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14010004423120 = 245175125055289
BaseRepresentation
bin1100101111011111010101…
…0101100100000111010000
31211121100021022000022021011
43023313311111210013100
53314014442113014440
645444035052340304
72644121653503646
oct313676525440720
954540238008234
1014010004423120
114511678290872
1216a3296174694
137a81a382c744
14366133023196
151946743819ea
hexcbdf55641d0

14010004423120 has 20 divisors (see below), whose sum is σ = 32573260283940. Its totient is φ = 5604001769216.

The previous prime is 14010004423109. The next prime is 14010004423153. The reversal of 14010004423120 is 2132440001041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4917270770064 + 9092733653056 = 2217492^2 + 3015416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 14010004423091 and 14010004423100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87562527565 + ... + 87562527724.

It is an arithmetic number, because the mean of its divisors is an integer number (1628663014197).

Almost surely, 214010004423120 is an apocalyptic number.

14010004423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14010004423120 is an abundant number, since it is smaller than the sum of its proper divisors (18563255860820).

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

14010004423120 is a wasteful number, since it uses less digits than its factorization.

14010004423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175125055302 (or 175125055296 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14010004423120 its reverse (2132440001041), we get a palindrome (16142444424161).

The spelling of 14010004423120 in words is "fourteen trillion, ten billion, four million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 175125055289 350250110578 700500221156 875625276445 1401000442312 1751250552890 2802000884624 3502501105780 7005002211560 14010004423120