Search a number
-
+
14431244212 = 227211149167269
BaseRepresentation
bin11010111000010101…
…10100111110110100
31101020201221011102101
431130022310332310
5214023344303322
610343555351444
71020422360200
oct153412647664
941221834371
1014431244212
116136074410
122968bb2584
13148ca6c878
149ac891b00
15596e19327
hex35c2b4fb4

14431244212 has 144 divisors (see below), whose sum is σ = 32577552000. Its totient is φ = 5530748160.

The previous prime is 14431244209. The next prime is 14431244227. The reversal of 14431244212 is 21244213441.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 53647614 + ... + 53647882.

It is an arithmetic number, because the mean of its divisors is an integer number (226233000).

Almost surely, 214431244212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431244212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288776000).

14431244212 is an abundant number, since it is smaller than the sum of its proper divisors (18146307788).

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

14431244212 is a wasteful number, since it uses less digits than its factorization.

14431244212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 605 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 14431244212 its reverse (21244213441), we get a palindrome (35675457653).

The spelling of 14431244212 in words is "fourteen billion, four hundred thirty-one million, two hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 149 154 167 196 269 298 308 334 538 539 596 668 1043 1076 1078 1169 1639 1837 1883 2086 2156 2338 2959 3278 3674 3766 4172 4676 5918 6556 7301 7348 7532 8183 11473 11836 12859 13181 14602 16366 20713 22946 24883 25718 26362 29204 32732 40081 41426 44923 45892 49766 51436 52724 80162 80311 82852 89846 90013 99532 144991 160324 160622 174181 179692 180026 273713 280567 289982 314461 321244 348362 360052 440891 494153 547426 561134 579964 628922 696724 881782 988306 1094852 1122268 1219267 1257844 1763564 1915991 1963969 1976612 2201227 2438534 3086237 3459071 3831982 3927938 4402454 4877068 6172474 6693527 6918142 7663964 7855876 8804908 12344948 13387054 13411937 13836284 21603659 24213497 26774108 26823874 43207318 46854689 48426994 53647748 73628797 86414636 93709378 96853988 147257594 187418756 294515188 327982823 515401579 655965646 1030803158 1311931292 2061606316 3607811053 7215622106 14431244212