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21140214443200 = 2652237110775617
BaseRepresentation
bin1001100111010000101101…
…11110001110110011000000
32202211222120220002122122201
410303220112332032303000
510232330124344140300
6112543402550442544
74311221135621026
oct463502676166300
982758526078581
1021140214443200
116810572a24456
122455147063454
13ba468a6b4918
14531298594716
15269d8b07c66a
hex133a16f8ecc0

21140214443200 has 336 divisors, whose sum is σ = 55559470109184. Its totient is φ = 7899875737600.

The previous prime is 21140214443191. The next prime is 21140214443221. The reversal of 21140214443200 is 234441204112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279531792 + ... + 279607408.

Almost surely, 221140214443200 is an apocalyptic number.

21140214443200 is a gapful number since it is divisible by the number (20) 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 21140214443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27779735054592).

21140214443200 is an abundant number, since it is smaller than the sum of its proper divisors (34419255665984).

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

21140214443200 is a wasteful number, since it uses less digits than its factorization.

21140214443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75840 (or 75825 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 21140214443200 its reverse (234441204112), we get a palindrome (21374655647312).

The spelling of 21140214443200 in words is "twenty-one trillion, one hundred forty billion, two hundred fourteen million, four hundred forty-three thousand, two hundred".