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1312443440 = 245721122767
BaseRepresentation
bin100111000111010…
…0100110000110000
310101110121000221022
41032032210300300
510141441142230
6334122115012
744344404500
oct11616446060
93343530838
101312443440
11613927200
1230764ba68
1317bba3a69
14c643da00
157a34c1e5
hex4e3a4c30

1312443440 has 180 divisors, whose sum is σ = 3903062688. Its totient is φ = 408925440.

The previous prime is 1312443439. The next prime is 1312443443. The reversal of 1312443440 is 443442131.

It is not an unprimeable number, because it can be changed into a prime (1312443443) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 472937 + ... + 475703.

Almost surely, 21312443440 is an apocalyptic number.

1312443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951531344).

1312443440 is an abundant number, since it is smaller than the sum of its proper divisors (2590619248).

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

1312443440 is a wasteful number, since it uses less digits than its factorization.

1312443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1312443440 is about 36227.6612549030. The cubic root of 1312443440 is about 1094.8640574062.

Adding to 1312443440 its reverse (443442131), we get a palindrome (1755885571).

The spelling of 1312443440 in words is "one billion, three hundred twelve million, four hundred forty-three thousand, four hundred forty".