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14104562220342 = 23411191609125889
BaseRepresentation
bin1100110100111111100101…
…1010111011110100110110
31211221101100012012002210000
43031033321122323310312
53322042120412022332
645555314010212130
72654010125512026
oct315177132736466
954841305162700
1014104562220342
114548790739420
1216b9685424046
137b40929b3949
1436a943393a86
15196d5a916b7c
hexcd3f96bbd36

14104562220342 has 160 divisors (see below), whose sum is σ = 36296098185600. Its totient is φ = 4048748582400.

The previous prime is 14104562220293. The next prime is 14104562220383. The reversal of 14104562220342 is 24302226540141.

14104562220342 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 4 + 5 + 622 + 20 + 3 + 4 + 2 = 666.

It is a super-3 number, since 3×141045622203423 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14104562220297 and 14104562220306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 544796134 + ... + 544822022.

It is an arithmetic number, because the mean of its divisors is an integer number (226850613660).

Almost surely, 214104562220342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14104562220342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148049092800).

14104562220342 is an abundant number, since it is smaller than the sum of its proper divisors (22191535965258).

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

14104562220342 is a wasteful number, since it uses less digits than its factorization.

14104562220342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42024 (or 42015 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 14104562220342 its reverse (24302226540141), we get a palindrome (38406788760483).

The spelling of 14104562220342 in words is "fourteen trillion, one hundred four billion, five hundred sixty-two million, two hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1254 1539 1782 1881 3078 3762 5643 11286 16091 16929 25889 32182 33858 48273 51778 77667 96546 144819 155334 177001 233001 284779 289638 305729 354002 434457 466002 491891 531003 569558 611458 699003 854337 868914 917187 983782 1062006 1303371 1398006 1475673 1593009 1708674 1834374 2097009 2563011 2606742 2751561 2951346 3186018 3363019 4194018 4427019 4779027 5126022 5410801 5503122 6726038 7689033 8254683 8854038 9558054 10089057 10821602 13281057 14337081 15378066 16232403 16509366 20178114 23067099 24764049 26562114 28674162 30267171 32464806 39843171 46134198 48697209 49528098 60534342 79686342 90801513 97394418 146091627 181603026 272404539 292183254 416579899 438274881 544809078 833159798 876549762 1249739697 2499479394 3749219091 4582378889 7498438182 7915018081 9164757778 11247657273 13747136667 15830036162 22495314546 23745054243 27494273334 33742971819 41241410001 47490108486 67485943638 71235162729 82482820002 87065198891 123724230003 142470325458 174130397782 213705488187 247448460006 261195596673 371172690009 427410976374 522391193346 641116464561 742345380018 783586790019 1282232929122 1567173580038 2350760370057 4701520740114 7052281110171 14104562220342