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14324804240 = 245493736269
BaseRepresentation
bin11010101011101001…
…10010101010010000
31100222022122110020012
431111310302222100
5213314122213430
610325234134052
71014660553445
oct152564625220
940868573205
1014324804240
116090a8449a
122939421328
1314739b2a36
1499c6a59cc
1558c8e1695
hex355d32a90

14324804240 has 40 divisors (see below), whose sum is σ = 33312834360. Its totient is φ = 5728603136.

The previous prime is 14324804239. The next prime is 14324804261. The reversal of 14324804240 is 4240842341.

It can be written as a sum of positive squares in 4 ways, for example, as 4746658816 + 9578145424 = 68896^2 + 97868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14324804197 and 14324804206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376826 + ... + 413094.

It is an arithmetic number, because the mean of its divisors is an integer number (832820859).

Almost surely, 214324804240 is an apocalyptic number.

14324804240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14324804240 is an abundant number, since it is smaller than the sum of its proper divisors (18988030120).

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

14324804240 is a wasteful number, since it uses less digits than its factorization.

14324804240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41219 (or 41213 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The spelling of 14324804240 in words is "fourteen billion, three hundred twenty-four million, eight hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4937 9874 19748 24685 36269 39496 49370 72538 78992 98740 145076 181345 197480 290152 362690 394960 580304 725380 1450760 2901520 179060053 358120106 716240212 895300265 1432480424 1790600530 2864960848 3581201060 7162402120 14324804240