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444241440444445 = 57223312197941453
BaseRepresentation
bin110010100000010010000010…
…1010000001001000000011101
32011020221001210210200012200121
41211000210011100021000131
5431211422432223210240
64212453411135554541
7162400246011641500
oct14500440520110035
92136831723605617
10444241440444445
11119604811864826
12419a8b7368ba51
13160b5a32552047
147b9b586b51137
153655b1544504a
hex194090540901d

444241440444445 has 144 divisors (see below), whose sum is σ = 668987848932480. Its totient is φ = 281829654247680.

The previous prime is 444241440444433. The next prime is 444241440444469. The reversal of 444241440444445 is 544444044142444.

It is not a de Polignac number, because 444241440444445 - 227 = 444241306226717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444241440444392 and 444241440444401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10716729339 + ... + 10716770791.

It is an arithmetic number, because the mean of its divisors is an integer number (4645748950920).

Almost surely, 2444241440444445 is an apocalyptic number.

It is an amenable number.

444241440444445 is a deficient number, since it is larger than the sum of its proper divisors (224746408488035).

444241440444445 is a wasteful number, since it uses less digits than its factorization.

444241440444445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43536 (or 43498 counting only the distinct ones).

The product of its (nonzero) digits is 41943040, while the sum is 52.

Adding to 444241440444445 its reverse (544444044142444), we get a palindrome (988685484586889).

The spelling of 444241440444445 in words is "four hundred forty-four trillion, two hundred forty-one billion, four hundred forty million, four hundred forty-four thousand, four hundred forty-five".

Divisors: 1 5 7 23 31 35 49 115 155 161 217 245 713 805 961 1085 1127 1519 1979 3565 4805 4991 5635 6727 7595 9895 13853 22103 24955 33635 34937 41453 45517 47089 61349 69265 96971 110515 154721 174685 207265 227585 235445 290171 306745 318619 429443 484855 773605 953419 1083047 1285043 1411027 1450855 1593095 1901819 2031197 2147215 2230333 3006101 4767095 5415235 6425215 6673933 7055135 8995301 9509095 9877189 10155985 11151665 13312733 15030505 29555989 33369665 39836333 43741837 44976505 46717531 49385945 62967107 66563665 69140323 82035487 93189131 147779945 199181665 206891923 218709185 233587655 278854331 306192859 314835535 345701615 410177435 465945655 574248409 916235659 1034459615 1394271655 1448243461 1530964295 1886816201 1951980317 2143350013 2543100097 2871242045 4019738863 4581178295 6413649613 7241217305 9434081005 9759901585 10716750065 12715500485 13207713407 17801700679 20098694315 32068248065 44895547291 58491302231 66038567035 78836103007 89008503395 92453993849 124611904753 224477736455 292456511155 394180515035 409439115617 462269969245 551852721049 623059523765 1813230369161 2047195578085 2759263605245 2866073809319 3862969047343 9066151845805 12692612584127 14330369046595 19314845236715 63463062920635 88848288088889 444241440444445