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134331313231413 = 321771293313134839
BaseRepresentation
bin11110100010110001110010…
…001101010001011000110101
3122121121221121011222222122200
4132202301302031101120311
5120101341012141401123
61153410541532215113
740203055111545144
oct3642616215213065
9577557534888580
10134331313231413
1139890654344341
121309638500a499
1359c5508662bcc
14252595525175b
15107e3ebc92143
hex7a2c72351635

134331313231413 has 96 divisors (see below), whose sum is σ = 209722041285120. Its totient is φ = 82550369341440.

The previous prime is 134331313231399. The next prime is 134331313231433. The reversal of 134331313231413 is 314132313133431.

134331313231413 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 1 + 3 + 1 + 3 + 231 + 413 = 666.

It is not a de Polignac number, because 134331313231413 - 29 = 134331313230901 is a prime.

It is a super-3 number, since 3×1343313132314133 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134331313231433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 996167448 + ... + 996302286.

It is an arithmetic number, because the mean of its divisors is an integer number (2184604596720).

Almost surely, 2134331313231413 is an apocalyptic number.

It is an amenable number.

134331313231413 is a deficient number, since it is larger than the sum of its proper divisors (75390728053707).

134331313231413 is a wasteful number, since it uses less digits than its factorization.

134331313231413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135539 (or 135536 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

Adding to 134331313231413 its reverse (314132313133431), we get a palindrome (448463626364844).

The spelling of 134331313231413 in words is "one hundred thirty-four trillion, three hundred thirty-one billion, three hundred thirteen million, two hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 71 153 213 293 313 639 879 939 1207 2637 2817 3621 4981 5321 10863 14943 15963 20803 22223 44829 47889 62409 66669 91709 134839 187227 200007 275127 353651 377791 404517 825381 1060953 1133373 1213551 1559053 2292263 3182859 3400119 4677159 6511339 6876789 9573569 14031477 19534017 20630367 28720707 39507827 42204607 58602051 86162121 110692763 118523481 126613821 162750673 332078289 355570443 379841463 488252019 671633059 717478319 996234867 1464756057 2014899177 2152434957 2805055717 2996527097 6044697531 6457304871 8415167151 8989581291 12365949851 25245501453 26968743873 37097849553 47685947189 50940960649 111293548659 143057841567 152822881947 210221147467 429173524701 458468645841 630663442401 877982439421 1891990327203 2633947318263 7901841954789 14925701470157 44777104410471 134331313231413