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14235012343412 = 22724335321372239
BaseRepresentation
bin1100111100100101100011…
…0110101010011001110100
31212101212001111002222011122
43033021120312222121310
53331211301124442122
650135250245123112
72666305606330400
oct317113066523164
955355044088148
1014235012343412
1145990423a8693
12171aa109b9498
137c3481bc9193
14372d9a550100
1519a443040142
hexcf258daa674

14235012343412 has 144 divisors (see below), whose sum is σ = 29763537914880. Its totient is φ = 5936528683008.

The previous prime is 14235012343379. The next prime is 14235012343421. The reversal of 14235012343412 is 21434321053241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6357753389 + ... + 6357755627.

It is an arithmetic number, because the mean of its divisors is an integer number (206691235520).

Almost surely, 214235012343412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14235012343412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881768957440).

14235012343412 is an abundant number, since it is smaller than the sum of its proper divisors (15528525571468).

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

14235012343412 is a wasteful number, since it uses less digits than its factorization.

14235012343412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 14235012343412 its reverse (21434321053241), we get a palindrome (35669333396653).

The spelling of 14235012343412 in words is "fourteen trillion, two hundred thirty-five billion, twelve million, three hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 353 602 706 1204 1412 2107 2137 2239 2471 4214 4274 4478 4942 8428 8548 8956 9884 14959 15179 15673 17297 29918 30358 31346 34594 59836 60716 62692 69188 91891 96277 104713 106253 109711 183782 192554 209426 212506 219422 367564 385108 418852 425012 438844 643237 673939 743771 754361 790367 1286474 1347878 1487542 1508722 1580734 2572948 2695756 2975084 3017444 3161468 4502659 4717573 4784743 5280527 5532569 9005318 9435146 9569486 10561054 11065138 18010636 18870292 19138972 21122108 22130276 32437523 33493201 33985781 36963689 38727983 64875046 66986402 67971562 73927378 77455966 129750092 133972804 135943124 147854756 154911932 205743949 227062661 234452407 237900467 411487898 454125322 468904814 475800934 822975796 908250644 937809628 951601868 1440207643 1589438627 1665303269 1689014279 2880415286 3178877254 3330606538 3378028558 5760830572 6357754508 6661213076 6756057116 10081453501 11823099953 20162907002 23646199906 40325814004 47292399812 72627613997 82761699671 145255227994 165523399342 290510455988 331046798684 508393297979 1016786595958 2033573191916 3558753085853 7117506171706 14235012343412