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87414465141 = 338397402133
BaseRepresentation
bin101000101101001001…
…1101110001001110101
322100122001201221002000
41101122103232021311
52413011100341031
6104054015205513
76213132460023
oct1213223561165
9270561657060
1087414465141
1134088206523
1214b36b16899
1383212753b3
144333783713
1524193a73e6
hex145a4ee275

87414465141 has 32 divisors (see below), whose sum is σ = 132414683520. Its totient is φ = 56980495872.

The previous prime is 87414465121. The next prime is 87414465169. The reversal of 87414465141 is 14156441478.

87414465141 is a `hidden beast` number, since 8 + 7 + 41 + 4 + 465 + 141 = 666.

It is not a de Polignac number, because 87414465141 - 25 = 87414465109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87414465101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16311 + ... + 418443.

It is an arithmetic number, because the mean of its divisors is an integer number (4137958860).

Almost surely, 287414465141 is an apocalyptic number.

It is an amenable number.

87414465141 is a deficient number, since it is larger than the sum of its proper divisors (45000218379).

87414465141 is a wasteful number, since it uses less digits than its factorization.

87414465141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402322 (or 402316 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 87414465141 in words is "eighty-seven billion, four hundred fourteen million, four hundred sixty-five thousand, one hundred forty-one".

Divisors: 1 3 9 27 83 97 249 291 747 873 2241 2619 8051 24153 72459 217377 402133 1206399 3619197 10857591 33377039 39006901 100131117 117020703 300393351 351062109 901180053 1053186327 3237572783 9712718349 29138155047 87414465141