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241344424420 = 225112401248701
BaseRepresentation
bin1110000011000100111…
…1111010100111100100
3212001221201010001120221
43200301033322213210
512423233133040140
6302512212334124
723302511521351
oct3406117724744
9761851101527
10241344424420
11933986aa200
123a935914344
13199b2a92038
14b977055628
156427ec414a
hex38313fa9e4

241344424420 has 72 divisors (see below), whose sum is σ = 558478247544. Its totient is φ = 87542400000.

The previous prime is 241344424361. The next prime is 241344424421. The reversal of 241344424420 is 24424443142.

241344424420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110006315584 + 131338108836 = 331672^2 + 362406^2 .

It is not an unprimeable number, because it can be changed into a prime (241344424421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 846070 + ... + 1094770.

It is an arithmetic number, because the mean of its divisors is an integer number (7756642327).

Almost surely, 2241344424420 is an apocalyptic number.

241344424420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241344424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279239123772).

241344424420 is an abundant number, since it is smaller than the sum of its proper divisors (317133823124).

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

241344424420 is a wasteful number, since it uses less digits than its factorization.

241344424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249133 (or 249120 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 241344424420 its reverse (24424443142), we get a palindrome (265768867562).

The spelling of 241344424420 in words is "two hundred forty-one billion, three hundred forty-four million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 401 484 605 802 1210 1604 2005 2420 4010 4411 8020 8822 17644 22055 44110 48521 88220 97042 194084 242605 248701 485210 497402 970420 994804 1243505 2487010 2735711 4974020 5471422 10942844 13678555 27357110 30092821 54714220 60185642 99729101 120371284 150464105 199458202 300928210 398916404 498645505 601856420 997291010 1097020111 1994582020 2194040222 4388080444 5485100555 10970201110 12067221221 21940402220 24134442442 48268884884 60336106105 120672212210 241344424420