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12143945088 = 273411233457
BaseRepresentation
bin10110100111101010…
…11110010110000000
31011100022222022220000
423103311132112000
5144332322220323
65325010520000
7606636554502
oct132365362600
934308868800
1012143945088
115171a38760
12242ab96000
1311b6c23732
14832babd72
154b1205e43
hex2d3d5e580

12143945088 has 320 divisors, whose sum is σ = 39681504720. Its totient is φ = 3656171520.

The previous prime is 12143945081. The next prime is 12143945131. The reversal of 12143945088 is 88054934121.

12143945088 is a `hidden beast` number, since 12 + 1 + 43 + 94 + 508 + 8 = 666.

12143945088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143945081) 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 39 ways as a sum of consecutive naturals, for example, 26572956 + ... + 26573412.

Almost surely, 212143945088 is an apocalyptic number.

12143945088 is a gapful number since it is divisible by the number (18) 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 12143945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840752360).

12143945088 is an abundant number, since it is smaller than the sum of its proper divisors (27537559632).

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

12143945088 is a wasteful number, since it uses less digits than its factorization.

12143945088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12143945088 in words is "twelve billion, one hundred forty-three million, nine hundred forty-five thousand, eighty-eight".