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2242140240042 = 232373366576937
BaseRepresentation
bin100000101000001001111…
…110001111100010101010
321221100100121102112100200
4200220021332033202222
5243213400400140132
64434005222413030
7320663216404533
oct40501176174252
97840317375320
102242140240042
1179498279304a
12302660291176
13133582172811
147a73d4a168a
153d4cac9dd7c
hex20a09f8f8aa

2242140240042 has 24 divisors (see below), whose sum is σ = 4989267022116. Its totient is φ = 727180618176.

The previous prime is 2242140240013. The next prime is 2242140240107. The reversal of 2242140240042 is 2400420412422.

2242140240042 is a `hidden beast` number, since 2 + 2 + 4 + 214 + 0 + 2 + 400 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2237749719921 + 4390520121 = 1495911^2 + 66261^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2242140239988 and 2242140240015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1683287803 + ... + 1683289134.

Almost surely, 22242140240042 is an apocalyptic number.

2242140240042 is an abundant number, since it is smaller than the sum of its proper divisors (2747126782074).

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

2242140240042 is a wasteful number, since it uses less digits than its factorization.

2242140240042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366576982 (or 3366576979 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2242140240042 its reverse (2400420412422), we get a palindrome (4642560652464).

The spelling of 2242140240042 in words is "two trillion, two hundred forty-two billion, one hundred forty million, two hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3366576937 6733153874 10099730811 20199461622 30299192433 60598384866 124563346669 249126693338 373690040007 747380080014 1121070120021 2242140240042