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134031324330342 = 23431110711248371
BaseRepresentation
bin11110011110011010011001…
…011110011011100101100110
3122120120021021102221211210000
4132132122121132123211212
5120031432123012032332
61153021050153042130
740142305110140055
oct3636323136334546
9576507242854700
10134031324330342
113978540243890a
12130482033b6346
1359a313ac1c11a
14251521779c39c
1510766e0576b7c
hex79e69979b966

134031324330342 has 80 divisors (see below), whose sum is σ = 301324481213184. Its totient is φ = 44529114798000.

The previous prime is 134031324330341. The next prime is 134031324330383. The reversal of 134031324330342 is 243033423130431.

134031324330342 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 313 + 2 + 4 + 330 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134031324330297 and 134031324330306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134031324330341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539517417 + ... + 539765787.

Almost surely, 2134031324330342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134031324330342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150662240606592).

134031324330342 is an abundant number, since it is smaller than the sum of its proper divisors (167293156882842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134031324330342 is a wasteful number, since it uses less digits than its factorization.

134031324330342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259407 (or 259398 counting only the distinct ones).

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

Adding to 134031324330342 its reverse (243033423130431), we get a palindrome (377064747460773).

The spelling of 134031324330342 in words is "one hundred thirty-four trillion, thirty-one billion, three hundred twenty-four million, three hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 311 622 933 1866 2799 5598 8397 10711 16794 21422 25191 32133 50382 64266 96399 192798 248371 289197 496742 578394 745113 867591 1490226 1735182 2235339 3331121 4470678 6662242 6706017 9993363 13412034 19986726 20118051 29980089 40236102 59960178 77243381 89940267 154486762 179880534 231730143 269820801 463460286 539641602 695190429 1390380858 2085571287 2660301781 4171142574 5320603562 6256713861 7980905343 12513427722 15961810686 23942716029 47885432058 71828148087 143656296174 215484444261 430968888522 827353853891 1654707707782 2482061561673 4964123123346 7446184685019 14892369370038 22338554055057 44677108110114 67015662165171 134031324330342