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12143304040 = 2357271160033
BaseRepresentation
bin10110100111100110…
…00001110101101000
31011100021202202112111
423103303001311220
5144332141212130
65324545052104
7606631244530
oct132363016550
934307682474
1012143304040
11517164006a
12242a927034
1311b6a5aa0a
14832a824c0
154b112b02a
hex2d3cc1d68

12143304040 has 64 divisors (see below), whose sum is σ = 31341058560. Its totient is φ = 4148029440.

The previous prime is 12143304023. The next prime is 12143304049. The reversal of 12143304040 is 4040334121.

12143304040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12143304049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4137 + ... + 155896.

It is an arithmetic number, because the mean of its divisors is an integer number (489704040).

Almost surely, 212143304040 is an apocalyptic number.

12143304040 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 12143304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15670529280).

12143304040 is an abundant number, since it is smaller than the sum of its proper divisors (19197754520).

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

12143304040 is a wasteful number, since it uses less digits than its factorization.

12143304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160322 (or 160318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12143304040 its reverse (4040334121), we get a palindrome (16183638161).

The spelling of 12143304040 in words is "twelve billion, one hundred forty-three million, three hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 271 280 542 1084 1355 1897 2168 2710 3794 5420 7588 9485 10840 15176 18970 37940 75880 160033 320066 640132 800165 1120231 1280264 1600330 2240462 3200660 4480924 5601155 6401320 8961848 11202310 22404620 43368943 44809240 86737886 173475772 216844715 303582601 346951544 433689430 607165202 867378860 1214330404 1517913005 1734757720 2428660808 3035826010 6071652020 12143304040