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4141424430 = 23351113237223
BaseRepresentation
bin1111011011011001…
…0001111100101110
3101200121211011022000
43312312101330232
531440201040210
61522541033130
7204425345463
oct36666217456
911617734260
104141424430
1118357a9520
12976b557a6
1351000a200
142b404966a
151938adac0
hexf6d91f2e

4141424430 has 384 divisors, whose sum is σ = 13458493440. Its totient is φ = 897661440.

The previous prime is 4141424429. The next prime is 4141424453. The reversal of 4141424430 is 344241414.

4141424430 is a `hidden beast` number, since 4 + 1 + 414 + 244 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4141424394 and 4141424403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18571299 + ... + 18571521.

It is an arithmetic number, because the mean of its divisors is an integer number (35048160).

Almost surely, 24141424430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141424430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729246720).

4141424430 is an abundant number, since it is smaller than the sum of its proper divisors (9317069010).

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

4141424430 is a wasteful number, since it uses less digits than its factorization.

4141424430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4141424430 is about 64353.8998818253. The cubic root of 4141424430 is about 1605.8929086941.

Adding to 4141424430 its reverse (344241414), we get a palindrome (4485665844).

The spelling of 4141424430 in words is "four billion, one hundred forty-one million, four hundred twenty-four thousand, four hundred thirty".