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42342366331305 = 3252413904321469
BaseRepresentation
bin10011010000010100110011…
…01101000100000110101001
312112220220001022102111211100
421220022121231010012221
521022214131240100210
6230015451535552013
711630064211253145
oct1150123155040651
9175826038374740
1042342366331305
1112545329a269a7
1248ba29898b609
131a81b3903ab11
14a6554aa52225
154d664e9b55c0
hex268299b441a9

42342366331305 has 24 divisors (see below), whose sum is σ = 73697972067720. Its totient is φ = 22488891655680.

The previous prime is 42342366331297. The next prime is 42342366331327. The reversal of 42342366331305 is 50313366324324.

42342366331305 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 2 + 3 + 6 + 6 + 331 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12073762471824 + 30268603859481 = 3474732^2 + 5501691^2 .

It is not a de Polignac number, because 42342366331305 - 23 = 42342366331297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1952149890 + ... + 1952171579.

It is an arithmetic number, because the mean of its divisors is an integer number (3070748836155).

Almost surely, 242342366331305 is an apocalyptic number.

42342366331305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42342366331305 is a deficient number, since it is larger than the sum of its proper divisors (31355605736415).

42342366331305 is a wasteful number, since it uses less digits than its factorization.

42342366331305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904321721 (or 3904321718 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 45.

The spelling of 42342366331305 in words is "forty-two trillion, three hundred forty-two billion, three hundred sixty-six million, three hundred thirty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 45 241 723 1205 2169 3615 10845 3904321469 11712964407 19521607345 35138893221 58564822035 175694466105 940941474029 2822824422087 4704707370145 8468473266261 14114122110435 42342366331305