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312204000040 = 2357805100001
BaseRepresentation
bin1001000101100001100…
…11101111101100101000
31002211212000220110112121
410202300303233230220
520103343211000130
6355231411121024
731361464133362
oct4426063575450
91084760813477
10312204000040
11110450023149
12506105a3174
132359631b2ca
1411179ca3d32
1581c3cc8d7a
hex48b0cefb28

312204000040 has 16 divisors (see below), whose sum is σ = 702459000180. Its totient is φ = 124881600000.

The previous prime is 312204000037. The next prime is 312204000061. The reversal of 312204000040 is 40000402213.

It can be written as a sum of positive squares in 2 ways, for example, as 283937648164 + 28266351876 = 532858^2 + 168126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312203999978 and 312204000023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3902549961 + ... + 3902550040.

Almost surely, 2312204000040 is an apocalyptic number.

It is an amenable number.

312204000040 is an abundant number, since it is smaller than the sum of its proper divisors (390255000140).

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

312204000040 is a wasteful number, since it uses less digits than its factorization.

312204000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805100012 (or 7805100008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 312204000040 its reverse (40000402213), we get a palindrome (352204402253).

The spelling of 312204000040 in words is "three hundred twelve billion, two hundred four million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 7805100001 15610200002 31220400004 39025500005 62440800008 78051000010 156102000020 312204000040