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42022244424024 = 2333223678697967
BaseRepresentation
bin10011000111000000100001…
…11100111001100101011000
312111210021202110120200111000
421203200100330321211120
521001443024033032044
6225212430320305000
711565002251040004
oct1143402074714530
9174707673520430
1042022244424024
1112431596506967
124868238772160
131a5a8b04c04c7
14a53c5d373704
154cd165a09d69
hex263810f39958

42022244424024 has 64 divisors (see below), whose sum is σ = 116733688934400. Its totient is φ = 14006786944032.

The previous prime is 42022244424011. The next prime is 42022244424029. The reversal of 42022244424024 is 42042444222024.

42022244424024 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 244 + 4 + 2 + 402 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42022244424024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42022244424029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482289 + ... + 9180255.

It is an arithmetic number, because the mean of its divisors is an integer number (1823963889600).

Almost surely, 242022244424024 is an apocalyptic number.

It is an amenable number.

42022244424024 is an abundant number, since it is smaller than the sum of its proper divisors (74711444510376).

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

42022244424024 is a wasteful number, since it uses less digits than its factorization.

42022244424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720349 (or 8720339 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 42022244424024 its reverse (42042444222024), we get a palindrome (84064688646048).

The spelling of 42022244424024 in words is "forty-two trillion, twenty-two billion, two hundred forty-four million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 22367 44734 67101 89468 134202 178936 201303 268404 402606 536808 603909 805212 1207818 1610424 2415636 4831272 8697967 17395934 26093901 34791868 52187802 69583736 78281703 104375604 156563406 208751208 234845109 313126812 469690218 626253624 939380436 1878760872 194547427889 389094855778 583642283667 778189711556 1167284567334 1556379423112 1750926851001 2334569134668 3501853702002 4669138269336 5252780553003 7003707404004 10505561106006 14007414808008 21011122212012 42022244424024