Search a number
-
+
44442220244001 = 3314792903343661
BaseRepresentation
bin10100001101011100000101…
…10000000010110000100001
312211100122010202000200221020
422012232002300002300201
521311120131340302001
6234304250224520053
712234562435104216
oct1206560260026041
9184318122020836
1044442220244001
11131849267a3278
124b99249780029
131ba4b63a52918
14ad902cdb5b0d
1552109de72736
hex286b82c02c21

44442220244001 has 32 divisors (see below), whose sum is σ = 61316778885120. Its totient is φ = 28602601857600.

The previous prime is 44442220243979. The next prime is 44442220244053. The reversal of 44442220244001 is 10044202224444.

It is not a de Polignac number, because 44442220244001 - 210 = 44442220242977 is a prime.

It is a super-3 number, since 3×444422202440013 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (44442220245001) 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, 129148111 + ... + 129491771.

It is an arithmetic number, because the mean of its divisors is an integer number (1916149340160).

Almost surely, 244442220244001 is an apocalyptic number.

It is an amenable number.

44442220244001 is a deficient number, since it is larger than the sum of its proper divisors (16874558641119).

44442220244001 is a wasteful number, since it uses less digits than its factorization.

44442220244001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347077.

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 44442220244001 its reverse (10044202224444), we get a palindrome (54486422468445).

The spelling of 44442220244001 in words is "forty-four trillion, four hundred forty-two billion, two hundred twenty million, two hundred forty-four thousand, one".

Divisors: 1 3 31 93 479 1437 2903 8709 14849 44547 89993 269979 343661 1030983 1390537 4171611 10653491 31960473 43106647 129319941 164613619 493840857 997647883 2992943649 5103022189 15309066567 30927084373 92781253119 477873335957 1433620007871 14814073414667 44442220244001