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24140114104224 = 2531092306968091
BaseRepresentation
bin1010111110100100011101…
…11011010000111110100000
310011110202212001120011220110
411133102032323100332200
511131002423202313344
6123201452035411320
75041031350201506
oct537221673207640
9104422761504813
1024140114104224
117767846097a58
12285a623453b40
1310615314b2941
145d656000c676
152bce16aa13b9
hex15f48eed0fa0

24140114104224 has 48 divisors (see below), whose sum is σ = 63949155510240. Its totient is φ = 7972881719040.

The previous prime is 24140114104217. The next prime is 24140114104259. The reversal of 24140114104224 is 42240141104142.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 24140114104191 and 24140114104200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153473582 + ... + 1153494509.

It is an arithmetic number, because the mean of its divisors is an integer number (1332274073130).

Almost surely, 224140114104224 is an apocalyptic number.

24140114104224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24140114104224 is an abundant number, since it is smaller than the sum of its proper divisors (39809041406016).

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

24140114104224 is a wasteful number, since it uses less digits than its factorization.

24140114104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306968213 (or 2306968205 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 24140114104224 its reverse (42240141104142), we get a palindrome (66380255208366).

The spelling of 24140114104224 in words is "twenty-four trillion, one hundred forty billion, one hundred fourteen million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 10464 2306968091 4613936182 6920904273 9227872364 13841808546 18455744728 27683617092 36911489456 55367234184 73822978912 110734468368 221468936736 251459521919 502919043838 754378565757 1005838087676 1508757131514 2011676175352 3017514263028 4023352350704 6035028526056 8046704701408 12070057052112 24140114104224