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12314743140312 = 2332477195061347
BaseRepresentation
bin1011001100110011111111…
…1000111110111111011000
31121121021111121211020222100
42303030333320332333120
53103231043220442222
642105152003523400
72410465546402254
oct263147770767730
947537447736870
1012314743140312
113a18720504688
12146a81a689560
136b4376a92752
14308072ba1264
15165504aa74ac
hexb333fe3efd8

12314743140312 has 96 divisors (see below), whose sum is σ = 34109436441600. Its totient is φ = 4011987256512.

The previous prime is 12314743140299. The next prime is 12314743140313. The reversal of 12314743140312 is 21304134741321.

12314743140312 is a `hidden beast` number, since 1 + 2 + 31 + 474 + 3 + 140 + 3 + 12 = 666.

It is a super-2 number, since 2×123147431403122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314743140313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97578 + ... + 4963769.

It is an arithmetic number, because the mean of its divisors is an integer number (355306629600).

Almost surely, 212314743140312 is an apocalyptic number.

12314743140312 is a gapful number since it is divisible by the number (12) 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 12314743140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054718220800).

12314743140312 is an abundant number, since it is smaller than the sum of its proper divisors (21794693301288).

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

12314743140312 is a wasteful number, since it uses less digits than its factorization.

12314743140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062125 (or 5062118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 12314743140312 its reverse (21304134741321), we get a palindrome (33618877881633).

The spelling of 12314743140312 in words is "twelve trillion, three hundred fourteen billion, seven hundred forty-three million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 719 846 1128 1438 1692 2157 2876 3384 4314 5752 6471 8628 12942 17256 25884 33793 51768 67586 101379 135172 202758 270344 304137 405516 608274 811032 1216548 2433096 5061347 10122694 15184041 20245388 30368082 40490776 45552123 60736164 91104246 121472328 182208492 237883309 364416984 475766618 713649927 951533236 1427299854 1903066472 2140949781 2854599708 3639108493 4281899562 5709199416 7278216986 8563799124 10917325479 14556433972 17127598248 21834650958 29112867944 32751976437 43669301916 65503952874 87338603832 131007905748 171038099171 262015811496 342076198342 513114297513 684152396684 1026228595026 1368304793368 1539342892539 2052457190052 3078685785078 4104914380104 6157371570156 12314743140312