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334434143241444 = 223276740427249143
BaseRepresentation
bin100110000001010101000010…
…0010011110000010011100100
31121212010120222110102210102010
41030002222010103300103210
5322313332111132211234
63143140531401514220
7130305032556636411
oct11402520423602344
91555116873383363
10334434143241444
11976197a61a8154
12316136b1aa2970
131147c00983816c
145c829adacd108
15289e5ed7326e9
hex1302a844f04e4

334434143241444 has 48 divisors (see below), whose sum is σ = 780650796054528. Its totient is φ = 111434555539488.

The previous prime is 334434143241409. The next prime is 334434143241491. The reversal of 334434143241444 is 444142341434433.

It is a super-2 number, since 2×3344341432414442 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 334434143241393 and 334434143241402.

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, 1342213537 + ... + 1342462679.

It is an arithmetic number, because the mean of its divisors is an integer number (16263558251136).

Almost surely, 2334434143241444 is an apocalyptic number.

It is an amenable number.

334434143241444 is an abundant number, since it is smaller than the sum of its proper divisors (446216652813084).

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

334434143241444 is a wasteful number, since it uses less digits than its factorization.

334434143241444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292344 (or 292342 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 48.

Adding to 334434143241444 its reverse (444142341434433), we get a palindrome (778576484675877).

The spelling of 334434143241444 in words is "three hundred thirty-four trillion, four hundred thirty-four billion, one hundred forty-three million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 2767 5534 8301 11068 16602 33204 40427 80854 121281 161708 242562 249143 485124 498286 747429 996572 1494858 2989716 111861509 223723018 335584527 447446036 671169054 689378681 1342338108 1378757362 2068136043 2757514724 4136272086 8272544172 10072104061 20144208122 30216312183 40288416244 60432624366 120865248732 27869511936787 55739023873574 83608535810361 111478047747148 167217071620722 334434143241444