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14363425440 = 2534571319641
BaseRepresentation
bin11010110000010000…
…00111101010100000
31101002000022121120000
431120020013222200
5213404014103230
610333134020000
71015640046630
oct153010075240
941060277500
1014363425440
116100863141
12294a347600
13147b9b5b10
149a387a6c0
15590ebeb60
hex358207aa0

14363425440 has 960 divisors, whose sum is σ = 65774903040. Its totient is φ = 2866544640.

The previous prime is 14363425423. The next prime is 14363425471. The reversal of 14363425440 is 4452436341.

14363425440 is a `hidden beast` number, since 1 + 4 + 363 + 4 + 254 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14363425395 and 14363425404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22407520 + ... + 22408160.

It is an arithmetic number, because the mean of its divisors is an integer number (68515524).

Almost surely, 214363425440 is an apocalyptic number.

14363425440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14363425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32887451520).

14363425440 is an abundant number, since it is smaller than the sum of its proper divisors (51411477600).

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

14363425440 is a wasteful number, since it uses less digits than its factorization.

14363425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 14363425440 in words is "fourteen billion, three hundred sixty-three million, four hundred twenty-five thousand, four hundred forty".