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14404066800 = 2435212003389
BaseRepresentation
bin11010110101000110…
…01001110111110000
31101011211210102000120
431122203021313300
5213444420114200
610341145050240
71016642355564
oct153243116760
941154712016
1014404066800
1161217a1642
12295ba86980
131487245566
149a90196a4
1559484b9a0
hex35a8c9df0

14404066800 has 60 divisors (see below), whose sum is σ = 46141031160. Its totient is φ = 3841084160.

The previous prime is 14404066793. The next prime is 14404066819. The reversal of 14404066800 is 866040441.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6000495 + ... + 6002894.

It is an arithmetic number, because the mean of its divisors is an integer number (769017186).

Almost surely, 214404066800 is an apocalyptic number.

14404066800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404066800 is an abundant number, since it is smaller than the sum of its proper divisors (31736964360).

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

14404066800 is a wasteful number, since it uses less digits than its factorization.

14404066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003410 (or 12003399 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 14404066800 in words is "fourteen billion, four hundred four million, sixty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 12003389 24006778 36010167 48013556 60016945 72020334 96027112 120033890 144040668 180050835 192054224 240067780 288081336 300084725 360101670 480135560 576162672 600169450 720203340 900254175 960271120 1200338900 1440406680 1800508350 2400677800 2880813360 3601016700 4801355600 7202033400 14404066800