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14055313536 = 2733112192961
BaseRepresentation
bin11010001011100001…
…10001000010000000
31100021112112220111000
431011300301002000
5212241130013121
610242410052000
71005206123325
oct150560610200
940245486430
1014055313536
115a62949100
12288311a000
13142cc07994
14974994b4c
15573e0c526
hex345c31080

14055313536 has 768 divisors, whose sum is σ = 50465520000. Its totient is φ = 3832012800.

The previous prime is 14055313427. The next prime is 14055313537. The reversal of 14055313536 is 63531355041.

14055313536 is a `hidden beast` number, since 1 + 40 + 55 + 31 + 3 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14055313536.

It is not an unprimeable number, because it can be changed into a prime (14055313537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230414946 + ... + 230415006.

Almost surely, 214055313536 is an apocalyptic number.

14055313536 is a gapful number since it is divisible by the number (16) 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 14055313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232760000).

14055313536 is an abundant number, since it is smaller than the sum of its proper divisors (36410206464).

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

14055313536 is a wasteful number, since it uses less digits than its factorization.

14055313536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 14055313536 its reverse (63531355041), we get a palindrome (77586668577).

The spelling of 14055313536 in words is "fourteen billion, fifty-five million, three hundred thirteen thousand, five hundred thirty-six".