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2144030024304 = 2432713717778737
BaseRepresentation
bin11111001100110010001…
…001011110001001110000
321120222010010202011202200
4133030302021132021300
5240111433141234204
64320542004143200
7310621030340250
oct37146211361160
97528103664680
102144030024304
11757307065923
122a763b397b00
1312724802ab1c
1475ab3409960
153ab87905539
hex1f33225e270

2144030024304 has 240 divisors, whose sum is σ = 6912225797568. Its totient is φ = 607696846848.

The previous prime is 2144030024303. The next prime is 2144030024309. The reversal of 2144030024304 is 4034200304412.

It is a happy number.

2144030024304 is a `hidden beast` number, since 2 + 14 + 40 + 300 + 2 + 4 + 304 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144030024303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245392224 + ... + 245400960.

Almost surely, 22144030024304 is an apocalyptic number.

2144030024304 is a gapful number since it is divisible by the number (24) 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 2144030024304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456112898784).

2144030024304 is an abundant number, since it is smaller than the sum of its proper divisors (4768195773264).

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

2144030024304 is a wasteful number, since it uses less digits than its factorization.

2144030024304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672 (or 10663 counting only the distinct ones).

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

Adding to 2144030024304 its reverse (4034200304412), we get a palindrome (6178230328716).

The spelling of 2144030024304 in words is "two trillion, one hundred forty-four billion, thirty million, twenty-four thousand, three hundred four".