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241241332440220 = 225722411021429979
BaseRepresentation
bin110110110110100001011111…
…111011001101110010011100
31011122011110001020112200201121
4312312201133323031302130
5223104444222101041340
62213024423240020324
7101546053052126500
oct6666413773156234
91148143036480647
10241241332440220
116a959969017612
122308222a1616a4
13a47bc63279458
1443801ddb5c300
151cd539242a94a
hexdb685fecdc9c

241241332440220 has 72 divisors (see below), whose sum is σ = 591763416053040. Its totient is φ = 82368113425920.

The previous prime is 241241332440209. The next prime is 241241332440221. The reversal of 241241332440220 is 22044233142142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241241332440221) 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 23 ways as a sum of consecutive naturals, for example, 510478810 + ... + 510951169.

It is an arithmetic number, because the mean of its divisors is an integer number (8218936334070).

Almost surely, 2241241332440220 is an apocalyptic number.

241241332440220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241241332440220 is an abundant number, since it is smaller than the sum of its proper divisors (350522083612820).

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

241241332440220 is a wasteful number, since it uses less digits than its factorization.

241241332440220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021430243 (or 1021430234 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 241241332440220 its reverse (22044233142142), we get a palindrome (263285565582362).

The spelling of 241241332440220 in words is "two hundred forty-one trillion, two hundred forty-one billion, three hundred thirty-two million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 241 245 482 490 964 980 1205 1687 2410 3374 4820 6748 8435 11809 16870 23618 33740 47236 59045 118090 236180 1021429979 2042859958 4085719916 5107149895 7150009853 10214299790 14300019706 20428599580 28600039412 35750049265 50050068971 71500098530 100100137942 143000197060 200200275884 246164624939 250250344855 492329249878 500500689710 984658499756 1001001379420 1230823124695 1723152374573 2461646249390 3446304749146 4923292498780 6892609498292 8615761872865 12062066622011 17231523745730 24124133244022 34463047491460 48248266488044 60310333110055 120620666220110 241241332440220