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242230231343142 = 233722725111247007
BaseRepresentation
bin110111000100111010011110…
…111001001010000000100110
31011202122222120022021221212000
4313010322132321022000212
5223222200003210440032
62215103010531310130
7102010361642121150
oct6704723671120046
91152588508257760
10242230231343142
117020029a733a09
1223201a1244b346
13a52129c6b16a3
1443b6011ad9ad0
151d00e6e2d2e7c
hexdc4e9ee4a026

242230231343142 has 128 divisors (see below), whose sum is σ = 620359767982080. Its totient is φ = 68629230612000.

The previous prime is 242230231343141. The next prime is 242230231343179. The reversal of 242230231343142 is 241343132032242.

242230231343142 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 302 + 3 + 1 + 34 + 314 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242230231343097 and 242230231343106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242230231343141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15913803 + ... + 27160809.

It is an arithmetic number, because the mean of its divisors is an integer number (4846560687360).

Almost surely, 2242230231343142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242230231343142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310179883991040).

242230231343142 is an abundant number, since it is smaller than the sum of its proper divisors (378129536638938).

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

242230231343142 is a wasteful number, since it uses less digits than its factorization.

242230231343142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247503 (or 11247497 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 242230231343142 its reverse (241343132032242), we get a palindrome (483573363375384).

The spelling of 242230231343142 in words is "two hundred forty-two trillion, two hundred thirty billion, two hundred thirty-one million, three hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 227 251 378 454 502 681 753 1362 1506 1589 1757 2043 2259 3178 3514 4086 4518 4767 5271 6129 6777 9534 10542 12258 13554 14301 15813 28602 31626 42903 47439 56977 85806 94878 113954 170931 341862 398839 512793 797678 1025586 1196517 1538379 2393034 3076758 3589551 7179102 10768653 11247007 21537306 22494014 33741021 67482042 78729049 101223063 157458098 202446126 236187147 303669189 472374294 607338378 708561441 1417122882 2125684323 2553070589 2822998757 4251368646 5106141178 5645997514 7659211767 8468996271 15318423534 16937992542 17871494123 19760991299 22977635301 25406988813 35742988246 39521982598 45955270602 50813977626 53614482369 59282973897 68932905903 76220966439 107228964738 118565947794 137865811806 152441932878 160843447107 177848921691 321686894214 355697843382 482530341321 533546765073 640820717839 965060682642 1067093530146 1281641435678 1922462153517 3844924307034 4485745024873 5767386460551 8971490049746 11534772921102 13457235074619 17302159381653 26914470149238 34604318763306 40371705223857 80743410447714 121115115671571 242230231343142