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14023044240000 = 27354198873467
BaseRepresentation
bin1100110000001111111010…
…0100100001001010000000
31211122120221001201122012220
43030003332210201022000
53314223143311140000
645454033025051040
72645063052224535
oct314037644411200
954576831648186
1014023044240000
114517159991234
1216a5915186a80
137a94a1232813
14366a0cb94d8c
15194b8904b1a0
hexcc0fe921280

14023044240000 has 640 divisors, whose sum is σ = 49065164121600. Its totient is φ = 3537649152000.

The previous prime is 14023044239969. The next prime is 14023044240061. The reversal of 14023044240000 is 4244032041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4044718267 + ... + 4044721733.

It is an arithmetic number, because the mean of its divisors is an integer number (76664318940).

Almost surely, 214023044240000 is an apocalyptic number.

14023044240000 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 14023044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24532582060800).

14023044240000 is an abundant number, since it is smaller than the sum of its proper divisors (35042119881600).

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

14023044240000 is an equidigital number, since it uses as much as digits as its factorization.

14023044240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14023044240000 its reverse (4244032041), we get a palindrome (14027288272041).

The spelling of 14023044240000 in words is "fourteen trillion, twenty-three billion, forty-four million, two hundred forty thousand".