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14243222133144 = 23332341531319371
BaseRepresentation
bin1100111101000100001000…
…1100100001100110011000
31212102122020122021111111000
43033101002030201212120
53331330104331230034
650143125041305000
73000016215360414
oct317210214414630
955378218244430
1014243222133144
1145a1575635184
121720522335160
137c418ca43524
14373538a27d44
1519a773b7a599
hexcf442321998

14243222133144 has 256 divisors, whose sum is σ = 43089634022400. Its totient is φ = 4346954726400.

The previous prime is 14243222133143. The next prime is 14243222133209. The reversal of 14243222133144 is 44133122234241.

14243222133144 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 322 + 2 + 13 + 314 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14243222133099 and 14243222133108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14243222133143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10135779 + ... + 11455149.

It is an arithmetic number, because the mean of its divisors is an integer number (168318882900).

Almost surely, 214243222133144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14243222133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544817011200).

14243222133144 is an abundant number, since it is smaller than the sum of its proper divisors (28846411889256).

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

14243222133144 is a wasteful number, since it uses less digits than its factorization.

14243222133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319503 (or 1319493 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 14243222133144 its reverse (44133122234241), we get a palindrome (58376344367385).

The spelling of 14243222133144 in words is "fourteen trillion, two hundred forty-three billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred forty-four".