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14574000300 = 22352377011873
BaseRepresentation
bin11011001001010110…
…11001100010101100
31101121200112220221220
431210223121202230
5214321421002200
610410055223340
71024104646536
oct154453314254
941550486856
1014574000300
1161a9709152
1229a8977b50
1314b3503522
149c3812856
155a47174a0
hex364ad98ac

14574000300 has 144 divisors (see below), whose sum is σ = 43392035232. Its totient is φ = 3773952000.

The previous prime is 14574000299. The next prime is 14574000307. The reversal of 14574000300 is 300047541.

14574000300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14574000307) 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 47 ways as a sum of consecutive naturals, for example, 7780164 + ... + 7782036.

It is an arithmetic number, because the mean of its divisors is an integer number (301333578).

Almost surely, 214574000300 is an apocalyptic number.

14574000300 is a gapful number since it is divisible by the number (10) 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 14574000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21696017616).

14574000300 is an abundant number, since it is smaller than the sum of its proper divisors (28818034932).

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

14574000300 is a wasteful number, since it uses less digits than its factorization.

14574000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 14574000300 its reverse (300047541), we get a palindrome (14874047841).

The spelling of 14574000300 in words is "fourteen billion, five hundred seventy-four million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 701 740 925 1110 1402 1850 1873 2103 2220 2775 2804 3505 3700 3746 4206 5550 5619 7010 7492 8412 9365 10515 11100 11238 14020 17525 18730 21030 22476 25937 28095 35050 37460 42060 46825 51874 52575 56190 69301 70100 77811 93650 103748 105150 112380 129685 138602 140475 155622 187300 207903 210300 259370 277204 280950 311244 346505 389055 415806 518740 561900 648425 693010 778110 831612 1039515 1296850 1312973 1386020 1556220 1732525 1945275 2079030 2593700 2625946 3465050 3890550 3938919 4158060 5197575 5251892 6564865 6930100 7781100 7877838 10395150 13129730 15755676 19694595 20790300 26259460 32824325 39389190 48580001 65648650 78778380 97160002 98472975 131297300 145740003 194320004 196945950 242900005 291480006 393891900 485800010 582960012 728700015 971600020 1214500025 1457400030 2429000050 2914800060 3643500075 4858000100 7287000150 14574000300