Search a number
-
+
242144321123334 = 23743186172046049
BaseRepresentation
bin110111000011101010011110…
…001111101011010000000110
31011202100202211002001121110010
4313003222132033223100012
5223214243032201421314
62214555322045211050
7102001231003240050
oct6703523617532006
91152322732047403
10242144321123334
1170177914648253
12231a9237260a86
13a51615ac869b6
1443b1bc20428d0
151cedae2013059
hexdc3a9e3eb406

242144321123334 has 64 divisors (see below), whose sum is σ = 566648523302400. Its totient is φ = 67538847237120.

The previous prime is 242144321123333. The next prime is 242144321123399. The reversal of 242144321123334 is 433321123441242.

It is a junction number, because it is equal to n+sod(n) for n = 242144321123292 and 242144321123301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242144321123333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32662059 + ... + 39383990.

It is an arithmetic number, because the mean of its divisors is an integer number (8853883176600).

Almost surely, 2242144321123334 is an apocalyptic number.

242144321123334 is an abundant number, since it is smaller than the sum of its proper divisors (324504202179066).

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

242144321123334 is a wasteful number, since it uses less digits than its factorization.

242144321123334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72047965.

The product of its digits is 331776, while the sum is 39.

Adding to 242144321123334 its reverse (433321123441242), we get a palindrome (675465444564576).

The spelling of 242144321123334 in words is "two hundred forty-two trillion, one hundred forty-four billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 1861 3722 5583 11166 13027 26054 39081 78162 80023 160046 240069 480138 560161 1120322 1680483 3360966 72046049 144092098 216138147 432276294 504322343 1008644686 1512967029 3025934058 3097980107 6195960214 9293940321 18587880642 21685860749 43371721498 65057582247 130115164494 134077697189 268155394378 402233091567 804466183134 938543880323 1877087760646 2815631640969 5631263281938 5765340979127 11530681958254 17296022937381 34592045874762 40357386853889 80714773707778 121072160561667 242144321123334