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14244023014020 = 22325294636838629
BaseRepresentation
bin1100111101000111000111…
…1011101001001010000100
31212102201022110021110111200
43033101301323221022010
53331333224342422040
650143340331102500
73000045111633162
oct317216173511204
955381273243450
1014244023014020
1145a19467178a8
1217207065a1a30
137c4289944337
143735b3142232
1519a7be128630
hexcf471ee9284

14244023014020 has 288 divisors, whose sum is σ = 44864080934400. Its totient is φ = 3653724146688.

The previous prime is 14244023013911. The next prime is 14244023014031. The reversal of 14244023014020 is 2041032044241.

14244023014020 is a `hidden beast` number, since 1 + 4 + 24 + 4 + 0 + 230 + 1 + 402 + 0 = 666.

14244023014020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1650711066 + ... + 1650719694.

It is an arithmetic number, because the mean of its divisors is an integer number (155778058800).

Almost surely, 214244023014020 is an apocalyptic number.

14244023014020 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 14244023014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22432040467200).

14244023014020 is an abundant number, since it is smaller than the sum of its proper divisors (30620057920380).

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

14244023014020 is a wasteful number, since it uses less digits than its factorization.

14244023014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9819 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14244023014020 its reverse (2041032044241), we get a palindrome (16285055058261).

The spelling of 14244023014020 in words is "fourteen trillion, two hundred forty-four billion, twenty-three million, fourteen thousand, twenty".