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4241040441 = 311247331751
BaseRepresentation
bin1111110011001001…
…0010010000111001
3101221120021011202220
43330302102100321
532141201243231
61540500114253
7210045151251
oct37462222071
911846234686
104241040441
111886a58500
129a4395989
13527847cb1
142c337a961
1519c4d9896
hexfcc92439

4241040441 has 48 divisors (see below), whose sum is σ = 6375419904. Its totient is φ = 2504700000.

The previous prime is 4241040379. The next prime is 4241040457. The reversal of 4241040441 is 1440401424.

It is a happy number.

4241040441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4241040441 - 27 = 4241040313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4241040481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646816 + ... + 5647566.

It is an arithmetic number, because the mean of its divisors is an integer number (132821248).

Almost surely, 24241040441 is an apocalyptic number.

It is an amenable number.

4241040441 is a deficient number, since it is larger than the sum of its proper divisors (2134379463).

4241040441 is a wasteful number, since it uses less digits than its factorization.

4241040441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4241040441 is about 65123.2711171667. The cubic root of 4241040441 is about 1618.6668452069. Note that the first 3 decimals are identical.

Adding to 4241040441 its reverse (1440401424), we get a palindrome (5681441865).

The spelling of 4241040441 in words is "four billion, two hundred forty-one million, forty thousand, four hundred forty-one".

Divisors: 1 3 11 33 47 121 141 331 363 517 751 993 1551 2253 3641 5687 8261 10923 15557 17061 24783 35297 40051 46671 90871 105891 120153 171127 248581 272613 388267 513381 745743 1164801 1882397 2734391 4270937 5647191 8203173 11683307 12812811 30078301 35049921 90234903 128516377 385549131 1413680147 4241040441