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241421110000 = 24547231131327
BaseRepresentation
bin1110000011010111010…
…0011100101011110000
3212002011001102002102121
43200311310130223300
512423412301010000
6302523552124024
723304432401440
oct3406564345360
9762131362377
10241421110000
1193427a17214
123a957536614
13199c5931915
14b9832d8120
15642eac0b1a
hex3835d1caf0

241421110000 has 400 divisors, whose sum is σ = 703747528704. Its totient is φ = 78414336000.

The previous prime is 241421109959. The next prime is 241421110001. The reversal of 241421110000 is 11124142.

It is a happy number.

241421110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241421110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181929337 + ... + 181930663.

Almost surely, 2241421110000 is an apocalyptic number.

241421110000 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 241421110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351873764352).

241421110000 is an abundant number, since it is smaller than the sum of its proper divisors (462326418704).

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

241421110000 is a wasteful number, since it uses less digits than its factorization.

241421110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 241421110000 its reverse (11124142), we get a palindrome (241432234142).

The spelling of 241421110000 in words is "two hundred forty-one billion, four hundred twenty-one million, one hundred ten thousand".