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304303232304144 = 243214461146132141
BaseRepresentation
bin100010100110000110001111…
…0000100001100010000010000
31110220110002211110201101020200
41011030030132010030100100
5304341201004432213034
62555110550334535200
7121045116526522023
oct10514143604142020
91426402743641220
10304303232304144
1188a62304515327
122a168008967500
13100a489689b648
1455204d82b11ba
15252a95ab57a99
hex114c31e10c410

304303232304144 has 60 divisors (see below), whose sum is σ = 851685304154412. Its totient is φ = 101427395731200.

The previous prime is 304303232304143. The next prime is 304303232304167. The reversal of 304303232304144 is 441403232303403.

304303232304144 is a `hidden beast` number, since 3 + 0 + 4 + 3 + 0 + 3 + 2 + 3 + 230 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37931063792400 + 266372168511744 = 6158820^2 + 16320912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304303232304099 and 304303232304108.

It is not an unprimeable number, because it can be changed into a prime (304303232304143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70983687 + ... + 75148454.

Almost surely, 2304303232304144 is an apocalyptic number.

It is an amenable number.

304303232304144 is an abundant number, since it is smaller than the sum of its proper divisors (547382071850268).

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

304303232304144 is a wasteful number, since it uses less digits than its factorization.

304303232304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146146616 (or 146146607 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 304303232304144 its reverse (441403232303403), we get a palindrome (745706464607547).

The spelling of 304303232304144 in words is "three hundred four trillion, three hundred three billion, two hundred thirty-two million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14461 28922 43383 57844 86766 115688 130149 173532 231376 260298 347064 520596 694128 1041192 2082384 146132141 292264282 438396423 584528564 876792846 1169057128 1315189269 1753585692 2338114256 2630378538 3507171384 5260757076 7014342768 10521514152 21043028304 2113216891001 4226433782002 6339650673003 8452867564004 12679301346006 16905735128008 19018952019009 25358602692012 33811470256016 38037904038018 50717205384024 76075808076036 101434410768048 152151616152072 304303232304144