Search a number
-
+
14122421242340 = 2256469109154593
BaseRepresentation
bin1100110110000010000111…
…1001101100100111100100
31212000002102211002102100012
43031200201321230213210
53322340204314223330
650011430055105352
72655211522631405
oct315404171544744
955002384072305
1014122421242340
114555315690a34
12170102a372258
137b597a953998
1436b7591a39ac
15197553723c95
hexcd821e6c9e4

14122421242340 has 24 divisors (see below), whose sum is σ = 29661669373560. Its totient is φ = 5648095208448.

The previous prime is 14122421242339. The next prime is 14122421242351. The reversal of 14122421242340 is 4324212422141.

It can be written as a sum of positive squares in 4 ways, for example, as 800914023844 + 13321507218496 = 894938^2 + 3649864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14122421242297 and 14122421242306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54447917 + ... + 54706676.

It is an arithmetic number, because the mean of its divisors is an integer number (1235902890565).

Almost surely, 214122421242340 is an apocalyptic number.

14122421242340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122421242340 is an abundant number, since it is smaller than the sum of its proper divisors (15539248131220).

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

14122421242340 is a wasteful number, since it uses less digits than its factorization.

14122421242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109161071 (or 109161069 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14122421242340 its reverse (4324212422141), we get a palindrome (18446633664481).

The spelling of 14122421242340 in words is "fourteen trillion, one hundred twenty-two billion, four hundred twenty-one million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 6469 12938 25876 32345 64690 129380 109154593 218309186 436618372 545772965 1091545930 2183091860 706121062117 1412242124234 2824484248468 3530605310585 7061210621170 14122421242340