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444317319559020 = 223530734471699761
BaseRepresentation
bin110010100000110101010111…
…1111111111111011101101100
32011021012022122221121121121110
41211001222233333333131230
5431214143332301342040
64212552320404432020
7162405603244530045
oct14501525777773554
92137168587547543
10444317319559020
11119633a0a620676
12419bb80b3a8610
13160bcc359bb4cb
147ba11044a98cc
153657aa6c60980
hex1941aaffff76c

444317319559020 has 96 divisors (see below), whose sum is σ = 1248178892438016. Its totient is φ = 118095080371200.

The previous prime is 444317319558949. The next prime is 444317319559109. The reversal of 444317319559020 is 20955913713444.

It is a super-2 number, since 2×4443173195590202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634605940 + ... + 635305700.

It is an arithmetic number, because the mean of its divisors is an integer number (13001863462896).

Almost surely, 2444317319559020 is an apocalyptic number.

It is an amenable number.

444317319559020 is an abundant number, since it is smaller than the sum of its proper divisors (803861572878996).

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

444317319559020 is a wasteful number, since it uses less digits than its factorization.

444317319559020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734551 (or 734549 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 444317319559020 in words is "four hundred forty-four trillion, three hundred seventeen billion, three hundred nineteen million, five hundred fifty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 307 614 921 1228 1535 1842 3070 3684 4605 6140 9210 18420 34471 68942 103413 137884 172355 206826 344710 413652 517065 689420 699761 1034130 1399522 2068260 2099283 2799044 3498805 4198566 6997610 8397132 10496415 10582597 13995220 20992830 21165194 31747791 41985660 42330388 52912985 63495582 105825970 126991164 158738955 211651940 214826627 317477910 429653254 634955820 644479881 859306508 1074133135 1288959762 2148266270 2577919524 3222399405 4296532540 6444798810 12889597620 24121461431 48242922862 72364384293 96485845724 120607307155 144728768586 241214614310 289457537172 361821921465 482429228620 723643842930 1447287685860 7405288659317 14810577318634 22215865977951 29621154637268 37026443296585 44431731955902 74052886593170 88863463911804 111079329889755 148105773186340 222158659779510 444317319559020