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444212121212444 = 221397211874156673
BaseRepresentation
bin110010100000000100011000…
…1101100001001011000011100
32011020211021010111100220110002
41211000020301230021120130
5431210432411012244234
64212432121543033432
7162365160316404134
oct14500106154113034
92136737114326402
10444212121212444
111195a3336924882
12419a335073b878
13160b303c224660
147b99da4cb5ac4
153654e9b49027e
hex1940231b0961c

444212121212444 has 48 divisors (see below), whose sum is σ = 845839730070048. Its totient is φ = 202897734893568.

The previous prime is 444212121212407. The next prime is 444212121212591.

444212121212444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444212121212398 and 444212121212407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104788892 + ... + 108945564.

It is an arithmetic number, because the mean of its divisors is an integer number (17621661043126).

Almost surely, 2444212121212444 is an apocalyptic number.

It is an amenable number.

444212121212444 is a deficient number, since it is larger than the sum of its proper divisors (401627608857604).

444212121212444 is a wasteful number, since it uses less digits than its factorization.

444212121212444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177974 (or 4177972 counting only the distinct ones).

The product of its digits is 131072, while the sum is 38.

The spelling of 444212121212444 in words is "four hundred forty-four trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 97 194 388 1261 2522 5044 21187 42374 84748 275431 550862 1101724 2055139 4110278 4156673 8220556 8313346 16626692 26716807 53433614 54036749 106867228 108073498 216146996 403197281 806394562 1612789124 5241564653 10483129306 20966258612 88067430851 176134861702 352269723404 1144876601063 2289753202126 4579506404252 8542540792547 17085081585094 34170163170188 111053030303111 222106060606222 444212121212444