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4095941000 = 23534199901
BaseRepresentation
bin1111010000100011…
…0001100110001000
3101120110020100202112
43310020301212020
531342030103000
61514234121452
7203333631644
oct36410614610
911513210675
104095941000
111812063108
12963880288
13503773838
142abda9c24
1518e8c7235
hexf4231988

4095941000 has 64 divisors (see below), whose sum is σ = 9818368560. Its totient is φ = 1598400000.

The previous prime is 4095940997. The next prime is 4095941009. The reversal of 4095941000 is 1495904.

It can be written as a sum of positive squares in 8 ways, for example, as 174927076 + 3921013924 = 13226^2 + 62618^2 .

It is not an unprimeable number, because it can be changed into a prime (4095941009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8951 + ... + 90950.

Almost surely, 24095941000 is an apocalyptic number.

4095941000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4095941000 is an abundant number, since it is smaller than the sum of its proper divisors (5722427560).

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

4095941000 is a wasteful number, since it uses less digits than its factorization.

4095941000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99963 (or 99949 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 4095941000 is about 63999.5390608401. The cubic root of 4095941000 is about 1599.9923176714.

The spelling of 4095941000 in words is "four billion, ninety-five million, nine hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 99901 199802 399604 499505 799208 999010 1998020 2497525 3996040 4095941 4995050 8191882 9990100 12487625 16383764 19980200 20479705 24975250 32767528 40959410 49950500 81918820 99901000 102398525 163837640 204797050 409594100 511992625 819188200 1023985250 2047970500 4095941000