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4042241214 = 2311234436011
BaseRepresentation
bin1111000011101111…
…1011010010111110
3101102201012010111120
43300323323102332
531234303204324
61505035131410
7202112324544
oct36073732276
911381163446
104042241214
111794815720
129498a3b66
134c55c140b
142a4bcbd94
15189d1b179
hexf0efb4be

4042241214 has 64 divisors (see below), whose sum is σ = 9225197568. Its totient is φ = 1168824800.

The previous prime is 4042241207. The next prime is 4042241219. The reversal of 4042241214 is 4121422404.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042241219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669469 + ... + 675479.

It is an arithmetic number, because the mean of its divisors is an integer number (144143712).

Almost surely, 24042241214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042241214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612598784).

4042241214 is an abundant number, since it is smaller than the sum of its proper divisors (5182956354).

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

4042241214 is a wasteful number, since it uses less digits than its factorization.

4042241214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493.

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

The square root of 4042241214 is about 63578.6223034126. The cubic root of 4042241214 is about 1592.9693091911.

Adding to 4042241214 its reverse (4121422404), we get a palindrome (8163663618).

The spelling of 4042241214 in words is "four billion, forty-two million, two hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 443 506 759 886 1329 1518 2658 4873 6011 9746 10189 12022 14619 18033 20378 29238 30567 36066 61134 66121 112079 132242 138253 198363 224158 276506 336237 396726 414759 672474 829518 1520783 2662873 3041566 4562349 5325746 7988619 9124698 15977238 29291603 58583206 61246079 87874809 122492158 175749618 183738237 367476474 673706869 1347413738 2021120607 4042241214