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134032343230431 = 32174335291577279
BaseRepresentation
bin11110011110011011010110…
…001101001110011111011111
3122120120100220110012022221100
4132132123112031032133133
5120031441214331333211
61153021335231404143
740142342261506212
oct3636332615163737
9576510813168840
10134032343230431
11397858855a05a8
1213048448683653
1359a3271045b99
1425152b2c29779
15107674ec3d156
hex79e6d634e7df

134032343230431 has 48 divisors (see below), whose sum is σ = 209764173864960. Its totient is φ = 82140470979840.

The previous prime is 134032343230393. The next prime is 134032343230441.

134032343230431 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 3 + 2 + 343 + 2 + 304 + 3 + 1 = 666.

134032343230431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134032343230431 - 29 = 134032343229919 is a prime.

It is a super-2 number, since 2×1340323432304312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134032343230441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231890850 + ... + 232468128.

It is an arithmetic number, because the mean of its divisors is an integer number (4370086955520).

Almost surely, 2134032343230431 is an apocalyptic number.

134032343230431 is a deficient number, since it is larger than the sum of its proper divisors (75731830634529).

134032343230431 is a wasteful number, since it uses less digits than its factorization.

134032343230431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612636 (or 612633 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 134032343230431 in words is "one hundred thirty-four trillion, thirty-two billion, three hundred forty-three million, two hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 17 43 51 129 153 387 731 2193 6579 35291 105873 317619 577279 599947 1517513 1731837 1799841 4552539 5195511 5399523 9813743 13657617 24822997 25797721 29441229 74468991 77393163 88323687 223406973 232179489 421990949 1265972847 3797918541 20372753189 61118259567 183354778701 346336804213 876028387127 1039010412639 2628085161381 3117031237917 7884255484143 14892482581159 44677447743477 134032343230431