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241313343551104 = 2711193888017191
BaseRepresentation
bin110110110111100100100100…
…000111110011011010000000
31011122102022220211011011002111
4312313210210013303122000
5223112134211422113404
62213121453012025104
7101554212416355256
oct6667444407633200
91148368824134074
10241313343551104
116a987461454aa0
1223094186602194
13a48599b25b536
1443838b18c25d6
151cd71a9396104
hexdb79241f3680

241313343551104 has 64 divisors (see below), whose sum is σ = 527162525858880. Its totient is φ = 109119552307200.

The previous prime is 241313343551101. The next prime is 241313343551141. The reversal of 241313343551104 is 401155343313142.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (241313343551101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443736852 + ... + 444280339.

It is an arithmetic number, because the mean of its divisors is an integer number (8236914466545).

Almost surely, 2241313343551104 is an apocalyptic number.

It is an amenable number.

241313343551104 is an abundant number, since it is smaller than the sum of its proper divisors (285849182307776).

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

241313343551104 is a wasteful number, since it uses less digits than its factorization.

241313343551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888017409 (or 888017397 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 241313343551104 its reverse (401155343313142), we get a palindrome (642468686864246).

The spelling of 241313343551104 in words is "two hundred forty-one trillion, three hundred thirteen billion, three hundred forty-three million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 352 386 704 772 1408 1544 2123 3088 4246 6176 8492 12352 16984 24704 33968 67936 135872 271744 888017191 1776034382 3552068764 7104137528 9768189101 14208275056 19536378202 28416550112 39072756404 56833100224 78145512808 113666200448 156291025616 171387317863 312582051232 342774635726 625164102464 685549271452 1250328204928 1371098542904 1885260496493 2742197085808 3770520992986 5484394171616 7541041985972 10968788343232 15082083971944 21937576686464 30164167943888 60328335887776 120656671775552 241313343551104