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242642331641304 = 23337181886617307
BaseRepresentation
bin110111001010111010010001…
…111111000010010111011000
31011211010101021021201011102000
4313022322101333002113120
5223300422443400010204
62220020203123041000
7102052221113632320
oct6712722177022730
91154111237634360
10242642331641304
117034a0425a2421
1223269861b10160
13a5510c5ba096a
1443cbd46d48280
151d0ba3d160039
hexdcae91fc25d8

242642331641304 has 128 divisors (see below), whose sum is σ = 774548880268800. Its totient is φ = 68943361714560.

The previous prime is 242642331641261. The next prime is 242642331641371. The reversal of 242642331641304 is 403146133246242.

242642331641304 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 4 + 2 + 331 + 6 + 4 + 1 + 304 = 666.

It is a super-2 number, since 2×2426423316413042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242642331641304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443034982 + ... + 443582325.

It is an arithmetic number, because the mean of its divisors is an integer number (6051163127100).

Almost surely, 2242642331641304 is an apocalyptic number.

242642331641304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242642331641304 is an abundant number, since it is smaller than the sum of its proper divisors (531906548627496).

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

242642331641304 is a wasteful number, since it uses less digits than its factorization.

242642331641304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886617510 (or 886617500 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

Adding to 242642331641304 its reverse (403146133246242), we get a palindrome (645788464887546).

The spelling of 242642331641304 in words is "two hundred forty-two trillion, six hundred forty-two billion, three hundred thirty-one million, six hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 181 189 216 252 362 378 504 543 724 756 1086 1267 1448 1512 1629 2172 2534 3258 3801 4344 4887 5068 6516 7602 9774 10136 11403 13032 15204 19548 22806 30408 34209 39096 45612 68418 91224 136836 273672 886617307 1773234614 2659851921 3546469228 5319703842 6206321149 7092938456 7979555763 10639407684 12412642298 15959111526 18618963447 21278815368 23938667289 24825284596 31918223052 37237926894 47877334578 49650569192 55856890341 63836446104 74475853788 95754669156 111713780682 148951707576 160477732567 167570671023 191509338312 223427561364 320955465134 335141342046 446855122728 481433197701 641910930268 670282684092 962866395402 1123344127969 1283821860536 1340565368184 1444299593103 1925732790804 2246688255938 2888599186206 3370032383907 3851465581608 4332898779309 4493376511876 5777198372412 6740064767814 8665797558618 8986753023752 10110097151721 11554396744824 13480129535628 17331595117236 20220194303442 26960259071256 30330291455163 34663190234472 40440388606884 60660582910326 80880777213768 121321165820652 242642331641304