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14214542102124 = 22371324675276441
BaseRepresentation
bin1100111011011001010010…
…1110111000111001101100
31212022220012212201222010220
43032312110232320321230
53330342340234231444
650122023120531340
72664652414211550
oct316662456707154
955286185658126
1014214542102124
114590398498401
121716a59480b50
137c156bc88680
14371db7a1b860
15199b45d88619
hexced94bb8e6c

14214542102124 has 96 divisors (see below), whose sum is σ = 40837803772416. Its totient is φ = 3747369899520.

The previous prime is 14214542102051. The next prime is 14214542102171. The reversal of 14214542102124 is 42120124541241.

It is a happy number.

It is a super-2 number, since 2×142145421021242 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55744 + ... + 5332184.

It is an arithmetic number, because the mean of its divisors is an integer number (425393789296).

Almost surely, 214214542102124 is an apocalyptic number.

14214542102124 is a gapful number since it is divisible by the number (14) 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 14214542102124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418901886208).

14214542102124 is an abundant number, since it is smaller than the sum of its proper divisors (26623261670292).

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

14214542102124 is a wasteful number, since it uses less digits than its factorization.

14214542102124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278935 (or 5278933 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 14214542102124 its reverse (42120124541241), we get a palindrome (56334666643365).

The spelling of 14214542102124 in words is "fourteen trillion, two hundred fourteen billion, five hundred forty-two million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2467 4934 7401 9868 14802 17269 29604 32071 34538 51807 64142 69076 96213 103614 128284 192426 207228 224497 384852 448994 673491 897988 1346982 2693964 5276441 10552882 15829323 21105764 31658646 36935087 63317292 68593733 73870174 110805261 137187466 147740348 205781199 221610522 274374932 411562398 443221044 480156131 823124796 960312262 1440468393 1920624524 2880936786 5761873572 13016979947 26033959894 39050939841 52067919788 78101879682 91118859629 156203759364 169220739311 182237719258 273356578887 338441478622 364475438516 507662217933 546713157774 676882957244 1015324435866 1093426315548 1184545175177 2030648871732 2369090350354 3553635525531 4738180700708 7107271051062 14214542102124