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234011141412312 = 2331137154511550509
BaseRepresentation
bin110101001101010011110110…
…111101010001010111011000
31010200120020122210112220110010
4311031103312331101113120
5221133014304200143222
62145411122333521520
7100201514143324605
oct6515236675212730
91120506583486403
10234011141412312
116862162773aa40
12222b4b159432a0
13a076204804304
1441b02b1cb16ac
151c0c277ee780c
hexd4d4f6f515d8

234011141412312 has 128 divisors (see below), whose sum is σ = 655504027027200. Its totient is φ = 68991403968000.

The previous prime is 234011141412287. The next prime is 234011141412341. The reversal of 234011141412312 is 213214141110432.

It is a super-2 number, since 2×2340111414123122 (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 234011141412312.

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, 150150114 + ... + 151700622.

It is an arithmetic number, because the mean of its divisors is an integer number (5121125211150).

Almost surely, 2234011141412312 is an apocalyptic number.

234011141412312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234011141412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327752013513600).

234011141412312 is an abundant number, since it is smaller than the sum of its proper divisors (421492885614888).

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

234011141412312 is a wasteful number, since it uses less digits than its factorization.

234011141412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566017 (or 1566013 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 234011141412312 its reverse (213214141110432), we get a palindrome (447225282522744).

The spelling of 234011141412312 in words is "two hundred thirty-four trillion, eleven billion, one hundred forty-one million, four hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 15451 30902 46353 61804 92706 123608 169961 185412 339922 370824 509883 571687 679844 1019766 1143374 1359688 1550509 1715061 2039532 2286748 3101018 3430122 4079064 4573496 4651527 6202036 6288557 6860244 9303054 12404072 12577114 13720488 17055599 18606108 18865671 25154228 34111198 37212216 37731342 50308456 51166797 57368833 68222396 75462684 102333594 114737666 136444792 150925368 172106499 204667188 229475332 344212998 409334376 458950664 631057163 688425996 1262114326 1376851992 1893171489 2524228652 3786342978 5048457304 7572685956 15145371912 23956914559 47913829118 71870743677 95827658236 143741487354 191655316472 263526060149 287482974708 527052120298 574965949416 790578180447 886405838683 1054104240596 1581156360894 1772811677366 2108208481192 2659217516049 3162312721788 3545623354732 5318435032098 6324625443576 7091246709464 9750464225513 10636870064196 19500928451026 21273740128392 29251392676539 39001856902052 58502785353078 78003713804104 117005570706156 234011141412312