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444141211205220 = 223537414879600211
BaseRepresentation
bin110010011111100011010111…
…1000111111011111001100100
32011020120111002122200022100020
41210333012233013323321210
5431203302200032031340
64212335353343315140
7162360100152316164
oct14477065707737144
92136514078608306
10444141211205220
11119576258a95921
1241991660babab0
13160a944b3bb6b9
147b9679949a5a4
1536531eb0279d0
hex193f1af1fbe64

444141211205220 has 96 divisors (see below), whose sum is σ = 1308357445643136. Its totient is φ = 112425988838400.

The previous prime is 444141211205203. The next prime is 444141211205227. The reversal of 444141211205220 is 22502112141444.

It is a happy number.

It is a super-2 number, since 2×4441412112052202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444141211205227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2439709086 + ... + 2439891125.

It is an arithmetic number, because the mean of its divisors is an integer number (13628723392116).

Almost surely, 2444141211205220 is an apocalyptic number.

It is an amenable number.

444141211205220 is an abundant number, since it is smaller than the sum of its proper divisors (864216234437916).

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

444141211205220 is a wasteful number, since it uses less digits than its factorization.

444141211205220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879600301 (or 4879600299 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 444141211205220 its reverse (22502112141444), we get a palindrome (466643323346664).

The spelling of 444141211205220 in words is "four hundred forty-four trillion, one hundred forty-one billion, two hundred eleven million, two hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 123 148 164 185 205 222 246 370 410 444 492 555 615 740 820 1110 1230 1517 2220 2460 3034 4551 6068 7585 9102 15170 18204 22755 30340 45510 91020 4879600211 9759200422 14638800633 19518400844 24398001055 29277601266 48796002110 58555202532 73194003165 97592004220 146388006330 180545207807 200063608651 292776012660 361090415614 400127217302 541635623421 600190825953 722180831228 800254434604 902726039035 1000318043255 1083271246842 1200381651906 1805452078070 2000636086510 2166542493684 2400763303812 2708178117105 3000954129765 3610904156140 4001272173020 5416356234210 6001908259530 7402353520087 10832712468420 12003816519060 14804707040174 22207060560261 29609414080348 37011767600435 44414121120522 74023535200870 88828242241044 111035302801305 148047070401740 222070605602610 444141211205220