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244010242004133 = 3111922371050116567
BaseRepresentation
bin110111011110110100001111…
…110010111101010010100101
31011222222011002022101111012110
4313132310033302331102211
5223440330433423113013
62222544431353311233
7102253105161110013
oct6736641762752245
91158864068344173
10244010242004133
1170827187306310
122344a9a0405519
13a6200b4512637
1444382317998b3
151d323edec92c3
hexdded0fcbd4a5

244010242004133 has 64 divisors (see below), whose sum is σ = 373829366753280. Its totient is φ = 140017157280000.

The previous prime is 244010242004131. The next prime is 244010242004153. The reversal of 244010242004133 is 331400242010442.

It is not a de Polignac number, because 244010242004133 - 21 = 244010242004131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 244010242004133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244010242004131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14728683816 + ... + 14728700382.

It is an arithmetic number, because the mean of its divisors is an integer number (5841083855520).

Almost surely, 2244010242004133 is an apocalyptic number.

It is an amenable number.

244010242004133 is a deficient number, since it is larger than the sum of its proper divisors (129819124749147).

244010242004133 is a wasteful number, since it uses less digits than its factorization.

244010242004133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29338.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 244010242004133 its reverse (331400242010442), we get a palindrome (575410484014575).

The spelling of 244010242004133 in words is "two hundred forty-four trillion, ten billion, two hundred forty-two million, four thousand, one hundred thirty-three".

Divisors: 1 3 11 19 33 57 209 627 2237 6711 10501 16567 24607 31503 42503 49701 73821 115511 127509 182237 199519 314773 346533 467533 546711 598557 944319 1402599 2194709 3462503 6584127 10387509 23490737 37060379 70472211 111181137 173970067 258398107 407664169 446324003 521910201 704147201 775194321 1222992507 1338972009 1913670737 2112441603 3305431273 4909564033 5741012211 7745619211 9916293819 14728692099 23236857633 36359744003 109079232009 389171039879 1167513119637 4280881438669 7394249757701 12842644316007 22182749273103 81336747334711 244010242004133