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42340055101253 = 7137140531161683
BaseRepresentation
bin10011010000010000011111…
…11100011010111101000101
312112220200002020102212020022
421220020033330122331011
521022144413101220003
6230014430334144525
711626653015160130
oct1150101774327505
9175820066385208
1042340055101253
1112544353335618
1248b9952952145
131a8185b263280
14a653abadd217
154d6566b26738
hex26820ff1af45

42340055101253 has 32 divisors (see below), whose sum is σ = 52846423160832. Its totient is φ = 33026976158400.

The previous prime is 42340055101103. The next prime is 42340055101261. The reversal of 42340055101253 is 35210155004324.

42340055101253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42340055101253 - 214 = 42340055084869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42340055101273) 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 31 ways as a sum of consecutive naturals, for example, 261789950 + ... + 261951632.

It is an arithmetic number, because the mean of its divisors is an integer number (1651450723776).

Almost surely, 242340055101253 is an apocalyptic number.

It is an amenable number.

42340055101253 is a deficient number, since it is larger than the sum of its proper divisors (10506368059579).

42340055101253 is a wasteful number, since it uses less digits than its factorization.

42340055101253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202305.

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 42340055101253 in words is "forty-two trillion, three hundred forty billion, fifty-five million, one hundred one thousand, two hundred fifty-three".

Divisors: 1 7 13 71 91 497 923 6461 40531 161683 283717 526903 1131781 2101879 2877701 3688321 11479493 14713153 20143907 37410113 80356451 149233409 261870791 1044633863 6553173673 45872215711 85191257749 465275330783 596338804243 3256927315481 6048579300179 42340055101253