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14435729430 = 2352320921347
BaseRepresentation
bin11010111000110111…
…11100000000010110
31101021001101000222120
431130123330000112
5214031021320210
610344235440410
71020505450503
oct153433740026
941231330876
1014435729430
116138658201
12296a5b6106
131490980245
149ad2dc4aa
15597503270
hex35c6fc016

14435729430 has 32 divisors (see below), whose sum is σ = 36152089344. Its totient is φ = 3682156896.

The previous prime is 14435729383. The next prime is 14435729431. The reversal of 14435729430 is 3492753441.

It is a happy number.

14435729430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14435729431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10459984 + ... + 10461363.

It is an arithmetic number, because the mean of its divisors is an integer number (1129752792).

Almost surely, 214435729430 is an apocalyptic number.

14435729430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14435729430 is an abundant number, since it is smaller than the sum of its proper divisors (21716359914).

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

14435729430 is a wasteful number, since it uses less digits than its factorization.

14435729430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20921380.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 14435729430 in words is "fourteen billion, four hundred thirty-five million, seven hundred twenty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 20921347 41842694 62764041 104606735 125528082 209213470 313820205 481190981 627640410 962381962 1443572943 2405954905 2887145886 4811909810 7217864715 14435729430