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14211356544 = 27327111511061
BaseRepresentation
bin11010011110001000…
…00001011110000000
31100200102011201020200
431033010001132000
5213101101402134
610310102405200
71012112352240
oct151704013600
940612151220
1014211356544
116032a38570
122907430800
131456341318
1498b5b3b20
15582982499
hex34f101780

14211356544 has 384 divisors, whose sum is σ = 51371573760. Its totient is φ = 3663360000.

The previous prime is 14211356519. The next prime is 14211356659. The reversal of 14211356544 is 44565311241.

14211356544 is a `hidden beast` number, since 1 + 42 + 1 + 13 + 565 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 14211356499 and 14211356508.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13393774 + ... + 13394834.

It is an arithmetic number, because the mean of its divisors is an integer number (133780140).

Almost surely, 214211356544 is an apocalyptic number.

14211356544 is a gapful number since it is divisible by the number (14) 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 14211356544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685786880).

14211356544 is an abundant number, since it is smaller than the sum of its proper divisors (37160217216).

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

14211356544 is a wasteful number, since it uses less digits than its factorization.

14211356544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1235 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 14211356544 its reverse (44565311241), we get a palindrome (58776667785).

The spelling of 14211356544 in words is "fourteen billion, two hundred eleven million, three hundred fifty-six thousand, five hundred forty-four".