Search a number
-
+
341342110434144 = 25319386348444037
BaseRepresentation
bin100110110011100101110011…
…1001111010100001101100000
31122202120222122120102202021210
41031213023213033110031200
5324220022120232343034
63205550222320550120
7131620103463151311
oct11547134717241540
91582528576382253
10341342110434144
119984241562a176
123234a47a182340
131186056614b461
14604109106c608
15296e1593b18e9
hex13672e73d4360

341342110434144 has 96 divisors (see below), whose sum is σ = 943426324673280. Its totient is φ = 107764339410432.

The previous prime is 341342110434119. The next prime is 341342110434173. The reversal of 341342110434144 is 441434011243143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3413421104341442 (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 15 ways as a sum of consecutive naturals, for example, 17175907 + ... + 31268130.

It is an arithmetic number, because the mean of its divisors is an integer number (9827357548680).

Almost surely, 2341342110434144 is an apocalyptic number.

It is an amenable number.

341342110434144 is an abundant number, since it is smaller than the sum of its proper divisors (602084214239136).

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

341342110434144 is a wasteful number, since it uses less digits than its factorization.

341342110434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48447932 (or 48447924 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 341342110434144 its reverse (441434011243143), we get a palindrome (782776121677287).

The spelling of 341342110434144 in words is "three hundred forty-one trillion, three hundred forty-two billion, one hundred ten million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3863 7726 11589 15452 23178 30904 46356 61808 73397 92712 123616 146794 185424 220191 293588 370848 440382 587176 880764 1174352 1761528 2348704 3523056 7046112 48444037 96888074 145332111 193776148 290664222 387552296 581328444 775104592 920436703 1162656888 1550209184 1840873406 2325313776 2761310109 3681746812 4650627552 5522620218 7363493624 11045240436 14726987248 22090480872 29453974496 44180961744 88361923488 187139314931 374278629862 561417944793 748557259724 1122835889586 1497114519448 2245671779172 2994229038896 3555646983689 4491343558344 5988458077792 7111293967378 8982687116688 10666940951067 14222587934756 17965374233376 21333881902134 28445175869512 42667763804268 56890351739024 85335527608536 113780703478048 170671055217072 341342110434144