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242142303546 = 2321113443212353
BaseRepresentation
bin1110000110000011001…
…1100101010100111010
3212011000022110111222200
43201200303211110322
512431401412203141
6303123313531030
723331340422513
oct3414063452472
9764008414880
10242142303546
1193768021640
123ab18b73a76
1319aac181770
14ba10dcba0a
15647307cab6
hex3860ce553a

242142303546 has 96 divisors (see below), whose sum is σ = 617756473152. Its totient is φ = 67578900480.

The previous prime is 242142303539. The next prime is 242142303547. The reversal of 242142303546 is 645303241242.

242142303546 is a `hidden beast` number, since 2 + 42 + 1 + 42 + 30 + 3 + 546 = 666.

242142303546 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242142303546.

It is not an unprimeable number, because it can be changed into a prime (242142303547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034106 + ... + 1246458.

It is an arithmetic number, because the mean of its divisors is an integer number (6434963262).

Almost surely, 2242142303546 is an apocalyptic number.

242142303546 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242142303546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308878236576).

242142303546 is an abundant number, since it is smaller than the sum of its proper divisors (375614169606).

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

242142303546 is a wasteful number, since it uses less digits than its factorization.

242142303546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212828 (or 212825 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 242142303546 its reverse (645303241242), we get a palindrome (887445544788).

The spelling of 242142303546 in words is "two hundred forty-two billion, one hundred forty-two million, three hundred three thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 443 858 886 1287 1329 2574 2658 3987 4873 5759 7974 9746 11518 14619 17277 29238 34554 43857 51831 63349 87714 103662 126698 190047 212353 380094 424706 570141 637059 1140282 1274118 1911177 2335883 2760589 3822354 4671766 5521178 7007649 8281767 14015298 16563534 21022947 24845301 30366479 42045894 49690602 60732958 91099437 94072379 182198874 188144758 273298311 282217137 546596622 564434274 846651411 1034796169 1222940927 1693302822 2069592338 2445881854 3104388507 3668822781 6208777014 7337645562 9313165521 11006468343 13452350197 18626331042 22012936686 26904700394 40357050591 80714101182 121071151773 242142303546