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141323316849 = 321113109808327
BaseRepresentation
bin1000001110011110000…
…1101010111001110001
3111111210001202100012100
42003213201222321301
54303412232114344
6144531213051013
713132060241631
oct2034741527161
9444701670170
10141323316849
1154a31367730
1223480a86a69
1310432aa2010
146ba929c6c1
153a21eba569
hex20e786ae71

141323316849 has 24 divisors (see below), whose sum is σ = 239821388352. Its totient is φ = 79061994720.

The previous prime is 141323316803. The next prime is 141323316877. The reversal of 141323316849 is 948613323141.

141323316849 is a `hidden beast` number, since 1 + 4 + 1 + 323 + 316 + 8 + 4 + 9 = 666.

141323316849 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 141323316849 - 28 = 141323316593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (141323316889) 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 23 ways as a sum of consecutive naturals, for example, 54902877 + ... + 54905450.

It is an arithmetic number, because the mean of its divisors is an integer number (9992557848).

Almost surely, 2141323316849 is an apocalyptic number.

It is an amenable number.

141323316849 is a deficient number, since it is larger than the sum of its proper divisors (98498071503).

141323316849 is a wasteful number, since it uses less digits than its factorization.

141323316849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109808357 (or 109808354 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 141323316849 in words is "one hundred forty-one billion, three hundred twenty-three million, three hundred sixteen thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 109808327 329424981 988274943 1207891597 1427508251 3623674791 4282524753 10871024373 12847574259 15702590761 47107772283 141323316849