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4142233000 = 23534396331
BaseRepresentation
bin1111011011100101…
…0111010110101000
3101200200100020110001
43312321113112220
531440402424000
61523010232344
7204435254023
oct36671272650
911620306401
104142233000
111836200a64
129772856b4
13510231259
142b41ba1ba
151939bd46a
hexf6e575a8

4142233000 has 64 divisors (see below), whose sum is σ = 9918342720. Its totient is φ = 1618344000.

The previous prime is 4142232979. The next prime is 4142233019. The reversal of 4142233000 is 3322414.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5166 + ... + 91165.

It is an arithmetic number, because the mean of its divisors is an integer number (154974105).

Almost surely, 24142233000 is an apocalyptic number.

4142233000 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 4142233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959171360).

4142233000 is an abundant number, since it is smaller than the sum of its proper divisors (5776109720).

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

4142233000 is a wasteful number, since it uses less digits than its factorization.

4142233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96395 (or 96381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4142233000 is about 64360.1817896749. The cubic root of 4142233000 is about 1605.9974131833.

Adding to 4142233000 its reverse (3322414), we get a palindrome (4145555414).

The spelling of 4142233000 in words is "four billion, one hundred forty-two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 21500 43000 96331 192662 385324 481655 770648 963310 1926620 2408275 3853240 4142233 4816550 8284466 9633100 12041375 16568932 19266200 20711165 24082750 33137864 41422330 48165500 82844660 96331000 103555825 165689320 207111650 414223300 517779125 828446600 1035558250 2071116500 4142233000