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241041066241008 = 243111274441780929
BaseRepresentation
bin110110110011100110111111…
…001000010010101111110000
31011121110022010100100200120010
4312303212333020102233300
5223043204100424203013
62212352423120214520
7101525433216411465
oct6663467710225760
91147408110320503
10241041066241008
116a891a3aa68a70
122304b45946a440
13a4660c8a65467
14437464258566c
151cd00709227c3
hexdb39bf212bf0

241041066241008 has 160 divisors (see below), whose sum is σ = 684670224015360. Its totient is φ = 72465080647680.

The previous prime is 241041066240913. The next prime is 241041066241057. The reversal of 241041066241008 is 800142660140142.

It is a super-2 number, since 2×2410410662410082 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2978385888 + ... + 2978466816.

It is an arithmetic number, because the mean of its divisors is an integer number (4279188900096).

Almost surely, 2241041066241008 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 241041066241008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342335112007680).

241041066241008 is an abundant number, since it is smaller than the sum of its proper divisors (443629157774352).

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

241041066241008 is a wasteful number, since it uses less digits than its factorization.

241041066241008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125495 (or 125489 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 241041066241008 in words is "two hundred forty-one trillion, forty-one billion, sixty-six million, two hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 381 508 528 762 1016 1397 1524 2032 2794 3048 4191 5588 6096 8382 11176 16764 22352 33528 44417 67056 80929 88834 133251 161858 177668 242787 266502 323716 355336 485574 488587 533004 647432 710672 890219 971148 977174 1066008 1294864 1465761 1780438 1942296 1954348 2132016 2670657 2931522 3560876 3884592 3908696 5341314 5640959 5863044 7121752 7817392 10277983 10682628 11281918 11726088 14243504 16922877 20555966 21365256 22563836 23452176 30833949 33845754 41111932 42730512 45127672 61667898 62050549 67691508 82223864 90255344 113057813 123335796 124101098 135383016 164447728 186151647 226115626 246671592 248202196 270766032 339173439 372303294 452231252 493343184 496404392 678346878 744606588 904462504 992808784 1356693756 1489213176 1808925008 2713387512 2978426352 3594623393 5426775024 7189246786 10783870179 14378493572 21567740358 28756987144 39540857323 43135480716 57513974288 79081714646 86270961432 118622571969 158163429292 172541922864 237245143938 316326858584 456517170911 474490287876 632653717168 913034341822 948980575752 1369551512733 1826068683644 1897961151504 2739103025466 3652137367288 5021688880021 5478206050932 7304274734576 10043377760042 10956412101864 15065066640063 20086755520084 21912824203728 30130133280126 40173511040168 60260266560252 80347022080336 120520533120504 241041066241008