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41404214001411 = 321719541136719259
BaseRepresentation
bin10010110101000001010110…
…11101111011111100000011
312102121012111212022020222200
421122200223131323330003
520411331312241021121
6224020455555404243
711502233010111132
oct1132405335737403
9172535455266880
1041404214001411
1112213479441a58
1247884b75b3683
131a145292402a1
14a31d90623919
154bc042cc4a26
hex25a82b77bf03

41404214001411 has 96 divisors (see below), whose sum is σ = 66832471180800. Its totient is φ = 24547054095360.

The previous prime is 41404214001317. The next prime is 41404214001421. The reversal of 41404214001411 is 11410041240414.

41404214001411 is a `hidden beast` number, since 4 + 1 + 404 + 214 + 0 + 0 + 1 + 41 + 1 = 666.

It is not a de Polignac number, because 41404214001411 - 218 = 41404213739267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41404214001421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2149853500 + ... + 2149872758.

It is an arithmetic number, because the mean of its divisors is an integer number (696171574800).

Almost surely, 241404214001411 is an apocalyptic number.

41404214001411 is a deficient number, since it is larger than the sum of its proper divisors (25428257179389).

41404214001411 is a wasteful number, since it uses less digits than its factorization.

41404214001411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21209 (or 21206 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 41404214001411 its reverse (11410041240414), we get a palindrome (52814255241825).

The spelling of 41404214001411 in words is "forty-one trillion, four hundred four billion, two hundred fourteen million, one thousand, four hundred eleven".

Divisors: 1 3 9 17 19 51 57 153 171 323 541 969 1367 1623 2907 4101 4869 9197 10279 12303 19259 23239 25973 27591 30837 57777 69717 77919 82773 92511 173331 174743 209151 233757 327403 365921 441541 524229 739547 982209 1097763 1324623 1572687 2218641 2946627 3293289 3973869 6220657 6655923 10419119 12572299 14051393 18661971 26327053 31257357 37716897 42154179 55985913 78981159 93772071 113150691 126462537 177125023 197963261 236943477 238873681 447559901 500214007 531375069 593889783 716621043 1342679703 1500642021 1594125207 1781669349 2149863129 3365375437 4028039109 4501926063 8503638119 10096126311 14242935673 25510914357 30288378933 42728807019 76532743071 128186421057 242129906441 270615777787 726389719323 811847333361 2179169157969 2435542000083 4600468222379 13801404667137 41404214001411