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44042444200044 = 22324789292469813
BaseRepresentation
bin10100000001110011011100…
…01111011101100001101100
312202221102020122212110212200
422000321232033131201230
521233042411203400134
6233400453004501500
712163650552564243
oct1200715617354154
9182842218773780
1044042444200044
1113040328626414
124b3387954a890
131b76252938864
14ac394686d95a
155159a2066499
hex280e6e3dd86c

44042444200044 has 72 divisors (see below), whose sum is σ = 114975733279680. Its totient is φ = 14207013587712.

The previous prime is 44042444199983. The next prime is 44042444200123. The reversal of 44042444200044 is 44000244424044.

44042444200044 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 2 + 444 + 200 + 0 + 4 + 4 = 666.

44042444200044 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×440424442000442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44042444199981 and 44042444200008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146084319 + ... + 146385494.

It is an arithmetic number, because the mean of its divisors is an integer number (1596885184440).

Almost surely, 244042444200044 is an apocalyptic number.

It is an amenable number.

44042444200044 is an abundant number, since it is smaller than the sum of its proper divisors (70933289079636).

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

44042444200044 is a wasteful number, since it uses less digits than its factorization.

44042444200044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292469959 (or 292469954 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44042444200044 its reverse (44000244424044), we get a palindrome (88042688624088).

The spelling of 44042444200044 in words is "forty-four trillion, forty-two billion, four hundred forty-four million, two hundred thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 89 94 141 178 188 267 282 356 423 534 564 801 846 1068 1602 1692 3204 4183 8366 12549 16732 25098 37647 50196 75294 150588 292469813 584939626 877409439 1169879252 1754818878 2632228317 3509637756 5264456634 10528913268 13746081211 26029813357 27492162422 41238243633 52059626714 54984324844 78089440071 82476487266 104119253428 123714730899 156178880142 164952974532 234268320213 247429461798 312357760284 468536640426 494858923596 937073280852 1223401227779 2446802455558 3670203683337 4893604911116 7340407366674 11010611050011 14680814733348 22021222100022 44042444200044