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42048217242 = 23219071224967
BaseRepresentation
bin100111001010010001…
…001110000010011010
311000112102010202100100
4213022101032002122
51142103320422432
631152223120230
73015664643433
oct471221160232
9130472122310
1042048217242
1116918138a69
128195a43076
133c7150c725
14206c61848a
15116172107c
hex9ca44e09a

42048217242 has 24 divisors (see below), whose sum is σ = 91152318816. Its totient is φ = 14008711176.

The previous prime is 42048217229. The next prime is 42048217243. The reversal of 42048217242 is 24271284024.

42048217242 is a `hidden beast` number, since 4 + 2 + 0 + 482 + 172 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42048217197 and 42048217206.

It is not an unprimeable number, because it can be changed into a prime (42048217243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578158 + ... + 646809.

It is an arithmetic number, because the mean of its divisors is an integer number (3798013284).

Almost surely, 242048217242 is an apocalyptic number.

42048217242 is an abundant number, since it is smaller than the sum of its proper divisors (49104101574).

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

42048217242 is a wasteful number, since it uses less digits than its factorization.

42048217242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226882 (or 1226879 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 42048217242 in words is "forty-two billion, forty-eight million, two hundred seventeen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 1907 3814 5721 11442 17163 34326 1224967 2449934 3674901 7349802 11024703 22049406 2336012069 4672024138 7008036207 14016072414 21024108621 42048217242