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12314014313244 = 22372172834352983
BaseRepresentation
bin1011001100110001010001…
…1100101110101100011100
31121121012121211102000012020
42303030110130232230130
53103223100131010434
642104551410340140
72410441516436100
oct263142434565434
947535554360166
1012314014313244
113a18387066066
12146a65658a650
136b428ba9c227
14308004081900
151654b0add849
hexb331472eb1c

12314014313244 has 144 divisors (see below), whose sum is σ = 35514916915968. Its totient is φ = 3299630003712.

The previous prime is 12314014313233. The next prime is 12314014313287. The reversal of 12314014313244 is 44231341041321.

It is a happy number.

12314014313244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652377 + ... + 5005359.

It is an arithmetic number, because the mean of its divisors is an integer number (246631367472).

Almost surely, 212314014313244 is an apocalyptic number.

12314014313244 is a gapful number since it is divisible by the number (14) 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 12314014313244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757458457984).

12314014313244 is an abundant number, since it is smaller than the sum of its proper divisors (23200902602724).

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

12314014313244 is a wasteful number, since it uses less digits than its factorization.

12314014313244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353304 (or 4353295 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 12314014313244 its reverse (44231341041321), we get a palindrome (56545355354565).

The spelling of 12314014313244 in words is "twelve trillion, three hundred fourteen billion, fourteen million, three hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 283 294 357 476 566 588 714 833 849 1132 1428 1666 1698 1981 2499 3332 3396 3962 4811 4998 5943 7924 9622 9996 11886 13867 14433 19244 23772 27734 28866 33677 41601 55468 57732 67354 83202 101031 134708 166404 202062 235739 404124 471478 707217 942956 1414434 2828868 4352983 8705966 13058949 17411932 26117898 30470881 52235796 60941762 74000711 91412643 121883524 148001422 182825286 213296167 222002133 296002844 365650572 426592334 444004266 518004977 639888501 853184668 888008532 1036009954 1231894189 1279777002 1554014931 2072019908 2463788378 2559554004 3108029862 3626034839 3695682567 4927576756 6216059724 7252069678 7391365134 8623259323 10878104517 14504139356 14782730268 17246518646 20942201213 21756209034 25869777969 34493037292 41884402426 43512418068 51739555938 60362815261 62826603639 83768804852 103479111876 120725630522 125653207278 146595408491 181088445783 241451261044 251306414556 293190816982 362176891566 439786225473 586381633964 724353783132 879572450946 1026167859437 1759144901892 2052335718874 3078503578311 4104671437748 6157007156622 12314014313244