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4130040012 = 223749167143
BaseRepresentation
bin1111011000101011…
…0110100011001100
3101122211101202210220
43312022312203030
531424242240022
61521453031340
7204226521660
oct36612664314
911584352726
104130040012
11182a33320a
12973185550
1350a852477
142b27248a0
151928b085c
hexf62b68cc

4130040012 has 24 divisors (see below), whose sum is σ = 11013440256. Its totient is φ = 1180011408.

The previous prime is 4130039987. The next prime is 4130040029. The reversal of 4130040012 is 2100400314.

It is a super-3 number, since 3×41300400123 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4130039973 and 4130040000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24583488 + ... + 24583655.

It is an arithmetic number, because the mean of its divisors is an integer number (458893344).

Almost surely, 24130040012 is an apocalyptic number.

4130040012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4130040012 is an abundant number, since it is smaller than the sum of its proper divisors (6883400244).

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

4130040012 is a wasteful number, since it uses less digits than its factorization.

4130040012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49167157 (or 49167155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4130040012 is about 64265.3873558699. The cubic root of 4130040012 is about 1604.4200713409.

Adding to 4130040012 its reverse (2100400314), we get a palindrome (6230440326).

The spelling of 4130040012 in words is "four billion, one hundred thirty million, forty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 49167143 98334286 147501429 196668572 295002858 344170001 590005716 688340002 1032510003 1376680004 2065020006 4130040012