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4441214114244 = 22321927123959421
BaseRepresentation
bin100000010100000110011…
…1111010101100111000100
3120201120112211220000001200
41000220030333111213010
51040231101303123434
613240133211422500
7635603266046445
oct100501477254704
916646484800050
104441214114244
111462565649006
125b88a1754a30
13262a5cbb2c0b
14114d550352cc
157a7d5c63199
hex40a0cfd59c4

4441214114244 has 72 divisors (see below), whose sum is σ = 11860872266880. Its totient is φ = 1397313374400.

The previous prime is 4441214114243. The next prime is 4441214114257. The reversal of 4441214114244 is 4424114121444.

4441214114244 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 214 + 11 + 424 + 4 = 666.

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

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 = 4441214114199 and 4441214114208.

It is not an unprimeable number, because it can be changed into a prime (4441214114243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11794347 + ... + 12165074.

It is an arithmetic number, because the mean of its divisors is an integer number (164734337040).

Almost surely, 24441214114244 is an apocalyptic number.

It is an amenable number.

4441214114244 is an abundant number, since it is smaller than the sum of its proper divisors (7419658152636).

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

4441214114244 is a wasteful number, since it uses less digits than its factorization.

4441214114244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23959721 (or 23959716 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

Adding to 4441214114244 its reverse (4424114121444), we get a palindrome (8865328235688).

The spelling of 4441214114244 in words is "four trillion, four hundred forty-one billion, two hundred fourteen million, one hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 271 342 542 684 813 1084 1626 2439 3252 4878 5149 9756 10298 15447 20596 30894 46341 61788 92682 185364 23959421 47918842 71878263 95837684 143756526 215634789 287513052 431269578 455228999 862539156 910457998 1365686997 1820915996 2731373994 4097060991 5462747988 6493003091 8194121982 12986006182 16388243964 19479009273 25972012364 38958018546 58437027819 77916037092 116874055638 123367058729 233748111276 246734117458 370101176187 493468234916 740202352374 1110303528561 1480404704748 2220607057122 4441214114244