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241221351444340 = 22573165220103729
BaseRepresentation
bin110110110110001110111000…
…111101110000111101110100
31011122002112110201202221020011
4312312032320331300331310
5223104132311432204330
62213011320425550004
7101544444650353261
oct6666167075607564
91148075421687204
10241221351444340
116a951445298683
122307a392645304
13a47a0ca7c6877
14437d2661c2268
151cd4ac31b582a
hexdb63b8f70f74

241221351444340 has 24 divisors (see below), whose sum is σ = 513504082392840. Its totient is φ = 95166779747328.

The previous prime is 241221351444239. The next prime is 241221351444343. The reversal of 241221351444340 is 43444153122142.

It can be written as a sum of positive squares in 4 ways, for example, as 301967834256 + 240919383610084 = 549516^2 + 15521578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241221351444293 and 241221351444302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241221351444343) 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 7 ways as a sum of consecutive naturals, for example, 82610050405 + ... + 82610053324.

It is an arithmetic number, because the mean of its divisors is an integer number (21396003433035).

Almost surely, 2241221351444340 is an apocalyptic number.

241221351444340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241221351444340 is an abundant number, since it is smaller than the sum of its proper divisors (272282730948500).

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

241221351444340 is a wasteful number, since it uses less digits than its factorization.

241221351444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165220103811 (or 165220103809 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 241221351444340 in words is "two hundred forty-one trillion, two hundred twenty-one billion, three hundred fifty-one million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 165220103729 330440207458 660880414916 826100518645 1652201037290 3304402074580 12061067572217 24122135144434 48244270288868 60305337861085 120610675722170 241221351444340