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300402444204040 = 2357510061105101
BaseRepresentation
bin100010001001101101110010…
…0111110011111100000001000
31110101122012012211201101110111
41010103123210332133200020
5303333243201204012130
62542522551104124104
7120163234415662303
oct10423334476374010
91411565184641414
10300402444204040
1187798a63306562
122983800a906634
13cb80aa1238029
1454277ad483b3a
1524ae254b1102a
hex11136e4f9f808

300402444204040 has 16 divisors (see below), whose sum is σ = 675905499459180. Its totient is φ = 120160977681600.

The previous prime is 300402444204001. The next prime is 300402444204041. The reversal of 300402444204040 is 40402444204003.

It can be written as a sum of positive squares in 2 ways, for example, as 269313634565284 + 31088809638756 = 16410778^2 + 5575734^2 .

It is a super-2 number, since 2×3004024442040402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300402444203993 and 300402444204011.

It is not an unprimeable number, because it can be changed into a prime (300402444204041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3755030552511 + ... + 3755030552590.

Almost surely, 2300402444204040 is an apocalyptic number.

It is an amenable number.

300402444204040 is an abundant number, since it is smaller than the sum of its proper divisors (375503055255140).

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

300402444204040 is a wasteful number, since it uses less digits than its factorization.

300402444204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510061105112 (or 7510061105108 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 300402444204040 its reverse (40402444204003), we get a palindrome (340804888408043).

The spelling of 300402444204040 in words is "three hundred trillion, four hundred two billion, four hundred forty-four million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 7510061105101 15020122210202 30040244420404 37550305525505 60080488840808 75100611051010 150201222102020 300402444204040