Search a number
-
+
304141001134104 = 2332311278271297393
BaseRepresentation
bin100010100100111010101100…
…0010101011001000000011000
31110212212121002022011001100100
41011021311120111121000120
5304331021232242242404
62554504240321535400
7121030314351365631
oct10511653025310030
91425777068131310
10304141001134104
11889aa524223092
122a140691aa4560
13100924b1308984
145516708328888
152526613392d39
hex1149d58559018

304141001134104 has 192 divisors, whose sum is σ = 858018755543040. Its totient is φ = 97219706250240.

The previous prime is 304141001134013. The next prime is 304141001134121. The reversal of 304141001134104 is 401431100141403.

304141001134104 is a `hidden beast` number, since 3 + 0 + 414 + 10 + 0 + 1 + 134 + 104 = 666.

It is a super-2 number, since 2×3041410011341042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233776032 + ... + 235073424.

It is an arithmetic number, because the mean of its divisors is an integer number (4468847685120).

Almost surely, 2304141001134104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304141001134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429009377771520).

304141001134104 is an abundant number, since it is smaller than the sum of its proper divisors (553877754408936).

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

304141001134104 is a wasteful number, since it uses less digits than its factorization.

304141001134104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298390 (or 1298383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 304141001134104 its reverse (401431100141403), we get a palindrome (705572101275507).

The spelling of 304141001134104 in words is "three hundred four trillion, one hundred forty-one billion, one million, one hundred thirty-four thousand, one hundred four".