaseRepresentation
bin111101011110000001110…
…110001101001000111000
3112221211012222022120121221
4331132001312031020320
51023202010104304144
612552312242041424
7614116624546606
oct75360166151070
915854188276557
104224131322424
111389498010542
125827b9049274
132484456a3600
14108640282876
1574d2cc10d84
hex3d781d8d238

4224131322424 has 96 divisors (see below), whose sum is σ = 8679949830720. Its totient is φ = 1926121586688.

The previous prime is 4224131322421. The next prime is 4224131322449. The reversal of 4224131322424 is 4242231314224.

4224131322424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4224131322424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224131322421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75642177 + ... + 75697999.

It is an arithmetic number, because the mean of its divisors is an integer number (90416144070).

Almost surely, 24224131322424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224131322424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339974915360).

4224131322424 is an abundant number, since it is smaller than the sum of its proper divisors (4455818508296).

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

4224131322424 is a wasteful number, since it uses less digits than its factorization.

4224131322424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56529 (or 56512 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

Adding to 4224131322424 its reverse (4242231314224), we get a palindrome (8466362636648).

The spelling of 4224131322424 in words is "four trillion, two hundred twenty-four billion, one hundred thirty-one million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 97 104 169 194 338 388 577 676 776 1154 1261 1352 2308 2522 4616 5044 7501 10088 15002 16393 30004 32786 55823 55969 60008 65572 97513 111646 111938 131144 195026 223292 223876 390052 446584 447752 725699 727597 780104 1451398 1455194 2902796 2910388 5414831 5805592 5820776 9434087 9458761 10829662 18868174 18917522 21659324 32209871 37736348 37835044 43318648 64419742 70392803 75472696 75670088 128839484 140785606 257678968 281571212 418728323 563142424 837456646 915106439 1674913292 1830212878 3124357487 3349826584 3660425756 5443468199 6248714974 7320851512 10886936398 12497429948 21773872796 24994859896 40616647331 43547745592 81233294662 162466589324 324933178648 528016415303 1056032830606 2112065661212 4224131322424