Search a number
-
+
422242424244004 = 2271317238928562447
BaseRepresentation
bin110000000000001101111100…
…1101101001100011100100100
32001101000222111112120001100111
41200000123321231030130210
5420321004441101302004
64054011254123022404
7154640002616360020
oct14000337155143444
92041028445501314
10422242424244004
111125a30087150a1
123b4354b166aa04
131517b39c791280
14763a8dc975380
1533c3763b62a04
hex18006f9b4c724

422242424244004 has 96 divisors (see below), whose sum is σ = 963345106160640. Its totient is φ = 157149206894592.

The previous prime is 422242424243933. The next prime is 422242424244019. The reversal of 422242424244004 is 400442424242224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501909 + ... + 29064355.

It is an arithmetic number, because the mean of its divisors is an integer number (10034844855840).

Almost surely, 2422242424244004 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 422242424244004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481672553080320).

422242424244004 is an abundant number, since it is smaller than the sum of its proper divisors (541102681916636).

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

422242424244004 is a wasteful number, since it uses less digits than its factorization.

422242424244004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28564877 (or 28564875 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 422242424244004 its reverse (400442424242224), we get a palindrome (822684848486228).

The spelling of 422242424244004 in words is "four hundred twenty-two trillion, two hundred forty-two billion, four hundred twenty-four million, two hundred forty-four thousand, four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 2389 3094 4778 6188 9556 16723 31057 33446 40613 62114 66892 81226 124228 162452 217399 284291 434798 527969 568582 869596 1055938 1137164 2111876 3695783 7391566 14783132 28562447 57124894 114249788 199937129 371311811 399874258 485561599 742623622 799748516 971123198 1485247244 1942246396 2599182677 3398931193 5198365354 6312300787 6797862386 10396730708 12624601574 13595724772 25249203148 44186105509 68235685883 88372211018 136471371766 176744422036 272942743532 477649801181 887063916479 955299602362 1160006660011 1774127832958 1910599204724 2320013320022 3548255665916 4640026640044 6209447415353 8120046620077 12418894830706 15080086580143 16240093240154 24837789661412 30160173160286 32480186480308 60320346320572 105560606061001 211121212122002 422242424244004