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41004440242311 = 3713283477138407
BaseRepresentation
bin10010101001011000101110…
…00110000100100010000111
312101011222121221110010011110
421110230113012010202013
520333304043200223221
6223113102500340103
711431321153165440
oct1124542706044207
9171158557403143
1041004440242311
1112079981595807
124722b280a4633
1319b5918746200
14a1a8a85142c7
154b19461ba776
hex254b17184887

41004440242311 has 48 divisors (see below), whose sum is σ = 67660358828544. Its totient is φ = 21628300367232.

The previous prime is 41004440242229. The next prime is 41004440242361. The reversal of 41004440242311 is 11324204440014.

It is a happy number.

It is not a de Polignac number, because 41004440242311 - 225 = 41004406687879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41004440242361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296190670 + ... + 296329076.

It is an arithmetic number, because the mean of its divisors is an integer number (1409590808928).

Almost surely, 241004440242311 is an apocalyptic number.

41004440242311 is a deficient number, since it is larger than the sum of its proper divisors (26655918586233).

41004440242311 is a wasteful number, since it uses less digits than its factorization.

41004440242311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221920 (or 221907 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 41004440242311 its reverse (11324204440014), we get a palindrome (52328644682325).

The spelling of 41004440242311 in words is "forty-one trillion, four billion, four hundred forty million, two hundred forty-two thousand, three hundred eleven".

Divisors: 1 3 7 13 21 39 91 169 273 507 1183 3549 83477 138407 250431 415221 584339 968849 1085201 1753017 1799291 2906547 3255603 5397873 7596407 12595037 14107613 22789221 23390783 37785111 42322839 70172349 98753291 163735481 296259873 491206443 11553801139 34661403417 80876607973 150199414807 242629823919 450598244421 1051395903649 1952592392491 3154187710947 5857777177473 13668146747437 41004440242311