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12342042445024 = 2523229659111119
BaseRepresentation
bin1011001110011001101100…
…0011100100010011100000
31121200212222011021121220001
42303212123003210103200
53104203000331220044
642125504522425344
72412453213561025
oct263463303442340
947625864247801
1012342042445024
113a2925a227336
121473b79062254
136b6b077897a6
1430950267554c
151660a15602d4
hexb399b0e44e0

12342042445024 has 96 divisors (see below), whose sum is σ = 25504440192000. Its totient is φ = 5867969124864.

The previous prime is 12342042445021. The next prime is 12342042445079. The reversal of 12342042445024 is 42054424024321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342042445021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111014937 + ... + 111126055.

It is an arithmetic number, because the mean of its divisors is an integer number (265671252000).

Almost surely, 212342042445024 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 12342042445024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752220096000).

12342042445024 is an abundant number, since it is smaller than the sum of its proper divisors (13162397746976).

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

12342042445024 is a wasteful number, since it uses less digits than its factorization.

12342042445024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112040 (or 112032 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 12342042445024 its reverse (42054424024321), we get a palindrome (54396466469345).

The spelling of 12342042445024 in words is "twelve trillion, three hundred forty-two billion, forty-two million, four hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 229 368 458 659 736 916 1318 1832 2636 3664 5267 5272 7328 10534 10544 15157 21068 21088 30314 42136 60628 84272 111119 121256 150911 168544 222238 242512 301822 444476 485024 603644 888952 1207288 1777904 2414576 2555737 3470953 3555808 4829152 5111474 6941906 10222948 13883812 20445896 25446251 27767624 40891792 50892502 55535248 73227421 81783584 101785004 111070496 146454842 203570008 292909684 407140016 585263773 585819368 814280032 1170527546 1171638736 1684230683 2341055092 2343277472 3368461366 4682110184 6736922732 9364220368 13473845464 16769079409 18728440736 26947690928 33538158818 53895381856 67076317636 134152635272 268305270544 385688826407 536610541088 771377652814 1542755305628 3085510611256 6171021222512 12342042445024