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3340340070705 = 3751149095657
BaseRepresentation
bin110000100110111011110…
…010001000100100110001
3102211100000001011020000000
4300212323302020210301
5414212004024230310
611034310412220213
7463221512061141
oct60467362104461
912740001136000
103340340070705
1110786a2984190
1245b46916a669
131b2cb9ccb921
14b795d84a921
155bd536b14c0
hex309bbc88931

3340340070705 has 128 divisors (see below), whose sum is σ = 6560709004800. Its totient is φ = 1618942671360.

The previous prime is 3340340070689. The next prime is 3340340070707. The reversal of 3340340070705 is 5070700430433.

It is not a de Polignac number, because 3340340070705 - 24 = 3340340070689 is a prime.

It is a super-2 number, since 2×33403400707052 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3340340070705.

It is not an unprimeable number, because it can be changed into a prime (3340340070707) 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, 590476237 + ... + 590481893.

It is an arithmetic number, because the mean of its divisors is an integer number (51255539100).

Almost surely, 23340340070705 is an apocalyptic number.

It is an amenable number.

3340340070705 is a deficient number, since it is larger than the sum of its proper divisors (3220368934095).

3340340070705 is an equidigital number, since it uses as much as digits as its factorization.

3340340070705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The spelling of 3340340070705 in words is "three trillion, three hundred forty billion, three hundred forty million, seventy thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 729 891 1215 1485 2187 2673 3645 4455 4909 5657 8019 10935 13365 14727 16971 24057 24545 28285 40095 44181 50913 53999 62227 73635 84855 120285 132543 152739 161997 186681 220905 254565 269995 311135 397629 458217 485991 560043 662715 763695 809985 933405 1192887 1374651 1457973 1680129 1988145 2291085 2429955 2800215 3578661 4123953 4373919 5040387 5964435 6873255 7289865 8400645 10735983 12371859 13121757 15121161 17893305 20619765 21869595 25201935 27770213 39365271 45363483 53679915 61859295 65608785 75605805 83310639 118095813 136090449 138851065 196826355 226817415 249931917 305472343 416553195 590479065 680452245 749795751 916417029 1249659585 1527361715 2249387253 2749251087 3748978755 4582085145 6748161759 8247753261 11246936265 13746255435 20244485277 24743259783 33740808795 41238766305 60733455831 74229779349 101222426385 123716298915 222689338047 303667279155 371148896745 668068014141 1113446690235 3340340070705