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304344141444 = 223277316544039
BaseRepresentation
bin1000110110111000101…
…00110000111010000100
31002002120021012021111200
410123130110300322010
514441244100011234
6351451435102500
730662634342630
oct4333424607204
91062507167450
10304344141444
11108087374042
124ab982a1a30
1322912b349c5
1410a32079dc0
157db3c61d99
hex46dc530e84

304344141444 has 72 divisors (see below), whose sum is σ = 891260522880. Its totient is φ = 85764292992.

The previous prime is 304344141421. The next prime is 304344141499. The reversal of 304344141444 is 444141443403.

304344141444 is a `hidden beast` number, since 30 + 4 + 3 + 44 + 141 + 444 = 666.

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 = 304344141399 and 304344141408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8253624 + ... + 8290415.

Almost surely, 2304344141444 is an apocalyptic number.

It is an amenable number.

304344141444 is an abundant number, since it is smaller than the sum of its proper divisors (586916381436).

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

304344141444 is a wasteful number, since it uses less digits than its factorization.

304344141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16544129 (or 16544124 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 304344141444 its reverse (444141443403), we get a palindrome (748485584847).

The spelling of 304344141444 in words is "three hundred four billion, three hundred forty-four million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 9198 18396 16544039 33088078 49632117 66176156 99264234 115808273 148896351 198528468 231616546 297792702 347424819 463233092 595585404 694849638 1042274457 1207714847 1389699276 2084548914 2415429694 3623144541 4169097828 4830859388 7246289082 8454003929 10869433623 14492578164 16908007858 21738867246 25362011787 33816015716 43477734492 50724023574 76086035361 101448047148 152172070722 304344141444