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14434463043 = 327112131131289
BaseRepresentation
bin11010111000101110…
…00110110101000011
31101020221222200211100
431130113012311003
5214030210304133
610344152345443
71020461624430
oct153427066503
941227880740
1014434463043
116137972800
12296a0a5283
1314906289c0
149ad08cb87
15597352e13
hex35c5c6d43

14434463043 has 144 divisors (see below), whose sum is σ = 28477874880. Its totient is φ = 6855045120.

The previous prime is 14434462997. The next prime is 14434463063. The reversal of 14434463043 is 34036443441.

14434463043 is a `hidden beast` number, since 1 + 4 + 4 + 344 + 6 + 304 + 3 = 666.

It is not a de Polignac number, because 14434463043 - 29 = 14434462531 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14434462989 and 14434463007.

It is not an unprimeable number, because it can be changed into a prime (14434463063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11197543 + ... + 11198831.

It is an arithmetic number, because the mean of its divisors is an integer number (197763020).

Almost surely, 214434463043 is an apocalyptic number.

14434463043 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14434463043 is a deficient number, since it is larger than the sum of its proper divisors (14043411837).

14434463043 is a wasteful number, since it uses less digits than its factorization.

14434463043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 14434463043 in words is "fourteen billion, four hundred thirty-four million, four hundred sixty-three thousand, forty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 113 117 121 143 231 273 339 363 429 693 791 819 847 1001 1017 1089 1243 1287 1289 1469 1573 2373 2541 3003 3729 3867 4407 4719 7119 7623 8701 9009 9023 10283 11011 11187 11601 13221 13673 14157 14179 16159 16757 26103 27069 30849 33033 41019 42537 48477 50271 78309 81207 92547 95711 99099 99253 113113 117299 123057 127611 145431 145657 150813 155969 177749 184327 287133 297759 339339 351897 436971 467907 533247 552981 861399 893277 1018017 1019599 1055691 1091783 1244243 1290289 1310913 1403721 1599741 1602227 1658943 1893541 2027597 3058797 3275349 3732729 3870867 4806681 5680623 6082791 9176391 9826047 11198187 11215589 11612601 13254787 14193179 14420043 17041869 17624497 18248373 20828951 33646767 39764361 42579537 52873491 62486853 100940301 119293083 123371479 127738611 145802657 158620473 187460559 229118461 370114437 437407971 687355383 1110343311 1312223913 1603829227 2062066149 4811487681 14434463043