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242414120142 = 233172311481203
BaseRepresentation
bin1110000111000100000…
…0011110110011001110
3212011201020221020021000
43201301000132303032
512432431003321032
6303210303521130
723341151010645
oct3416100366316
9764636836230
10242414120142
11938974a6457
123ab93bb91a6
1319b2359239c
14ba3914635c
15648bd70e7c
hex387101ecce

242414120142 has 64 divisors (see below), whose sum is σ = 595185615360. Its totient is φ = 72744895872.

The previous prime is 242414120129. The next prime is 242414120147. The reversal of 242414120142 is 241021414242.

242414120142 is a `hidden beast` number, since 2 + 4 + 2 + 414 + 1 + 201 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242414120147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5719488 + ... + 5761715.

It is an arithmetic number, because the mean of its divisors is an integer number (9299775240).

Almost surely, 2242414120142 is an apocalyptic number.

242414120142 is an abundant number, since it is smaller than the sum of its proper divisors (352771495218).

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

242414120142 is a wasteful number, since it uses less digits than its factorization.

242414120142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11481254 (or 11481248 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 242414120142 its reverse (241021414242), we get a palindrome (483435534384).

The spelling of 242414120142 in words is "two hundred forty-two billion, four hundred fourteen million, one hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2346 3519 7038 10557 21114 11481203 22962406 34443609 68887218 103330827 195180451 206661654 264067669 309992481 390360902 528135338 585541353 619984962 792203007 1171082706 1584406014 1756624059 2376609021 3513248118 4489150373 4753218042 5269872177 7129827063 8978300746 10539744354 13467451119 14259654126 26934902238 40402353357 80804706714 121207060071 242414120142