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41244004131 = 311291091133499
BaseRepresentation
bin100110011010010101…
…011000111100100011
310221110100212111100120
4212122111120330203
51133431431113011
630540334051323
72660031152001
oct463225307443
9127410774316
1041244004131
111654518a830
127bb0649b43
133b73a12c95
141dd38b3a71
151115d15a06
hex99a558f23

41244004131 has 64 divisors (see below), whose sum is σ = 63201600000. Its totient is φ = 23694612480.

The previous prime is 41244004057. The next prime is 41244004187. The reversal of 41244004131 is 13140044214.

41244004131 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 41244004131 - 214 = 41243987747 is a prime.

It is a super-2 number, since 2×412440041312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41244004831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11785620 + ... + 11789118.

It is an arithmetic number, because the mean of its divisors is an integer number (987525000).

Almost surely, 241244004131 is an apocalyptic number.

41244004131 is a deficient number, since it is larger than the sum of its proper divisors (21957595869).

41244004131 is a wasteful number, since it uses less digits than its factorization.

41244004131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764.

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

Adding to 41244004131 its reverse (13140044214), we get a palindrome (54384048345).

The spelling of 41244004131 in words is "forty-one billion, two hundred forty-four million, four thousand, one hundred thirty-one".

Divisors: 1 3 11 29 33 87 109 113 319 327 339 957 1199 1243 3161 3277 3499 3597 3729 9483 9831 10497 12317 34771 36047 36951 38489 101471 104313 108141 115467 135487 304413 357193 381391 395387 406461 1071579 1116181 1144173 1186161 3348543 3929123 4195301 4349257 11060339 11466223 11787369 12585903 13047771 33181017 34398669 43097183 121663729 126128453 129291549 364991187 378385359 474069013 1249818307 1422207039 3749454921 13748001377 41244004131