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241044702041216 = 2741477481130631
BaseRepresentation
bin110110110011101010010111…
…110101110001010010000000
31011121110122111201202110211002
4312303222113311301102000
5223043234022210304331
62212354224000111132
7101525622265250213
oct6663522765612200
91147418451673732
10241044702041216
116a893536309527
12230500b30054a8
13a46655809b628
1443748a93b377a
151cd01d4c069cb
hexdb3a97d71480

241044702041216 has 128 divisors (see below), whose sum is σ = 502455943825920. Its totient is φ = 115064756224000.

The previous prime is 241044702041191. The next prime is 241044702041237. The reversal of 241044702041216 is 612140207440142.

241044702041216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 241044702041216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1845168221 + ... + 1845298851.

It is an arithmetic number, because the mean of its divisors is an integer number (3925437061140).

Almost surely, 2241044702041216 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 241044702041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251227971912960).

241044702041216 is an abundant number, since it is smaller than the sum of its proper divisors (261411241784704).

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

241044702041216 is a wasteful number, since it uses less digits than its factorization.

241044702041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138214 (or 138202 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

Adding to 241044702041216 its reverse (612140207440142), we get a palindrome (853184909481358).

The spelling of 241044702041216 in words is "two hundred forty-one trillion, forty-four billion, seven hundred two million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 128 164 188 328 376 656 752 1312 1504 1927 2624 3008 3854 5248 6016 7481 7708 14962 15416 29924 30832 59848 61664 119696 123328 130631 239392 246656 261262 306721 351607 478784 522524 613442 703214 957568 1045048 1226884 1406428 2090096 2453768 2812856 4180192 4907536 5355871 5625712 6139657 8360384 9815072 10711742 11251424 12279314 14415887 16720768 19630144 21423484 22502848 24558628 28831774 39260288 42846968 45005696 49117256 57663548 85693936 98234512 115327096 171387872 196469024 230654192 251725937 342775744 392938048 461308384 503451874 685551488 785876096 922616768 977250511 1006903748 1845233536 1954501022 2013807496 3909002044 4027614992 7818004088 8055229984 15636008176 16110459968 31272016352 32220919936 40067270951 45930774017 62544032704 80134541902 91861548034 125088065408 160269083804 183723096068 320538167608 367446192136 641076335216 734892384272 1282152670432 1469784768544 1883161734697 2564305340864 2939569537088 3766323469394 5128610681728 5879139074176 7532646938788 15065293877576 30130587755152 60261175510304 120522351020608 241044702041216