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14213123341104 = 24319257275322027
BaseRepresentation
bin1100111011010100000000…
…1010101111101100110000
31212022202120000002102220110
43032311000022233230300
53330331434033403404
650121230235541320
72664602306020212
oct316650012575460
955282500072813
1014213123341104
11458a82a655236
1217167222ba840
137c13a406b6cc
14371cc14245b2
15199ab1539b89
hexced402afb30

14213123341104 has 160 divisors (see below), whose sum is σ = 38815965262080. Its totient is φ = 4469063417856.

The previous prime is 14213123341099. The next prime is 14213123341111. The reversal of 14213123341104 is 40114332131241.

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, 645248139 + ... + 645270165.

It is an arithmetic number, because the mean of its divisors is an integer number (242599782888).

Almost surely, 214213123341104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14213123341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407982631040).

14213123341104 is an abundant number, since it is smaller than the sum of its proper divisors (24602841920976).

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

14213123341104 is a wasteful number, since it uses less digits than its factorization.

14213123341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25067 (or 25061 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 14213123341104 its reverse (40114332131241), we get a palindrome (54327455472345).

The spelling of 14213123341104 in words is "fourteen trillion, two hundred thirteen billion, one hundred twenty-three million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 257 304 456 514 771 912 1028 1542 2056 2753 3084 4112 4883 5506 6168 8259 9766 11012 12336 14649 16518 19532 22024 22027 29298 33036 39064 44048 44054 52307 58596 66072 66081 78128 88108 104614 117192 132144 132162 156921 176216 209228 234384 264324 313842 352432 418456 418513 528648 627684 707521 836912 837026 1057296 1255368 1255539 1415042 1674052 2122563 2510736 2511078 2830084 3348104 4245126 5022156 5660168 5660939 6696208 8490252 10044312 11320336 11321878 13442899 16980504 16982817 20088624 22643756 26885798 33961008 33965634 40328697 45287512 53771596 60640331 67931268 80657394 90575024 107543192 107557841 121280662 135862536 161314788 181920993 215086384 215115682 242561324 271725072 322629576 322673523 363841986 430231364 485122648 645259152 645347046 727683972 860462728 970245296 1152166289 1290694092 1455367944 1720925456 2304332578 2581388184 2910735888 3456498867 4608665156 5162776368 6912997734 9217330312 13825995468 15584565067 18434660624 27651990936 31169130134 46753695201 55303981872 62338260268 93507390402 124676520536 187014780804 249353041072 296106736273 374029561608 592213472546 748059123216 888320208819 1184426945092 1776640417638 2368853890184 3553280835276 4737707780368 7106561670552 14213123341104