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14343200242200 = 233852293761167
BaseRepresentation
bin1101000010111000100101…
…0110101111101000011000
31212210012022021201200000000
43100232021112233220120
53334444333230222300
650301101503213000
73010155605313054
oct320561126575030
955705267650000
1014343200242200
11462aa0a679295
1217379848a7160
13800733b59c3b
14378300bcac64
1519d175eddc00
hexd0b895afa18

14343200242200 has 1728 divisors, whose sum is σ = 54337294065600. Its totient is φ = 3513084825600.

The previous prime is 14343200242183. The next prime is 14343200242201. The reversal of 14343200242200 is 224200234341.

14343200242200 is a `hidden beast` number, since 1 + 4 + 3 + 432 + 0 + 0 + 2 + 4 + 220 + 0 = 666.

It is a super-2 number, since 2×143432002422002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14343200242201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 85887426517 + ... + 85887426683.

It is an arithmetic number, because the mean of its divisors is an integer number (31445193325).

Almost surely, 214343200242200 is an apocalyptic number.

14343200242200 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 14343200242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27168647032800).

14343200242200 is an abundant number, since it is smaller than the sum of its proper divisors (39994093823400).

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

14343200242200 is a wasteful number, since it uses less digits than its factorization.

14343200242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14343200242200 its reverse (224200234341), we get a palindrome (14567400476541).

The spelling of 14343200242200 in words is "fourteen trillion, three hundred forty-three billion, two hundred million, two hundred forty-two thousand, two hundred".