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14232140130204 = 22324347439144549
BaseRepresentation
bin1100111100011010110110…
…1010000010011110011100
31212101120122022112102100200
43033012231222002132130
53331134410333131304
650134053243423500
72666144462040063
oct317065552023634
955346568472320
1014232140130204
1145978a9088367
12171a34ab24b90
137c3114b36c39
14372ba6ccd1da
1519a325cdde39
hexcf1ada8279c

14232140130204 has 144 divisors (see below), whose sum is σ = 37604978611200. Its totient is φ = 4533995652480.

The previous prime is 14232140130191. The next prime is 14232140130211. The reversal of 14232140130204 is 40203104123241.

14232140130204 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 21 + 401 + 30 + 204 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 319449322 + ... + 319493870.

It is an arithmetic number, because the mean of its divisors is an integer number (261145684800).

Almost surely, 214232140130204 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 14232140130204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802489305600).

14232140130204 is an abundant number, since it is smaller than the sum of its proper divisors (23372838480996).

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

14232140130204 is a wasteful number, since it uses less digits than its factorization.

14232140130204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49040 (or 49035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14232140130204 its reverse (40203104123241), we get a palindrome (54435244253445).

The spelling of 14232140130204 in words is "fourteen trillion, two hundred thirty-two billion, one hundred forty million, one hundred thirty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 43 47 86 94 129 141 172 188 258 282 387 423 516 564 774 846 1548 1692 2021 4042 4391 6063 8084 8782 12126 13173 17564 18189 24252 26346 36378 39519 44549 52692 72756 79038 89098 133647 158076 178196 188813 206377 267294 377626 400941 412754 534588 566439 619131 755252 801882 825508 1132878 1238262 1603764 1699317 1857393 1915607 2093803 2265756 2476524 3398634 3714786 3831214 4187606 5746821 6281409 6797268 7429572 7662428 8375212 8874211 11493642 12562818 17240463 17748422 18844227 22987284 25125636 26622633 34480926 35496844 37688454 53245266 68961852 75376908 79867899 90033529 106490532 159735798 180067058 195614659 270100587 319471596 360134116 391229318 540201174 586843977 782458636 810301761 1080402348 1173687954 1620603522 1760531931 2347375908 3241207044 3521063862 7042127724 8411430337 9193888973 16822860674 18387777946 25234291011 27581666919 33645721348 36775555892 50468582022 55163333838 75702873033 82745000757 100937164044 110326667676 151405746066 165490001514 302811492132 330980003028 395337225839 790674451678 1186011677517 1581348903356 2372023355034 3558035032551 4744046710068 7116070065102 14232140130204