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12233041026414 = 23135314954736307
BaseRepresentation
bin1011001000000011101000…
…0100001001110101101110
31121022110121122212211122220
42302000322010021311232
53100411232000321124
642003440444020210
72401544106032415
oct262007204116556
947273548784586
1012233041026414
1139970048211aa
121456a18831666
136a9756121160
14304121d5047c
15163321e68879
hexb203a109d6e

12233041026414 has 128 divisors (see below), whose sum is σ = 27075543667200. Its totient is φ = 3661401429504.

The previous prime is 12233041026407. The next prime is 12233041026433. The reversal of 12233041026414 is 41462014033221.

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 63 ways as a sum of consecutive naturals, for example, 336915249 + ... + 336951555.

It is an arithmetic number, because the mean of its divisors is an integer number (211527684900).

Almost surely, 212233041026414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233041026414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537771833600).

12233041026414 is an abundant number, since it is smaller than the sum of its proper divisors (14842502640786).

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

12233041026414 is a wasteful number, since it uses less digits than its factorization.

12233041026414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37074.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 12233041026414 its reverse (41462014033221), we get a palindrome (53695055059635).

The spelling of 12233041026414 in words is "twelve trillion, two hundred thirty-three billion, forty-one million, twenty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 53 78 106 149 159 298 318 447 547 689 894 1094 1378 1641 1937 2067 3282 3874 4134 5811 7111 7897 11622 14222 15794 21333 23691 28991 36307 42666 47382 57982 72614 81503 86973 102661 108921 163006 173946 205322 217842 244509 307983 376883 471991 489018 615966 753766 943982 1059539 1130649 1415973 1924271 2119078 2261298 2831946 3178617 3848542 4319659 5409743 5772813 6357234 8639318 10819486 11545626 12958977 16229229 19859929 25015523 25917954 32458458 39719858 50031046 56155567 59579787 70326659 75046569 112311134 119159574 140653318 150093138 168466701 210979977 258179077 286716379 336933402 421959954 516358154 573432758 774537231 860149137 1052576237 1549074462 1720298274 2105152474 2959129421 3157728711 3727312927 5918258842 6315457422 7454625854 8877388263 11181938781 13683491081 17754776526 22363877562 27366982162 38468682473 41050473243 76937364946 82100946486 115406047419 156833859313 230812094838 313667718626 470501577939 941003155878 2038840171069 4077680342138 6116520513207 12233041026414