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2144331421200 = 24325229147113963
BaseRepresentation
bin11111001101000100000…
…111001101011000010000
321120222220010212201120200
4133031010013031120100
5240113042320434300
64321031532135200
7310631350225353
oct37150407153020
97528803781520
102144331421200
11757451203871
122a7704307500
131272955c7697
1475b0146429a
153aba40dd200
hex1f3441cd610

2144331421200 has 360 divisors, whose sum is σ = 7703811448320. Its totient is φ = 551688883200.

The previous prime is 2144331421187. The next prime is 2144331421273. The reversal of 2144331421200 is 21241334412.

2144331421200 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 3 + 31 + 421 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×21443314212002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153565419 + ... + 153579381.

Almost surely, 22144331421200 is an apocalyptic number.

2144331421200 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 2144331421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851905724160).

2144331421200 is an abundant number, since it is smaller than the sum of its proper divisors (5559480027120).

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

2144331421200 is a wasteful number, since it uses less digits than its factorization.

2144331421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15487 (or 15473 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2144331421200 its reverse (21241334412), we get a palindrome (2165572755612).

The spelling of 2144331421200 in words is "two trillion, one hundred forty-four billion, three hundred thirty-one million, four hundred twenty-one thousand, two hundred".