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242144324042103 = 3274519785040173
BaseRepresentation
bin110111000011101010011110…
…011010110011110101110111
31011202100202211021112220020200
4313003222132122303311313
5223214243033423321403
62214555322231531543
7102001231040114430
oct6703523632636567
91152322737486220
10242144324042103
117017791626115a
12231a9238229bb3
13a51615b769392
1443b1bc25a2487
151cedae23dcca3
hexdc3a9e6b3d77

242144324042103 has 24 divisors (see below), whose sum is σ = 399739161583008. Its totient is φ = 138365122093632.

The previous prime is 242144324042087. The next prime is 242144324042119. The reversal of 242144324042103 is 301240423441242.

242144324042103 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 4 + 4 + 32 + 404 + 210 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (242144324042087) and next prime (242144324042119).

It is not a de Polignac number, because 242144324042103 - 24 = 242144324042087 is a prime.

It is a super-3 number, since 3×2421443240421033 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242144324042503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39672676 + ... + 45367497.

It is an arithmetic number, because the mean of its divisors is an integer number (16655798399292).

Almost surely, 2242144324042103 is an apocalyptic number.

242144324042103 is a deficient number, since it is larger than the sum of its proper divisors (157594837540905).

242144324042103 is a wasteful number, since it uses less digits than its factorization.

242144324042103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85085383 (or 85085380 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 242144324042103 its reverse (301240423441242), we get a palindrome (543384747483345).

The spelling of 242144324042103 in words is "two hundred forty-two trillion, one hundred forty-four billion, three hundred twenty-four million, forty-two thousand, one hundred three".

Divisors: 1 3 7 9 21 63 45197 135591 316379 406773 949137 2847411 85040173 255120519 595281211 765361557 1785843633 5357530899 3843560699081 11530682097243 26904924893567 34592046291729 80714774680701 242144324042103