Search a number
-
+
241344004421240 = 23576712864818999
BaseRepresentation
bin110110111000000001000111…
…101001101111011001111000
31011122112021001121222201212022
4312320001013221233121320
5223113140010112434430
62213143523252534012
7101556346262433230
oct6670010751573170
91148467047881768
10241344004421240
116a999465741596
122309a102921308
13a488846512246
14438517d9dacc0
151cd7da10134e5
hexdb8047a6f678

241344004421240 has 64 divisors (see below), whose sum is σ = 629861538240000. Its totient is φ = 81511493171328.

The previous prime is 241344004421207. The next prime is 241344004421243. The reversal of 241344004421240 is 42124400443142.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 241344004421240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241344004421243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6432390740 + ... + 6432428259.

It is an arithmetic number, because the mean of its divisors is an integer number (9841586535000).

Almost surely, 2241344004421240 is an apocalyptic number.

241344004421240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241344004421240 is an abundant number, since it is smaller than the sum of its proper divisors (388517533818760).

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

241344004421240 is a wasteful number, since it uses less digits than its factorization.

241344004421240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864819084 (or 12864819080 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 241344004421240 its reverse (42124400443142), we get a palindrome (283468404864382).

The spelling of 241344004421240 in words is "two hundred forty-one trillion, three hundred forty-four billion, four million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4690 9380 18760 12864818999 25729637998 51459275996 64324094995 90053732993 102918551992 128648189990 180107465986 257296379980 360214931972 450268664965 514592759960 720429863944 861942872933 900537329930 1723885745866 1801074659860 3447771491732 3602149319720 4309714364665 6033600110531 6895542983464 8619428729330 12067200221062 17238857458660 24134400442124 30168000552655 34477714917320 48268800884248 60336001105310 120672002210620 241344004421240