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1312041140 = 225169338749
BaseRepresentation
bin100111000110100…
…0010100010110100
310101102211121002022
41032031002202310
510141340304030
6334105332312
744341110554
oct11615024264
93342747068
101312041140
11613681a23
12307497098
1317ba92907
14c6377164
157a2bcde5
hex4e3428b4

1312041140 has 24 divisors (see below), whose sum is σ = 2756985000. Its totient is φ = 524492928.

The previous prime is 1312041139. The next prime is 1312041151. The reversal of 1312041140 is 411402131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89000356 + 1223040784 = 9434^2 + 34972^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14486 + ... + 53234.

It is an arithmetic number, because the mean of its divisors is an integer number (114874375).

Almost surely, 21312041140 is an apocalyptic number.

1312041140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312041140 is an abundant number, since it is smaller than the sum of its proper divisors (1444943860).

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

1312041140 is a wasteful number, since it uses less digits than its factorization.

1312041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40451 (or 40449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1312041140 is about 36222.1084422208. The cubic root of 1312041140 is about 1094.7521773284.

Adding to 1312041140 its reverse (411402131), we get a palindrome (1723443271).

The spelling of 1312041140 in words is "one billion, three hundred twelve million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1693 3386 6772 8465 16930 33860 38749 77498 154996 193745 387490 774980 65602057 131204114 262408228 328010285 656020570 1312041140