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4224434243400 = 23325271493224563
BaseRepresentation
bin111101011110010011111…
…001110000011101001000
3112221212000002022120002100
4331132103321300131020
51023203120131242100
612552402302433400
7614130263413260
oct75362371603510
915855002276070
104224434243400
111389632aaa558
12582882592860
13248493384aa7
1410866c5b67a0
1574d495ea400
hex3d793e70748

4224434243400 has 288 divisors, whose sum is σ = 16224713069760. Its totient is φ = 964933931520.

The previous prime is 4224434243347. The next prime is 4224434243411. The reversal of 4224434243400 is 43424344224.

4224434243400 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 4 + 3 + 4 + 243 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18699519 + ... + 18924081.

It is an arithmetic number, because the mean of its divisors is an integer number (56335809270).

Almost surely, 24224434243400 is an apocalyptic number.

4224434243400 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 4224434243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112356534880).

4224434243400 is an abundant number, since it is smaller than the sum of its proper divisors (12000278826360).

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

4224434243400 is a wasteful number, since it uses less digits than its factorization.

4224434243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226085 (or 226073 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4224434243400 its reverse (43424344224), we get a palindrome (4267858587624).

It can be divided in two parts, 42 and 24434243400, that added together give a palindrome (24434243442).

The spelling of 4224434243400 in words is "four trillion, two hundred twenty-four billion, four hundred thirty-four million, two hundred forty-three thousand, four hundred".