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42234301052253 = 329941472055137
BaseRepresentation
bin10011001101001011100001…
…00000101111010101011101
312112112120010001112112122200
421212211300200233111131
521013431322032133003
6225454100422002113
711616220231452432
oct1146456040572535
9175476101475580
1042234301052253
1112503514997322
1248a1359b76339
131a748a661050b
14a602187b3b89
154d39276886a3
hex26697082f55d

42234301052253 has 12 divisors (see below), whose sum is σ = 61011238365948. Its totient is φ = 28153368311040.

The previous prime is 42234301052243. The next prime is 42234301052269. The reversal of 42234301052253 is 35225010343224.

42234301052253 is a `hidden beast` number, since 4 + 2 + 2 + 343 + 0 + 10 + 52 + 253 = 666.

42234301052253 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 2363638732569 + 39870662319684 = 1537413^2 + 6314322^2 .

It is not a de Polignac number, because 42234301052253 - 214 = 42234301035869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42234301052243) 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, 235938100 + ... + 236117037.

It is an arithmetic number, because the mean of its divisors is an integer number (5084269863829).

Almost surely, 242234301052253 is an apocalyptic number.

It is an amenable number.

42234301052253 is a deficient number, since it is larger than the sum of its proper divisors (18776937313695).

42234301052253 is a wasteful number, since it uses less digits than its factorization.

42234301052253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472065084 (or 472065081 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 42234301052253 its reverse (35225010343224), we get a palindrome (77459311395477).

The spelling of 42234301052253 in words is "forty-two trillion, two hundred thirty-four billion, three hundred one million, fifty-two thousand, two hundred fifty-three".

Divisors: 1 3 9 9941 29823 89469 472055137 1416165411 4248496233 4692700116917 14078100350751 42234301052253