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3443242332114 = 234133198353653
BaseRepresentation
bin110010000110110001001…
…111000110111111010010
3110012011121110220201110000
4302012301033012333102
5422403230014111424
611153445332550430
7503523516626154
oct62066117067722
913164543821400
103443242332114
1111082a8593232
124773a6a82416
131bc908b914c0
14bc922110ad4
155e8775d53c9
hex321b13c6fd2

3443242332114 has 160 divisors (see below), whose sum is σ = 8585821246464. Its totient is φ = 1024220972160.

The previous prime is 3443242332107. The next prime is 3443242332137. The reversal of 3443242332114 is 4112332423443.

3443242332114 is a `hidden beast` number, since 3 + 4 + 4 + 324 + 2 + 3 + 321 + 1 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64149312 + ... + 64202964.

Almost surely, 23443242332114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3443242332114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292910623232).

3443242332114 is an abundant number, since it is smaller than the sum of its proper divisors (5142578914350).

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

3443242332114 is a wasteful number, since it uses less digits than its factorization.

3443242332114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54694 (or 54685 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 3443242332114 its reverse (4112332423443), we get a palindrome (7555574755557).

The spelling of 3443242332114 in words is "three trillion, four hundred forty-three billion, two hundred forty-two million, three hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 279 351 403 558 702 806 837 983 1053 1209 1674 1966 2106 2418 2511 2949 3627 5022 5898 7254 8847 10881 12779 17694 21762 25558 26541 30473 32643 38337 53082 53653 60946 65286 76674 79623 91419 107306 115011 159246 160959 182838 230022 274257 321918 345033 396149 482877 548514 690066 697489 792298 822771 965754 1035099 1188447 1394978 1448631 1645542 1663243 2070198 2092467 2376894 2468313 2897262 3326486 3565341 4184934 4345893 4936626 4989729 6277401 7130682 8691786 9979458 10696023 12554802 14969187 18832203 21392046 21622159 29938374 32088069 37664406 43244318 44907561 52740899 56496609 64176138 64866477 89815122 105481798 112993218 129732954 134722683 158222697 194599431 269445366 316445394 389198862 474668091 583798293 685631687 949336182 1167596586 1371263374 1424004273 1634967869 1751394879 2056895061 2848008546 3269935738 3502789758 4113790122 4272012819 4904903607 6170685183 8544025638 9809807214 12341370366 14714710821 18512055549 21254582297 29429421642 37024111098 42509164594 44144132463 55536166647 63763746891 88288264926 111072333294 127527493782 132432397389 191291240673 264864794778 382582481346 573873722019 1147747444038 1721621166057 3443242332114