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4121141000 = 23534121141
BaseRepresentation
bin1111010110100011…
…1001111100001000
3101122012122122122212
43311220321330020
531420003003000
61520534204252
7204061056224
oct36550717410
911565578585
104121141000
111825305259
129701b3688
13508a57a92
142b1489784
15191c03c35
hexf5a39f08

4121141000 has 32 divisors (see below), whose sum is σ = 9643472280. Its totient is φ = 1648456000.

The previous prime is 4121140999. The next prime is 4121141009. The reversal of 4121141000 is 1411214.

It can be written as a sum of positive squares in 4 ways, for example, as 683195044 + 3437945956 = 26138^2 + 58634^2 .

It is not an unprimeable number, because it can be changed into a prime (4121141009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2059571 + ... + 2061570.

Almost surely, 24121141000 is an apocalyptic number.

4121141000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121141000 is an abundant number, since it is smaller than the sum of its proper divisors (5522331280).

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

4121141000 is a wasteful number, since it uses less digits than its factorization.

4121141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121162 (or 4121148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 4121141000 is about 64196.1135895313. The cubic root of 4121141000 is about 1603.2668928006.

Adding to 4121141000 its reverse (1411214), we get a palindrome (4122552214).

The spelling of 4121141000 in words is "four billion, one hundred twenty-one million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4121141 8242282 16484564 20605705 32969128 41211410 82422820 103028525 164845640 206057050 412114100 515142625 824228200 1030285250 2060570500 4121141000