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14221000116540 = 22335717228146327
BaseRepresentation
bin1100111011110001010110…
…1010010000100100111100
31212100111212221122002111000
43032330111222100210330
53330444102012212130
650125012014330300
72665301432346120
oct316742552204474
955314787562430
1014221000116540
1145931019091a8
1217181601b9990
137c205abc8c89
1437242b5b3580
15199dc2ce4260
hexcef15a9093c

14221000116540 has 576 divisors, whose sum is σ = 53905155655680. Its totient is φ = 3048354570240.

The previous prime is 14221000116509. The next prime is 14221000116541. The reversal of 14221000116540 is 4561100012241.

14221000116540 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 1 + 0 + 0 + 0 + 1 + 1 + 654 + 0 = 666.

14221000116540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14221000116541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306946857 + ... + 306993183.

It is an arithmetic number, because the mean of its divisors is an integer number (93585339680).

Almost surely, 214221000116540 is an apocalyptic number.

14221000116540 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 14221000116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26952577827840).

14221000116540 is an abundant number, since it is smaller than the sum of its proper divisors (39684155539140).

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

14221000116540 is a wasteful number, since it uses less digits than its factorization.

14221000116540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46667 (or 46642 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 14221000116540 its reverse (4561100012241), we get a palindrome (18782100128781).

The spelling of 14221000116540 in words is "fourteen trillion, two hundred twenty-one billion, one hundred sixteen thousand, five hundred forty".