Search a number
-
+
304241142010140 = 223352339924078359
BaseRepresentation
bin100010100101101001010100…
…1001100100001000100011100
31110220020011120021212122012000
41011023102221030201010130
5304334141324323311030
62555022241240242300
7121040461055653506
oct10513225114410434
91426204507778160
10304241142010140
1188a38a42129465
122a157b7aa70390
131009ba800713ca
14551b4c7d7ad76
152529024b58860
hex114b4a932111c

304241142010140 has 96 divisors (see below), whose sum is σ = 946568488320000. Its totient is φ = 81127500549696.

The previous prime is 304241142010109. The next prime is 304241142010187. The reversal of 304241142010140 is 41010241142403.

304241142010140 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 411 + 4 + 201 + 0 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 596281 + ... + 24674639.

It is an arithmetic number, because the mean of its divisors is an integer number (9860088420000).

Almost surely, 2304241142010140 is an apocalyptic number.

304241142010140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304241142010140 is an abundant number, since it is smaller than the sum of its proper divisors (642327346309860).

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

304241142010140 is a wasteful number, since it uses less digits than its factorization.

304241142010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24101776 (or 24101768 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 304241142010140 its reverse (41010241142403), we get a palindrome (345251383152543).

The spelling of 304241142010140 in words is "three hundred four trillion, two hundred forty-one billion, one hundred forty-two million, ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 23399 46798 70197 93596 116995 140394 210591 233990 280788 350985 421182 467980 631773 701970 842364 1052955 1263546 1403940 2105910 2527092 3158865 4211820 6317730 12635460 24078359 48156718 72235077 96313436 120391795 144470154 216705231 240783590 288940308 361175385 433410462 481567180 650115693 722350770 866820924 1083526155 1300231386 1444701540 2167052310 2600462772 3250578465 4334104620 6501156930 13002313860 563409522241 1126819044482 1690228566723 2253638088964 2817047611205 3380457133446 5070685700169 5634095222410 6760914266892 8451142833615 10141371400338 11268190444820 15212057100507 16902285667230 20282742800676 25353428500845 30424114201014 33804571334460 50706857001690 60848228402028 76060285502535 101413714003380 152120571005070 304241142010140