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4013003241 = 321380942397
BaseRepresentation
bin1110111100110001…
…1001000111101001
3101100200011200112200
43233030121013221
531204312100431
61502112330413
7201305651622
oct35714310751
911320150480
104013003241
11177a265805
1293bb43a09
134bc525240
142a0d7aa49
15187492ee6
hexef3191e9

4013003241 has 24 divisors (see below), whose sum is σ = 6250313160. Its totient is φ = 2466429696.

The previous prime is 4013003213. The next prime is 4013003263. The reversal of 4013003241 is 1423003104.

4013003241 is a `hidden beast` number, since 40 + 1 + 300 + 324 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 804913641 + 3208089600 = 28371^2 + 56640^2 .

It is not a de Polignac number, because 4013003241 - 29 = 4013002729 is a prime.

It is a super-3 number, since 3×40130032413 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4013003201) 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, 73455 + ... + 115851.

It is an arithmetic number, because the mean of its divisors is an integer number (260429715).

Almost surely, 24013003241 is an apocalyptic number.

It is an amenable number.

4013003241 is a deficient number, since it is larger than the sum of its proper divisors (2237309919).

4013003241 is a wasteful number, since it uses less digits than its factorization.

4013003241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43225 (or 43222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4013003241 is about 63348.2694396619. The cubic root of 4013003241 is about 1589.1193046102.

Adding to 4013003241 its reverse (1423003104), we get a palindrome (5436006345).

The spelling of 4013003241 in words is "four billion, thirteen million, three thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 809 2427 7281 10517 31551 42397 94653 127191 381573 551161 1653483 4960449 34299173 102897519 308692557 445889249 1337667747 4013003241