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241404131341344 = 2533494971951311
BaseRepresentation
bin110110111000111001000111…
…011111101111010000100000
31011122202000020222101202021010
4312320321013133233100200
5223120131130110410334
62213231305453300520
7101563605263013336
oct6670710737572040
91148660228352233
10241404131341344
116aa11a0a8275a4
12230a98a3194740
13a49140934a08a
14438804528bb56
151cd971e9870e9
hexdb8e477ef420

241404131341344 has 48 divisors (see below), whose sum is σ = 633703985308800. Its totient is φ = 80465740220160.

The previous prime is 241404131341333. The next prime is 241404131341381. The reversal of 241404131341344 is 443143131404142.

It is a tau number, because it is divible by the number of its divisors (48).

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, 32620552 + ... + 39330759.

It is an arithmetic number, because the mean of its divisors is an integer number (13202166360600).

Almost surely, 2241404131341344 is an apocalyptic number.

241404131341344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241404131341344 is an abundant number, since it is smaller than the sum of its proper divisors (392299853967456).

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

241404131341344 is a wasteful number, since it uses less digits than its factorization.

241404131341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71986273 (or 71986265 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 241404131341344 its reverse (443143131404142), we get a palindrome (684547262745486).

The spelling of 241404131341344 in words is "two hundred forty-one trillion, four hundred four billion, one hundred thirty-one million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 34949 69898 104847 139796 209694 279592 419388 559184 838776 1118368 1677552 3355104 71951311 143902622 215853933 287805244 431707866 575610488 863415732 1151220976 1726831464 2302441952 3453662928 6907325856 2514626368139 5029252736278 7543879104417 10058505472556 15087758208834 20117010945112 30175516417668 40234021890224 60351032835336 80468043780448 120702065670672 241404131341344