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42424122443301 = 3237731745202289
BaseRepresentation
bin10011010010101101000101…
…01111111000011000100101
312120012201002000222022121100
421221112202233320120211
521030034100321141201
6230121212305110313
711636020205611614
oct1151264257703045
9176181060868540
1042424122443301
1112576a73140a05
1249120b4928399
131a89767c37551
14a694a4b1b87b
154d883721d886
hex2695a2bf8625

42424122443301 has 24 divisors (see below), whose sum is σ = 63797614913240. Its totient is φ = 27141385982976.

The previous prime is 42424122443291. The next prime is 42424122443341. The reversal of 42424122443301 is 10334422142424.

42424122443301 is a `hidden beast` number, since 4 + 2 + 42 + 41 + 2 + 244 + 330 + 1 = 666.

42424122443301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4480308822276 + 37943813621025 = 2116674^2 + 6159855^2 .

It is not a de Polignac number, because 42424122443301 - 29 = 42424122442789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42424122443341) 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 23 ways as a sum of consecutive naturals, for example, 872576836 + ... + 872625453.

Almost surely, 242424122443301 is an apocalyptic number.

It is an amenable number.

42424122443301 is a deficient number, since it is larger than the sum of its proper divisors (21373492469939).

42424122443301 is a wasteful number, since it uses less digits than its factorization.

42424122443301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745202405 (or 1745202402 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42424122443301 its reverse (10334422142424), we get a palindrome (52758544585725).

The spelling of 42424122443301 in words is "forty-two trillion, four hundred twenty-four billion, one hundred twenty-two million, four hundred forty-three thousand, three hundred one".

Divisors: 1 3 9 37 73 111 219 333 657 2701 8103 24309 1745202289 5235606867 15706820601 64572484693 127399767097 193717454079 382199301291 581152362237 1146597903873 4713791382589 14141374147767 42424122443301