Search a number
-
+
14212128930 = 2357143915199
BaseRepresentation
bin11010011110001101…
…11110000010100010
31100200110121221202120
431033012332002202
5213101301111210
610310131125110
71012122050136
oct151706760242
940613557676
1014212128930
1160334158aa
122907743796
131456551a5c
1498b7353c6
15582a86270
hex34f1be0a2

14212128930 has 64 divisors (see below), whose sum is σ = 34670592000. Its totient is φ = 3727765440.

The previous prime is 14212128923. The next prime is 14212128947. The reversal of 14212128930 is 3982121241.

14212128930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14212128891 and 14212128900.

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 31 ways as a sum of consecutive naturals, for example, 927471 + ... + 942669.

It is an arithmetic number, because the mean of its divisors is an integer number (541728000).

Almost surely, 214212128930 is an apocalyptic number.

14212128930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14212128930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335296000).

14212128930 is an abundant number, since it is smaller than the sum of its proper divisors (20458463070).

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

14212128930 is a wasteful number, since it uses less digits than its factorization.

14212128930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719.

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 14212128930 in words is "fourteen billion, two hundred twelve million, one hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 439 710 878 1065 1317 2130 2195 2634 4390 6585 13170 15199 30398 31169 45597 62338 75995 91194 93507 151990 155845 187014 227985 311690 455970 467535 935070 1079129 2158258 3237387 5395645 6474774 6672361 10791290 13344722 16186935 20017083 32373870 33361805 40034166 66723610 100085415 200170830 473737631 947475262 1421212893 2368688155 2842425786 4737376310 7106064465 14212128930