Search a number
-
+
8144213712 = 243239709921
BaseRepresentation
bin1111001010110111…
…01101011011010000
3210000120202220220220
413211123231123100
5113134404314322
63424050433040
7405551450205
oct74533553320
923016686826
108144213712
1134aa218338
1216b3592780
139ca39738b
145738c7cac
15329ed555c
hex1e56ed6d0

8144213712 has 40 divisors (see below), whose sum is σ = 21127278720. Its totient is φ = 2703375360.

The previous prime is 8144213699. The next prime is 8144213723. The reversal of 8144213712 is 2173124418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343489 + ... + 366432.

It is an arithmetic number, because the mean of its divisors is an integer number (528181968).

Almost surely, 28144213712 is an apocalyptic number.

It is an amenable number.

8144213712 is an abundant number, since it is smaller than the sum of its proper divisors (12983065008).

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

8144213712 is a wasteful number, since it uses less digits than its factorization.

8144213712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710171 (or 710165 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 8144213712 is about 90245.2974508921. The cubic root of 8144213712 is about 2011.9463100951.

The spelling of 8144213712 in words is "eight billion, one hundred forty-four million, two hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1912 2868 3824 5736 11472 709921 1419842 2129763 2839684 4259526 5679368 8519052 11358736 17038104 34076208 169671119 339342238 509013357 678684476 1018026714 1357368952 2036053428 2714737904 4072106856 8144213712