Search a number
-
+
340044241021110 = 23355349194830799
BaseRepresentation
bin100110101010001001011100…
…0001100011010100010110110
31122120222220121211011022221000
41031110102320030122202312
5324032241101200133420
63203114100123104130
7131424246201155463
oct11524227014324266
91576886554138830
10340044241021110
1199391a5313755a
123217aa28372046
131179805a591082
145dd832c85266a
15294a4e7546690
hex13544b831a8b6

340044241021110 has 128 divisors (see below), whose sum is σ = 924081799680000. Its totient is φ = 88949444927616.

The previous prime is 340044241021091. The next prime is 340044241021139. The reversal of 340044241021110 is 11120142440043.

340044241021110 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 4 + 424 + 10 + 211 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67975491 + ... + 72806289.

It is an arithmetic number, because the mean of its divisors is an integer number (7219389060000).

Almost surely, 2340044241021110 is an apocalyptic number.

340044241021110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340044241021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462040899840000).

340044241021110 is an abundant number, since it is smaller than the sum of its proper divisors (584037558658890).

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

340044241021110 is a wasteful number, since it uses less digits than its factorization.

340044241021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835787 (or 4835781 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 340044241021110 its reverse (11120142440043), we get a palindrome (351164383461153).

The spelling of 340044241021110 in words is "three hundred forty trillion, forty-four billion, two hundred forty-one million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 4919 7155 9838 14310 14757 24595 29514 44271 49190 73785 88542 132813 147570 221355 260707 265626 442710 521414 664065 782121 1303535 1328130 1564242 2346363 2607070 3910605 4692726 4830799 7039089 7821210 9661598 11731815 14078178 14492397 23463630 24153995 28984794 35195445 43477191 48307990 70390890 72461985 86954382 130431573 144923970 217385955 256032347 260863146 434771910 512064694 652157865 768097041 1280161735 1304315730 1536194082 2304291123 2560323470 3840485205 4608582246 6912873369 7680970410 11521455615 13825746738 23042911230 23762700281 34564366845 47525400562 69128733690 71288100843 118813501405 142576201686 213864302529 237627002810 356440504215 427728605058 641592907587 712881008430 1069321512645 1259423114893 1283185815174 2138643025290 2518846229786 3207964537935 3778269344679 6297115574465 6415929075870 7556538689358 11334808034037 12594231148930 18891346723395 22669616068074 34004424102111 37782693446790 56674040170185 68008848204222 113348080340370 170022120510555 340044241021110