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132124024144134 = 2321119113310802539
BaseRepresentation
bin11110000010101010000101…
…100001101000000100000110
3122022210221012102011110012200
4132002222011201220010012
5114304210000140103014
61145000534434455330
736554434326064551
oct3602520541500406
9568727172143180
10132124024144134
113910a536188190
121299a630434546
13589531b929a99
14248aba05d1698
151041cb0970a09
hex782a85868106

132124024144134 has 96 divisors (see below), whose sum is σ = 331638742281600. Its totient is φ = 37594674996480.

The previous prime is 132124024144117. The next prime is 132124024144157. The reversal of 132124024144134 is 431441420421231.

132124024144134 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 240 + 241 + 44 + 134 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154976164 + ... + 155826375.

It is an arithmetic number, because the mean of its divisors is an integer number (3454570232100).

Almost surely, 2132124024144134 is an apocalyptic number.

132124024144134 is an abundant number, since it is smaller than the sum of its proper divisors (199514718137466).

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

132124024144134 is a wasteful number, since it uses less digits than its factorization.

132124024144134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310802690 (or 310802687 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 132124024144134 its reverse (431441420421231), we get a palindrome (563565444565365).

The spelling of 132124024144134 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, twenty-four million, one hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 113 114 171 198 209 226 339 342 418 627 678 1017 1243 1254 1881 2034 2147 2486 3729 3762 4294 6441 7458 11187 12882 19323 22374 23617 38646 47234 70851 141702 212553 425106 310802539 621605078 932407617 1864815234 2797222851 3418827929 5594445702 5905248241 6837655858 10256483787 11810496482 17715744723 20512967574 30769451361 35120686907 35431489446 53147234169 61538902722 64957730651 70241373814 105362060721 106294468338 129915461302 194873191953 210724121442 316086182163 386327555977 389746383906 584619575859 632172364326 667293051233 772655111954 1158982667931 1169239151718 1334586102466 2001879153699 2317965335862 3476948003793 4003758307398 6005637461097 6953896007586 7340223563563 12011274922194 14680447127126 22020670690689 44041341381378 66062012072067 132124024144134