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334213214423112 = 233423146317153259
BaseRepresentation
bin100101111111101110001001…
…1111011001100100001001000
31121211100110201112212222110000
41023333130103323030201020
5322301222130343014422
63142451233042323000
7130253052004652343
oct11377342373144110
91554313645788400
10334213214423112
1197544034691a82
1231598915359460
131146422b59781b
145c7601222745a
1528989bcc21cac
hex12ff713ecc848

334213214423112 has 160 divisors (see below), whose sum is σ = 976819787380800. Its totient is φ = 106559311453056.

The previous prime is 334213214423087. The next prime is 334213214423149. The reversal of 334213214423112 is 211324412312433.

334213214423112 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 1 + 3 + 214 + 423 + 1 + 12 = 666.

It is a super-2 number, since 2×3342132144231122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2180631939 + ... + 2180785197.

It is an arithmetic number, because the mean of its divisors is an integer number (6105123671130).

Almost surely, 2334213214423112 is an apocalyptic number.

It is an amenable number.

334213214423112 is an abundant number, since it is smaller than the sum of its proper divisors (642606572957688).

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

334213214423112 is a wasteful number, since it uses less digits than its factorization.

334213214423112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299617 (or 299604 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 334213214423112 its reverse (211324412312433), we get a palindrome (545537626735545).

The spelling of 334213214423112 in words is "three hundred thirty-four trillion, two hundred thirteen billion, two hundred fourteen million, four hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 146317 153259 292634 306518 438951 459777 585268 613036 877902 919554 1170536 1226072 1316853 1379331 1755804 1839108 2633706 2758662 3365291 3511608 3524957 3678216 3950559 4137993 5267412 5517324 6730582 7049914 7901118 8275986 10095873 10534824 10574871 11034648 11851677 12413979 13461164 14099828 15802236 16551972 20191746 21149742 23703354 24827958 26922328 28199656 30287619 31604472 31724613 33103944 40383492 42299484 47406708 49655916 60575238 63449226 80766984 84598968 90862857 94813416 95173839 99311832 121150476 126898452 181725714 190347678 242300952 253796904 272588571 285521517 363451428 380695356 545177142 571043034 726902856 761390712 1090354284 1142086068 2180708568 2284172136 22424397103 44848794206 67273191309 89697588412 134546382618 179395176824 201819573927 269092765236 403639147854 515761133369 538185530472 605458721781 807278295708 1031522266738 1210917443562 1547283400107 1614556591416 1816376165343 2063044533476 2421834887124 3094566800214 3632752330686 4126089066952 4641850200321 4843669774248 6189133600428 7265504661372 9283700400642 12378267200856 13925550600963 14531009322744 18567400801284 27851101201926 37134801602568 41776651802889 55702202403852 83553303605778 111404404807704 167106607211556 334213214423112