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444242202242444 = 221931834320752579
BaseRepresentation
bin110010100000010010011001…
…0101010001010110110001100
32011020221010202220010120002022
41211000210302222022312030
5431211431012233224234
64212454014511545312
7162400303622056064
oct14500446252126614
92136833686116068
10444242202242444
11119605072882951
12419a914682b238
13160b5b2431a8a8
147b9b619db43a4
153655b5c272e2e
hex1940932a8ad8c

444242202242444 has 96 divisors (see below), whose sum is σ = 854952617164800. Its totient is φ = 201180429622080.

The previous prime is 444242202242431. The next prime is 444242202242543.

444242202242444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4442422022424442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444242202242395 and 444242202242404.

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, 8449016147 + ... + 8449068725.

It is an arithmetic number, because the mean of its divisors is an integer number (8905756428800).

Almost surely, 2444242202242444 is an apocalyptic number.

It is an amenable number.

444242202242444 is a deficient number, since it is larger than the sum of its proper divisors (410710414922356).

444242202242444 is a wasteful number, since it uses less digits than its factorization.

444242202242444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95923 (or 95921 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 44.

It can be divided in two parts, 44424220 and 2242444, that added together give a palindrome (46666664).

The spelling of 444242202242444 in words is "four hundred forty-four trillion, two hundred forty-two billion, two hundred two million, two hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 19 31 38 62 76 83 124 166 332 589 1178 1577 2356 2573 3154 5146 6308 10292 43207 48887 52579 86414 97774 105158 172828 195548 210316 820933 999001 1339417 1629949 1641866 1998002 2678834 3259898 3283732 3586181 3996004 4364057 5357668 6519796 7172362 8728114 14344724 17456228 25448923 30969031 50897846 61938062 68137439 82917083 101795692 111171611 123876124 135285767 136274878 165834166 222343222 270571534 272549756 331668332 444686444 541143068 2112260609 2271780853 2570429573 4224521218 4543561706 5140859146 8449042436 9087123412 10281718292 43163836207 70425206443 86327672414 140850412886 172655344828 188557810799 281700825772 377115621598 754231243196 1338078922417 2676157844834 3582598405181 5352315689668 5845292134769 7165196810362 11690584269538 14330393620724 23381168539076 111060550560611 222121101121222 444242202242444