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4243211120000 = 27542322710159
BaseRepresentation
bin111101101111110011000…
…101110110110110000000
3120000122110200022201110102
4331233303011312312000
51024010044021320000
613005145420221532
7615363504263606
oct75576305666600
916018420281412
104243211120000
111396599069896
1258644299a8a8
1324a196530268
1410953026d876
1575597cae3d5
hex3dbf3176d80

4243211120000 has 320 divisors, whose sum is σ = 11072125785600. Its totient is φ = 1616178432000.

The previous prime is 4243211119997. The next prime is 4243211120009. The reversal of 4243211120000 is 211123424.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243211120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417674921 + ... + 417685079.

It is an arithmetic number, because the mean of its divisors is an integer number (34600393080).

Almost surely, 24243211120000 is an apocalyptic number.

4243211120000 is a gapful number since it is divisible by the number (40) 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 4243211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536062892800).

4243211120000 is an abundant number, since it is smaller than the sum of its proper divisors (6828914665600).

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

4243211120000 is a wasteful number, since it uses less digits than its factorization.

4243211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10443 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4243211120000 its reverse (211123424), we get a palindrome (4243422243424).

The spelling of 4243211120000 in words is "four trillion, two hundred forty-three billion, two hundred eleven million, one hundred twenty thousand".