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14434534200 = 2335224057557
BaseRepresentation
bin11010111000101110…
…11000001100111000
31101020222010022102210
431130113120030320
5214030220043300
610344154055120
71020462342042
oct153427301470
941228108383
1014434534200
116137a11209
12296a11a4a0
1314906521c8
149ad0aaa92
15597369050
hex35c5d8338

14434534200 has 48 divisors (see below), whose sum is σ = 44747057880. Its totient is φ = 3849208960.

The previous prime is 14434534187. The next prime is 14434534201. The reversal of 14434534200 is 243543441.

14434534200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434534201) 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 11 ways as a sum of consecutive naturals, for example, 12028179 + ... + 12029378.

Almost surely, 214434534200 is an apocalyptic number.

14434534200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434534200 is an abundant number, since it is smaller than the sum of its proper divisors (30312523680).

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

14434534200 is a wasteful number, since it uses less digits than its factorization.

14434534200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24057576 (or 24057567 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 14434534200 in words is "fourteen billion, four hundred thirty-four million, five hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 24057557 48115114 72172671 96230228 120287785 144345342 192460456 240575570 288690684 360863355 481151140 577381368 601438925 721726710 962302280 1202877850 1443453420 1804316775 2405755700 2886906840 3608633550 4811511400 7217267100 14434534200