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24434243442 = 23271631189709
BaseRepresentation
bin10110110000011001…
…001111011101110010
32100001212100011201100
4112300121033131302
5400020131242232
615120330345230
71523334433230
oct266031173562
970055304640
1024434243442
11a3a9547824
12489ab8b216
1323c526a21b
14127b195950
159801bac7c
hex5b064f772

24434243442 has 48 divisors (see below), whose sum is σ = 60875081280. Its totient is φ = 6938377056.

The previous prime is 24434243441. The next prime is 24434243461.

24434243442 is a `hidden beast` number, since 244 + 342 + 4 + 34 + 42 = 666.

24434243442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24434243397 and 24434243406.

It is not an unprimeable number, because it can be changed into a prime (24434243441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574317 + ... + 615392.

It is an arithmetic number, because the mean of its divisors is an integer number (1268230860).

Almost surely, 224434243442 is an apocalyptic number.

24434243442 is an abundant number, since it is smaller than the sum of its proper divisors (36440837838).

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

24434243442 is a wasteful number, since it uses less digits than its factorization.

24434243442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189887 (or 1189884 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 24434243442 in words is "twenty-four billion, four hundred thirty-four million, two hundred forty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 978 1141 1467 2282 2934 3423 6846 10269 20538 1189709 2379418 3569127 7138254 8327963 10707381 16655926 21414762 24983889 49967778 74951667 149903334 193922567 387845134 581767701 1163535402 1357457969 1745303103 2714915938 3490606206 4072373907 8144747814 12217121721 24434243442