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42501406243221 = 3213881133402013
BaseRepresentation
bin10011010100111101000010…
…01110001011100110010101
312120111002120002002010120100
421222132201032023212111
521032320334444240341
6230220513153124313
711644424316225552
oct1152364116134625
9176432502063510
1042501406243221
11125a68218a6732
124925082b59699
131a93b33402c83
14a6d116c47a29
154da85c0073b6
hex26a7a138b995

42501406243221 has 12 divisors (see below), whose sum is σ = 61390982400748. Its totient is φ = 28334242088064.

The previous prime is 42501406243169. The next prime is 42501406243253. The reversal of 42501406243221 is 12234260410524.

42501406243221 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 1 + 4 + 0 + 624 + 3 + 2 + 21 = 666.

42501406243221 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 2 ways, for example, as 17990441012196 + 24510965231025 = 4241514^2 + 4950855^2 .

It is not a de Polignac number, because 42501406243221 - 26 = 42501406243157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42501406243321) 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, 10792011 + ... + 14194023.

Almost surely, 242501406243221 is an apocalyptic number.

It is an amenable number.

42501406243221 is a deficient number, since it is larger than the sum of its proper divisors (18889576157527).

42501406243221 is a wasteful number, since it uses less digits than its factorization.

42501406243221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790132 (or 4790129 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 42501406243221 its reverse (12234260410524), we get a palindrome (54735666653745).

The spelling of 42501406243221 in words is "forty-two trillion, five hundred one billion, four hundred six million, two hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 1388113 3402013 4164339 10206039 12493017 30618117 4722378471469 14167135414407 42501406243221