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14020254424000 = 2653118311316987
BaseRepresentation
bin1100110000000101100001…
…0010001101101111000000
31211122022201122012022010101
43030001120102031233000
53314201440113032000
645452452125412144
72644633655203306
oct314013022155700
954568648168111
1014020254424000
114515a5812a180
1216a5276a0a054
137a914825cb16
14366826462276
15194a74173e6a
hexcc05848dbc0

14020254424000 has 448 divisors, whose sum is σ = 38675501609472. Its totient is φ = 4991981568000.

The previous prime is 14020254423979. The next prime is 14020254424003. The reversal of 14020254424000 is 42445202041.

It is a super-2 number, since 2×140202544240002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14020254424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020254424003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 825343507 + ... + 825360493.

It is an arithmetic number, because the mean of its divisors is an integer number (86329244664).

Almost surely, 214020254424000 is an apocalyptic number.

14020254424000 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 14020254424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337750804736).

14020254424000 is an abundant number, since it is smaller than the sum of its proper divisors (24655247185472).

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

14020254424000 is a wasteful number, since it uses less digits than its factorization.

14020254424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17221 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 14020254424000 its reverse (42445202041), we get a palindrome (14062699626041).

The spelling of 14020254424000 in words is "fourteen trillion, twenty billion, two hundred fifty-four million, four hundred twenty-four thousand".