Search a number
-
+
4141140234 = 2372114312971
BaseRepresentation
bin1111011011010100…
…1100100100001010
3101200121021201110020
43312311030210022
531440112441414
61522531001310
7204423053100
oct36665144412
911617251406
104141140234
111835624a50
12976a39236
1350cc3aa4a
142b3db3c70
151938547a9
hexf6d4c90a

4141140234 has 96 divisors (see below), whose sum is σ = 10538284032. Its totient is φ = 1072764000.

The previous prime is 4141140229. The next prime is 4141140247. The reversal of 4141140234 is 4320411414.

4141140234 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1392369 + ... + 1395339.

It is an arithmetic number, because the mean of its divisors is an integer number (109773792).

Almost surely, 24141140234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141140234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269142016).

4141140234 is an abundant number, since it is smaller than the sum of its proper divisors (6397143798).

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

4141140234 is a wasteful number, since it uses less digits than its factorization.

4141140234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4141140234 is about 64351.6917726333. The cubic root of 4141140234 is about 1605.8561742493.

Adding to 4141140234 its reverse (4320411414), we get a palindrome (8461551648).

The spelling of 4141140234 in words is "four billion, one hundred forty-one million, one hundred forty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 431 462 539 862 1078 1293 1617 2586 2971 3017 3234 4741 5942 6034 8913 9051 9482 14223 17826 18102 20797 21119 28446 32681 33187 41594 42238 62391 63357 65362 66374 98043 99561 124782 126714 145579 196086 199122 228767 232309 291158 436737 457534 464618 686301 696927 873474 1280501 1372602 1393854 1601369 2561002 3202738 3841503 4804107 7683006 8963507 9608214 14085511 17927014 26890521 28171022 42256533 53781042 62744549 84513066 98598577 125489098 188233647 197197154 295795731 376467294 591591462 690190039 1380380078 2070570117 4141140234