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41141331 = 3372112257
BaseRepresentation
bin1001110011110…
…0010001010011
32212102012022000
42130330101103
541013010311
64025445043
71006460400
oct234742123
985365260
1041141331
1121250100
1211940783
1386a61aa
14566d2a7
15392a056
hex273c453

41141331 has 72 divisors (see below), whose sum is σ = 78235920. Its totient is φ = 21288960.

The previous prime is 41141329. The next prime is 41141339. The reversal of 41141331 is 13314114.

41141331 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 41141331 - 21 = 41141329 is a prime.

It is a super-2 number, since 2×411413312 = 3385218232903122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41141339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159955 + ... + 160211.

It is an arithmetic number, because the mean of its divisors is an integer number (1086610).

Almost surely, 241141331 is an apocalyptic number.

41141331 is a deficient number, since it is larger than the sum of its proper divisors (37094589).

41141331 is a wasteful number, since it uses less digits than its factorization.

41141331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 278 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 41141331 is about 6414.1508401346. The cubic root of 41141331 is about 345.2174810230.

Adding to 41141331 its reverse (13314114), we get a palindrome (54455445).

It can be divided in two parts, 4114 and 1331, that added together give a palindrome (5445).

The spelling of 41141331 in words is "forty-one million, one hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 121 147 189 231 257 297 363 441 539 693 771 847 1089 1323 1617 1799 2079 2313 2541 2827 3267 4851 5397 5929 6939 7623 8481 12593 14553 16191 17787 19789 22869 25443 31097 37779 48573 53361 59367 76329 93291 113337 138523 160083 178101 217679 279873 340011 415569 534303 653037 839619 1246707 1523753 1959111 3740121 4571259 5877333 13713777 41141331