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242432430432 = 2532525337817
BaseRepresentation
bin1110000111001000011…
…0010101000101100000
3212011202112101111020220
43201302012111011200
512433000200233212
6303212200203040
723341462441503
oct3416206250540
9764675344226
10242432430432
11938a6872225
123ab9a169480
1319b2730368a
14ba3b75113a
15648d78b38c
hex3872195160

242432430432 has 24 divisors (see below), whose sum is σ = 636385130136. Its totient is φ = 80810810112.

The previous prime is 242432430403. The next prime is 242432430439. The reversal of 242432430432 is 234034234242.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 242432430393 and 242432430402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242432430439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262668813 + ... + 1262669004.

It is an arithmetic number, because the mean of its divisors is an integer number (26516047089).

Almost surely, 2242432430432 is an apocalyptic number.

It is an amenable number.

242432430432 is an abundant number, since it is smaller than the sum of its proper divisors (393952699704).

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

242432430432 is a wasteful number, since it uses less digits than its factorization.

242432430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525337830 (or 2525337822 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 242432430432 its reverse (234034234242), we get a palindrome (476466664674).

The spelling of 242432430432 in words is "two hundred forty-two billion, four hundred thirty-two million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2525337817 5050675634 7576013451 10101351268 15152026902 20202702536 30304053804 40405405072 60608107608 80810810144 121216215216 242432430432