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42201250304 = 29193427069
BaseRepresentation
bin100111010011011000…
…111111101000000000
311000221002002122020112
4213103120333220000
51142412010002204
631215331130452
73022533465113
oct472330775000
9130832078215
1042201250304
1116996561a74
128219143a28
133c97131035
142084a9257a
15116ed9e26e
hex9d363fa00

42201250304 has 40 divisors (see below), whose sum is σ = 84757166340. Its totient is φ = 20991246336.

The previous prime is 42201250271. The next prime is 42201250307. The reversal of 42201250304 is 40305210224.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33298950400 + 8902299904 = 182480^2 + 94352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42201250304.

It is not an unprimeable number, because it can be changed into a prime (42201250307) 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 3 ways as a sum of consecutive naturals, for example, 114719 + ... + 312350.

Almost surely, 242201250304 is an apocalyptic number.

It is an amenable number.

42201250304 is an abundant number, since it is smaller than the sum of its proper divisors (42555916036).

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

42201250304 is an equidigital number, since it uses as much as digits as its factorization.

42201250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427280 (or 427264 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 42201250304 its reverse (40305210224), we get a palindrome (82506460528).

The spelling of 42201250304 in words is "forty-two billion, two hundred one million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1544 3088 6176 12352 24704 49408 98816 427069 854138 1708276 3416552 6833104 13666208 27332416 54664832 82424317 109329664 164848634 218659328 329697268 659394536 1318789072 2637578144 5275156288 10550312576 21100625152 42201250304