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3441007066805 = 5711194710939157
BaseRepresentation
bin110010000100101100000…
…000001111111010110101
3110011221211200212110212222
4302010230000033322311
5422334140302114210
611152435443252125
7503414235321530
oct62045400177265
913157750773788
103441007066805
111107360867330
12476a8237a045
131bc640a633c9
14bc78d2d3a17
155e79624e655
hex3212c00feb5

3441007066805 has 128 divisors (see below), whose sum is σ = 5540024401920. Its totient is φ = 1986872509440.

The previous prime is 3441007066801. The next prime is 3441007066823. The reversal of 3441007066805 is 5086607001443.

It is not a de Polignac number, because 3441007066805 - 22 = 3441007066801 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441007066801) 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 127 ways as a sum of consecutive naturals, for example, 375774287 + ... + 375783443.

It is an arithmetic number, because the mean of its divisors is an integer number (43281440640).

Almost surely, 23441007066805 is an apocalyptic number.

3441007066805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3441007066805 is a deficient number, since it is larger than the sum of its proper divisors (2099017335115).

3441007066805 is a wasteful number, since it uses less digits than its factorization.

3441007066805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 3441007066805 in words is "three trillion, four hundred forty-one billion, seven million, sixty-six thousand, eight hundred five".

Divisors: 1 5 7 11 19 35 47 55 77 95 133 209 235 329 385 517 665 893 1045 1093 1463 1645 2585 3619 4465 5465 6251 7315 7651 9157 9823 12023 18095 20767 31255 38255 45785 49115 51371 60115 64099 68761 84161 100727 103835 145369 173983 228437 256855 320495 343805 359597 420805 430379 503635 565081 705089 726845 869915 976049 1142185 1217881 1599059 1797985 1913813 2151895 2825405 3012653 3525445 3955567 4734169 4880245 6089405 6832343 7995295 8177201 9569065 10008601 10736539 13396691 15063265 19777835 23670845 33139183 34161715 40886005 50043005 53682695 57240407 66983455 70060207 75155773 89949211 110094611 165695915 190163419 286202035 350301035 375778865 449746055 470404247 550473055 629644477 770662277 950817095 1331143933 2091797609 2352021235 3148222385 3292829729 3853311385 5174446717 6655719665 8937680693 10458988045 14642583263 16464148645 25872233585 36221127019 44688403465 62563764851 73212916315 98314487623 181105635095 312818824255 491572438115 688201413361 3441007066805