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24234033043242 = 23211122394106279
BaseRepresentation
bin1011000001010011011001…
…11011100101011100101010
310011210202021102121121201100
411200221230323211130222
511134022244424340432
6123312543332302230
75050564634046321
oct540515473453452
9104722242547640
1024234033043242
1177a3660966a20
122874874771976
13106a34b1b4339
145dad0d59d0b8
152c05b1ee007c
hex160a6cee572a

24234033043242 has 24 divisors (see below), whose sum is σ = 57280441739040. Its totient is φ = 7343646376680.

The previous prime is 24234033043229. The next prime is 24234033043247.

24234033043242 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 40 + 330 + 43 + 242 = 666.

24234033043242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×242340330432422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24234033043197 and 24234033043206.

It is not an unprimeable number, because it can be changed into a prime (24234033043247) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61197052942 + ... + 61197053337.

It is an arithmetic number, because the mean of its divisors is an integer number (2386685072460).

Almost surely, 224234033043242 is an apocalyptic number.

24234033043242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24234033043242 is an abundant number, since it is smaller than the sum of its proper divisors (33046408695798).

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

24234033043242 is a wasteful number, since it uses less digits than its factorization.

24234033043242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122394106298 (or 122394106295 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 2423403 and 3043242, that added together give a palindrome (5466645).

The spelling of 24234033043242 in words is "twenty-four trillion, two hundred thirty-four billion, thirty-three million, forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 122394106279 244788212558 367182318837 734364637674 1101546956511 1346335169069 2203093913022 2692670338138 4039005507207 8078011014414 12117016521621 24234033043242