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14365460736 = 28321122272
BaseRepresentation
bin11010110000011111…
…11000100100000000
31101002011011000110100
431120033320210000
5213410024220421
610333245402400
71015663254504
oct153017704400
941064130410
1014365460736
116101a23300
12294ab69400
13147c249333
149a3c4a304
15591272c26
hex3583f8900

14365460736 has 243 divisors, whose sum is σ = 45728292883. Its totient is φ = 4333992960.

The previous prime is 14365460657. The next prime is 14365460771. The reversal of 14365460736 is 63706456341.

The square root of 14365460736 is 119856.

It is a perfect power (a square), and thus also a powerful number.

14365460736 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 5 + 4 + 607 + 36 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14365460691 and 14365460700.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63283855 + ... + 63284081.

Almost surely, 214365460736 is an apocalyptic number.

14365460736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14365460736 is the 119856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14365460736

14365460736 is an abundant number, since it is smaller than the sum of its proper divisors (31362832147).

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

14365460736 is an equidigital number, since it uses as much as digits as its factorization.

14365460736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 14365460736 in words is "fourteen billion, three hundred sixty-five million, four hundred sixty thousand, seven hundred thirty-six".