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14112441222000 = 24353111638811489
BaseRepresentation
bin1100110101011100111100…
…0010111100001101110000
31211222010200021220212011020
43031113033002330031300
53322204234423101000
650003055504415440
72654406310102242
oct315271702741560
954863607825136
1014112441222000
114551064182a40
1216bb104017580
137b4a4a1405c4
1436b08d962092
1519716c4b0ba0
hexcd5cf0bc370

14112441222000 has 640 divisors, whose sum is σ = 50029507906560. Its totient is φ = 3394068480000.

The previous prime is 14112441221987. The next prime is 14112441222017. The reversal of 14112441222000 is 22214421141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9477797256 + ... + 9477798744.

It is an arithmetic number, because the mean of its divisors is an integer number (78171106104).

Almost surely, 214112441222000 is an apocalyptic number.

14112441222000 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 14112441222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25014753953280).

14112441222000 is an abundant number, since it is smaller than the sum of its proper divisors (35917066684560).

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

14112441222000 is a wasteful number, since it uses less digits than its factorization.

14112441222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14112441222000 its reverse (22214421141), we get a palindrome (14134655643141).

The spelling of 14112441222000 in words is "fourteen trillion, one hundred twelve billion, four hundred forty-one million, two hundred twenty-two thousand".