Search a number
-
+
344334525433444 = 2271319794271111919
BaseRepresentation
bin100111001001010111010000…
…1000100101000011001100100
31200011012001121010012001212001
41032102232201010220121210
5330113034102002332234
63220201032555335044
7132346230352030630
oct11622564104503144
91604161533161761
10344334525433444
119a7964a7908627
1232752407a51484
1311a197b63cba60
146105c46847dc0
1529c1de7c82d14
hex1392ba1128664

344334525433444 has 96 divisors (see below), whose sum is σ = 742198715596800. Its totient is φ = 136118324603520.

The previous prime is 344334525433441. The next prime is 344334525433511. The reversal of 344334525433444 is 444334525433443.

It is a super-3 number, since 3×3443345254334443 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (344334525433441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3076584517 + ... + 3076696435.

It is an arithmetic number, because the mean of its divisors is an integer number (7731236620800).

Almost surely, 2344334525433444 is an apocalyptic number.

It is an amenable number.

344334525433444 is an abundant number, since it is smaller than the sum of its proper divisors (397864190163356).

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

344334525433444 is a wasteful number, since it uses less digits than its factorization.

344334525433444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118193 (or 118191 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 55.

Subtracting 344334525433444 from its reverse (444334525433443), we obtain a palindrome (99999999999999).

The spelling of 344334525433444 in words is "three hundred forty-four trillion, three hundred thirty-four billion, five hundred twenty-five million, four hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 1979 3958 4271 7916 8542 13853 17084 25727 27706 29897 51454 55412 55523 59794 102908 111046 111919 119588 180089 222092 223838 360178 388661 447676 720356 777322 783433 1454947 1554644 1566866 2909894 3133732 5819788 8452309 10184629 16904618 20369258 33809236 40738516 59166163 109880017 118332326 219760034 221487701 236664652 439520068 442975402 478006049 769160119 885950804 956012098 1538320238 1550413907 1912024196 2879340113 3076640476 3100827814 3346042343 5758680226 6201655628 6214078637 6692084686 11517360452 12428157274 13384169372 20155380791 24856314548 40310761582 43498550459 80621523164 86997100918 173994201836 945973970971 1891947941942 3783895883884 6621817796797 12297661622623 13243635593594 24595323245246 26487271187188 49190646490492 86083631358361 172167262716722 344334525433444