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51441335040000 = 211354671791117
BaseRepresentation
bin10111011001001000111101…
…00000000111100000000000
320202010202002002022122201010
423230210132200013200000
523220303323232240000
6301223453441240520
713556341144211643
oct1354443640074000
9222122062278633
1051441335040000
1115433169614764
125929813033140
132291b87b653a9
14c9bab9823a5a
155e3191ab8d50
hex2ec91e807800

51441335040000 has 960 divisors, whose sum is σ = 175060495209600. Its totient is φ = 13425426432000.

The previous prime is 51441335039999. The next prime is 51441335040049. The reversal of 51441335040000 is 4053314415.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 51441335040000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46053119442 + ... + 46053120558.

It is an arithmetic number, because the mean of its divisors is an integer number (182354682510).

Almost surely, 251441335040000 is an apocalyptic number.

51441335040000 is a gapful number since it is divisible by the number (50) 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 51441335040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87530247604800).

51441335040000 is an abundant number, since it is smaller than the sum of its proper divisors (123619160169600).

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

51441335040000 is a wasteful number, since it uses less digits than its factorization.

51441335040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 51441335040000 its reverse (4053314415), we get a palindrome (51445388354415).

The spelling of 51441335040000 in words is "fifty-one trillion, four hundred forty-one billion, three hundred thirty-five million, forty thousand".