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4223140022304 = 2532717831484629
BaseRepresentation
bin111101011101000110110…
…000101100100000100000
3112221201122220000022111200
4331131012300230200200
51023142442321203204
612552030031041200
7614053226622030
oct75350660544040
915851586008450
104223140022304
11138902949a045
12582581070200
132483181c12a8
1410858875b8c0
1574cc0b9c539
hex3d746c2c820

4223140022304 has 288 divisors, whose sum is σ = 14707671189120. Its totient is φ = 1121951195136.

The previous prime is 4223140022293. The next prime is 4223140022333. The reversal of 4223140022304 is 4032200413224.

4223140022304 is a `hidden beast` number, since 4 + 2 + 2 + 31 + 400 + 223 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2102262 + ... + 3586890.

It is an arithmetic number, because the mean of its divisors is an integer number (51068302740).

Almost surely, 24223140022304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223140022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353835594560).

4223140022304 is an abundant number, since it is smaller than the sum of its proper divisors (10484531166816).

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

4223140022304 is a wasteful number, since it uses less digits than its factorization.

4223140022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484752 (or 1484741 counting only the distinct ones).

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

Adding to 4223140022304 its reverse (4032200413224), we get a palindrome (8255340435528).

The spelling of 4223140022304 in words is "four trillion, two hundred twenty-three billion, one hundred forty million, twenty-two thousand, three hundred four".