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134427713121 = 321328312133347
BaseRepresentation
bin111110100110010000…
…1000001111001100001
3110211222111110101011200
41331030201001321201
54200301443304441
6141431044231413
712466146464652
oct1751441017141
9424874411150
10134427713121
1152012a37579
122207769b569
13c8a42bb920
146713559529
15376b9237b6
hex1f4c841e61

134427713121 has 48 divisors (see below), whose sum is σ = 210084428736. Its totient is φ = 82339867008.

The previous prime is 134427713099. The next prime is 134427713171. The reversal of 134427713121 is 121317724431.

134427713121 is a `hidden beast` number, since 13 + 442 + 77 + 13 + 121 = 666.

It is not a de Polignac number, because 134427713121 - 214 = 134427696737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134427713171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40161970 + ... + 40165316.

It is an arithmetic number, because the mean of its divisors is an integer number (4376758932).

Almost surely, 2134427713121 is an apocalyptic number.

It is an amenable number.

134427713121 is a deficient number, since it is larger than the sum of its proper divisors (75656715615).

134427713121 is a wasteful number, since it uses less digits than its factorization.

134427713121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4859 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 134427713121 in words is "one hundred thirty-four billion, four hundred twenty-seven million, seven hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 283 849 1213 2547 3347 3639 3679 10041 10917 11037 15769 30123 33111 43511 47307 130533 141921 343279 391599 947201 1029837 2841603 3089511 4059911 4462627 8524809 12179733 12313613 13387881 36539199 36940839 40163643 52778843 110822517 158336529 475009587 1148954813 3446864439 10340593317 14936412569 44809237707 134427713121