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3143361312 = 2532713315373
BaseRepresentation
bin1011101101011011…
…1110001100100000
322010001210022002100
42323112332030200
522414200030222
61235525050400
7140616062460
oct27326761440
98101708070
103143361312
111373388973
12738856a00
133b12ca810
1421b683ba0
15135e614ac
hexbb5be320

3143361312 has 576 divisors, whose sum is σ = 11729442816. Its totient is φ = 776355840.

The previous prime is 3143361253. The next prime is 3143361367. The reversal of 3143361312 is 2131633413.

3143361312 is a `hidden beast` number, since 3 + 1 + 4 + 33 + 613 + 12 = 666.

It is a super-3 number, since 3×31433613123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 43059708 + ... + 43059780.

It is an arithmetic number, because the mean of its divisors is an integer number (20363616).

Almost surely, 23143361312 is an apocalyptic number.

3143361312 is a gapful number since it is divisible by the number (32) 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 3143361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864721408).

3143361312 is an abundant number, since it is smaller than the sum of its proper divisors (8586081504).

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

3143361312 is a wasteful number, since it uses less digits than its factorization.

3143361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3143361312 is about 56065.6874746043. The cubic root of 3143361312 is about 1464.8666820250.

Adding to 3143361312 its reverse (2131633413), we get a palindrome (5274994725).

The spelling of 3143361312 in words is "three billion, one hundred forty-three million, three hundred sixty-one thousand, three hundred twelve".