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114111234434313 = 32618317399714519
BaseRepresentation
bin11001111100100010010111…
…100101111110010100001001
3112222000221001010110012221200
4121330202113211332110021
5104424044302003344223
61042405551041454413
733015156523566204
oct3174422745762411
9488027033405850
10114111234434313
11333a5336a67716
121096b631641409
134b8984925669c
14202702839893b
15d2d465d53a43
hex67c89797e509

114111234434313 has 96 divisors (see below), whose sum is σ = 170710696316160. Its totient is φ = 73419416824320.

The previous prime is 114111234434257. The next prime is 114111234434321. The reversal of 114111234434313 is 313434432111411.

114111234434313 is a `hidden beast` number, since 1 + 1 + 41 + 1 + 123 + 443 + 43 + 13 = 666.

It is not a de Polignac number, because 114111234434313 - 221 = 114111232337161 is a prime.

It is a super-2 number, since 2×1141112344343132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114111234434213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7859434468 + ... + 7859448986.

It is an arithmetic number, because the mean of its divisors is an integer number (1778236419960).

Almost surely, 2114111234434313 is an apocalyptic number.

It is an amenable number.

114111234434313 is a deficient number, since it is larger than the sum of its proper divisors (56599461881847).

114111234434313 is a wasteful number, since it uses less digits than its factorization.

114111234434313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15839 (or 15836 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 114111234434313 its reverse (313434432111411), we get a palindrome (427545666545724).

The spelling of 114111234434313 in words is "one hundred fourteen trillion, one hundred eleven billion, two hundred thirty-four million, four hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 9 61 83 173 183 249 519 549 747 997 1557 2991 5063 8973 10553 14359 14519 15189 31659 43077 43557 45567 60817 82751 94977 129231 130671 172481 182451 248253 517443 547353 744759 875899 885659 1205077 1552329 2511787 2627697 2656977 3615231 5047811 7535361 7883091 7970931 10521341 10845693 14315923 14475443 15143433 22606083 31564023 42947769 43426329 45430299 73509697 94692069 128843307 130278987 153219007 208478321 220529091 459657021 625434963 661587273 873271303 883002023 1201461769 1378971063 1876304889 2504251639 2619813909 2649006069 3604385307 7512754917 7859441727 7947018207 10813155921 12717177581 22538264751 38151532743 73289167909 114454598229 152759349979 207852886037 219867503727 458278049937 623558658111 659602511181 1374834149811 1870675974333 12679026048257 38037078144771 114111234434313