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4141000422 = 235132997233
BaseRepresentation
bin1111011011010010…
…1010011011100110
3101200121000121200000
43312310222123212
531440044003142
61522524002130
7204421631346
oct36664523346
911617017600
104141000422
1118355399a9
12976990346
1350cbbc210
142b3d78d26
1519382814c
hexf6d2a6e6

4141000422 has 192 divisors, whose sum is σ = 10517532480. Its totient is φ = 1212309504.

The previous prime is 4141000417. The next prime is 4141000427. The reversal of 4141000422 is 2240001414.

It is an interprime number because it is at equal distance from previous prime (4141000417) and next prime (4141000427).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4141000395 and 4141000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141000427) 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 95 ways as a sum of consecutive naturals, for example, 17772418 + ... + 17772650.

It is an arithmetic number, because the mean of its divisors is an integer number (54778815).

Almost surely, 24141000422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141000422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258766240).

4141000422 is an abundant number, since it is smaller than the sum of its proper divisors (6376532058).

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

4141000422 is a wasteful number, since it uses less digits than its factorization.

4141000422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4141000422 is about 64350.6054516972. The cubic root of 4141000422 is about 1605.8381018927.

Adding to 4141000422 its reverse (2240001414), we get a palindrome (6381001836).

The spelling of 4141000422 in words is "four billion, one hundred forty-one million, four hundred twenty-two", and thus it is an aban number.