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4045401433242 = 2321340034318771
BaseRepresentation
bin111010110111100100101…
…101110010010010011010
3112022201212222111110212200
4322313210231302102122
51012234440231330432
612334233132151030
7565161550552521
oct72674455622232
915281788443780
104045401433242
11131a710711424
12554038908476
13234630c30630
14ddb270274b8
157036bc91a7c
hex3ade4b7249a

4045401433242 has 48 divisors (see below), whose sum is σ = 9441630246048. Its totient is φ = 1244427662880.

The previous prime is 4045401433231. The next prime is 4045401433259. The reversal of 4045401433242 is 2423341045404.

4045401433242 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 401 + 4 + 3 + 3 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4045401433197 and 4045401433206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222684 + ... + 3096087.

It is an arithmetic number, because the mean of its divisors is an integer number (196700630126).

Almost surely, 24045401433242 is an apocalyptic number.

4045401433242 is an abundant number, since it is smaller than the sum of its proper divisors (5396228812806).

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

4045401433242 is a wasteful number, since it uses less digits than its factorization.

4045401433242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322795 (or 4322792 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4045401433242 its reverse (2423341045404), we get a palindrome (6468742478646).

The spelling of 4045401433242 in words is "four trillion, forty-five billion, four hundred one million, four hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4003 8006 12009 24018 36027 52039 72054 104078 156117 312234 468351 936702 4318771 8637542 12956313 25912626 38868939 56144023 77737878 112288046 168432069 336864138 505296207 1010592414 17288040313 34576080626 51864120939 103728241878 155592362817 224744524069 311184725634 449489048138 674233572207 1348467144414 2022700716621 4045401433242