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41241133104 = 2435977318839
BaseRepresentation
bin100110011010001010…
…011100000000110000
310221110011110122001020
4212122022130000300
51133430212224404
630540152335440
72656664563443
oct463212340060
9127404418036
1041241133104
11165435a9786
127bab6a4580
133b73249252
141dd336765a
151115949ed9
hex99a29c030

41241133104 has 80 divisors (see below), whose sum is σ = 108491270400. Its totient is φ = 13495844608.

The previous prime is 41241133081. The next prime is 41241133139. The reversal of 41241133104 is 40133114214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2179717 + ... + 2198555.

It is an arithmetic number, because the mean of its divisors is an integer number (1356140880).

Almost surely, 241241133104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41241133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54245635200).

41241133104 is an abundant number, since it is smaller than the sum of its proper divisors (67250137296).

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

41241133104 is a wasteful number, since it uses less digits than its factorization.

41241133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19682 (or 19676 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41241133104 its reverse (40133114214), we get a palindrome (81374247318).

It can be divided in two parts, 41241 and 133104, that added together give a triangular number (174345 = T590).

The spelling of 41241133104 in words is "forty-one billion, two hundred forty-one million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 773 944 1416 1546 2319 2832 3092 4638 6184 9276 12368 18552 18839 37104 37678 45607 56517 75356 91214 113034 136821 150712 182428 226068 273642 301424 364856 452136 547284 729712 904272 1094568 1111501 2189136 2223002 3334503 4446004 6669006 8892008 13338012 14562547 17784016 26676024 29125094 43687641 53352048 58250188 87375282 116500376 174750564 233000752 349501128 699002256 859190273 1718380546 2577570819 3436761092 5155141638 6873522184 10310283276 13747044368 20620566552 41241133104