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12443311334421 = 321110110391913147
BaseRepresentation
bin1011010100010010111100…
…1001101110010000010101
31122001120100202120020011100
42311010233021232100111
53112332400200200141
642244213414300313
72422666566124362
oct265045711562025
948046322506140
1012443311334421
113a681a6940860
12148b71b957699
136c3526130856
1431038c039469
15168a2bd920b6
hexb512f26e415

12443311334421 has 96 divisors (see below), whose sum is σ = 20017306183680. Its totient is φ = 7385633136000.

The previous prime is 12443311334411. The next prime is 12443311334429.

12443311334421 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 3 + 311 + 334 + 4 + 2 + 1 = 666.

12443311334421 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-12443311334421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443311334429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946468770 + ... + 946481916.

It is an arithmetic number, because the mean of its divisors is an integer number (208513606080).

Almost surely, 212443311334421 is an apocalyptic number.

12443311334421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12443311334421 is a deficient number, since it is larger than the sum of its proper divisors (7573994849259).

12443311334421 is a wasteful number, since it uses less digits than its factorization.

12443311334421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287 (or 14284 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1244331 and 1334421, that added together give a palindrome (2578752).

The spelling of 12443311334421 in words is "twelve trillion, four hundred forty-three billion, three hundred eleven million, three hundred thirty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 99 101 103 303 309 909 919 927 1111 1133 2757 3333 3399 8271 9999 10109 10197 10403 13147 30327 31209 39441 90981 92819 93627 94657 114433 118323 144617 278457 283971 343299 433851 835371 851913 1021009 1029897 1041227 1301553 1327847 1354141 3063027 3123681 3983541 4062423 9189081 9371043 9560357 11950623 12082093 12187269 14606317 14895551 28681071 36246279 43818951 44686653 86043213 105163927 108738837 131456853 132903023 134059959 136768241 315491781 398709069 410304723 946475343 1196127207 1220291393 1230914169 1244455579 1504450651 3660874179 3733366737 4513351953 10982622537 11200100211 13423205323 13540055859 13689011369 40269615969 41067034107 120808847907 123201102321 125690013479 377070040437 1131210121311 1382590148269 4147770444807 12443311334421