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444302304004230 = 23572695394346431
BaseRepresentation
bin110010100000101110011000…
…1000000001100100010000110
32011021010212220111012101202120
41211001130301000030202012
5431213422104311113410
64212541354413150410
7162404532165444300
oct14501346100144206
92137125814171676
10444302304004230
11119628604745061
12419b891a78b406
13160bb6b1b87449
147ba04bc196970
1536574c88c7570
hex194173100c886

444302304004230 has 96 divisors (see below), whose sum is σ = 1240437616773120. Its totient is φ = 101553328578240.

The previous prime is 444302304004199. The next prime is 444302304004271. The reversal of 444302304004230 is 32400403203444.

It is a junction number, because it is equal to n+sod(n) for n = 444302304004191 and 444302304004200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 100049115 + ... + 104395545.

It is an arithmetic number, because the mean of its divisors is an integer number (12921225174720).

Almost surely, 2444302304004230 is an apocalyptic number.

444302304004230 is an abundant number, since it is smaller than the sum of its proper divisors (796135312768890).

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

444302304004230 is a wasteful number, since it uses less digits than its factorization.

444302304004230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415994 (or 4415987 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 444302304004230 its reverse (32400403203444), we get a palindrome (476702707207674).

The spelling of 444302304004230 in words is "four hundred forty-four trillion, three hundred two billion, three hundred four million, four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 69539 139078 208617 347695 417234 486773 695390 973546 1043085 1460319 2086170 2433865 2920638 3407411 4346431 4867730 6814822 7301595 8692862 10222233 13039293 14603190 17037055 20444466 21732155 26078586 30425017 34074110 43464310 51111165 60850034 65196465 91275051 102222330 130392930 152125085 182550102 212975119 304250170 425950238 456375255 638925357 912750510 1064875595 1277850714 2129751190 3194626785 6389253570 302246465309 604492930618 906739395927 1511232326545 1813478791854 2115725257163 3022464653090 4231450514326 4533696979635 6347175771489 9067393959270 10578626285815 12694351542978 14810076800141 21157252571630 29620153600282 31735878857445 44430230400423 63471757714890 74050384000705 88860460800846 148100768001410 222151152002115 444302304004230