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323443113222132 = 2232411518179177433
BaseRepresentation
bin100100110001010110111011…
…1110111100101111111110100
31120102012212012200101100100200
41021202231313313211333310
5314343242443441102012
63103523414232040500
7125061664603145211
oct11142556767457764
91512185180340320
10323443113222132
11940714aa2a6522
1230339538233130
1310b627298b36b7
1459c2a31996b08
15275d76e7c53dc
hex1262b77de5ff4

323443113222132 has 144 divisors (see below), whose sum is σ = 843188000753280. Its totient is φ = 104474800512000.

The previous prime is 323443113222107. The next prime is 323443113222143. The reversal of 323443113222132 is 231222311344323.

It is a happy number.

323443113222132 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 4 + 311 + 322 + 2 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 1822814088 + ... + 1822991520.

Almost surely, 2323443113222132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323443113222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421594000376640).

323443113222132 is an abundant number, since it is smaller than the sum of its proper divisors (519744887531148).

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

323443113222132 is a wasteful number, since it uses less digits than its factorization.

323443113222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185814 (or 185809 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 323443113222132 its reverse (231222311344323), we get a palindrome (554665424566455).

The spelling of 323443113222132 in words is "three hundred twenty-three trillion, four hundred forty-three billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 151 164 246 302 369 453 492 604 738 906 1359 1476 1812 2718 5436 6191 8179 12382 16358 18573 24537 24764 32716 37146 49074 55719 73611 74292 98148 111438 147222 177433 222876 294444 335339 354866 532299 670678 709732 1006017 1064598 1235029 1341356 1596897 2012034 2129196 2470058 3018051 3193794 3705087 4024068 4940116 6036102 6387588 7274753 7410174 11115261 12072204 14549506 14820348 21824259 22230522 26792383 29099012 43648518 44461044 50636189 53584766 65472777 80377149 87297036 101272378 107169532 130945554 151908567 160754298 202544756 241131447 261891108 303817134 321508596 455725701 482262894 607634268 911451402 964525788 1098487703 1451224507 1822902804 2196975406 2902449014 3295463109 4353673521 4393950812 5804898028 6590926218 8707347042 9886389327 13061020563 13181852436 17414694084 19772778654 26122041126 39545557308 52244082252 59500204787 119000409574 178500614361 219134900557 238000819148 357001228722 438269801114 535501843083 657404701671 714002457444 876539602228 1071003686166 1314809403342 1972214105013 2142007372332 2629618806684 3944428210026 7888856420052 8984530922837 17969061845674 26953592768511 35938123691348 53907185537022 80860778305533 107814371074044 161721556611066 323443113222132