Search a number
-
+
14222421214300 = 225213412617101963
BaseRepresentation
bin1100111011110110101001…
…0111010100010001011100
31212100122112222200100010101
43032331222113110101130
53331010004312324200
650125405021350444
72665351566442225
oct316755227242134
955318488610111
1014222421214300
114593770aa7a62
121718498108424
137c2226453720
1437252421824c
15199e5795526a
hexcef6a5d445c

14222421214300 has 144 divisors (see below), whose sum is σ = 34060699788192. Its totient is φ = 5121265766400.

The previous prime is 14222421214283. The next prime is 14222421214381. The reversal of 14222421214300 is 341212422241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139435119 + ... + 139537081.

It is an arithmetic number, because the mean of its divisors is an integer number (236532637418).

Almost surely, 214222421214300 is an apocalyptic number.

14222421214300 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 14222421214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17030349894096).

14222421214300 is an abundant number, since it is smaller than the sum of its proper divisors (19838278573892).

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

14222421214300 is a wasteful number, since it uses less digits than its factorization.

14222421214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104648 (or 104641 counting only the distinct ones).

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

Adding to 14222421214300 its reverse (341212422241), we get a palindrome (14563633636541).

The spelling of 14222421214300 in words is "fourteen trillion, two hundred twenty-two billion, four hundred twenty-one million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 2050 2132 2617 2665 4100 5234 5330 10468 10660 13085 13325 26170 26650 34021 52340 53300 65425 68042 101963 107297 130850 136084 170105 203926 214594 261700 340210 407852 429188 509815 536485 680420 850525 1019630 1072970 1325519 1394861 1701050 2039260 2145940 2549075 2651038 2682425 2789722 3402100 4180483 5098150 5302076 5364850 5579444 6627595 6974305 8360966 10196300 10729700 13255190 13948610 16721932 20902415 26510380 27897220 33137975 34871525 41804830 54346279 66275950 69743050 83609660 104512075 108692558 132551900 139486100 209024150 217385116 266837171 271731395 418048300 533674342 543462790 1067348684 1086925580 1334185855 1358656975 2668371710 2717313950 3468883223 5336743420 5434627900 6670929275 6937766446 10940324011 13341858550 13875532892 17344416115 21880648022 26683717100 34688832230 43761296044 54701620055 69377664460 86722080575 109403240110 142224212143 173444161150 218806480220 273508100275 284448424286 346888322300 547016200550 568896848572 711121060715 1094032401100 1422242121430 2844484242860 3555605303575 7111210607150 14222421214300