Search a number
-
+
14122140410440 = 2351572339651281
BaseRepresentation
bin1100110110000001000100…
…1010011010001001001000
31212000001201020122200101201
43031200101022122021020
53322334120421113230
650011342143553544
72655201542614456
oct315402112321110
955001636580351
1014122140410440
114555191109857
121700b702bb8b4
137b593470776a
1436b72db7d9d6
15197538c4e5ca
hexcd81129a248

14122140410440 has 64 divisors (see below), whose sum is σ = 32114447829360. Its totient is φ = 5588786012160.

The previous prime is 14122140410431. The next prime is 14122140410467. The reversal of 14122140410440 is 4401404122141.

It can be written as a sum of positive squares in 8 ways, for example, as 4494238881444 + 9627901528996 = 2119962^2 + 3102886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14122140410399 and 14122140410408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3362401 + ... + 6288880.

Almost surely, 214122140410440 is an apocalyptic number.

14122140410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122140410440 is an abundant number, since it is smaller than the sum of its proper divisors (17992307418920).

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

14122140410440 is a wasteful number, since it uses less digits than its factorization.

14122140410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9651682 (or 9651678 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14122140410440 its reverse (4401404122141), we get a palindrome (18523544532581).

The spelling of 14122140410440 in words is "fourteen trillion, one hundred twenty-two billion, one hundred forty million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 157 233 314 466 628 785 932 1165 1256 1570 1864 2330 3140 4660 6280 9320 36581 73162 146324 182905 292648 365810 731620 1463240 9651281 19302562 38605124 48256405 77210248 96512810 193025620 386051240 1515251117 2248748473 3030502234 4497496946 6061004468 7576255585 8994993892 11243742365 12122008936 15152511170 17989987784 22487484730 30305022340 44974969460 60610044680 89949938920 353053510261 706107020522 1412214041044 1765267551305 2824428082088 3530535102610 7061070205220 14122140410440