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4442044110021 = 34726611693169
BaseRepresentation
bin100000010100011111001…
…1101100001010011000101
3120201122200200200011020000
41000220332131201103011
51040234301243010041
613240351421231513
7635632664643300
oct100507635412305
916648620604200
104442044110021
111462951107131
125b8a93702599
13262b62b38b8b
14114dd336bb37
157a833a62bb6
hex40a3e7614c5

4442044110021 has 60 divisors (see below), whose sum is σ = 7730699290380. Its totient is φ = 2534469315840.

The previous prime is 4442044109989. The next prime is 4442044110037. The reversal of 4442044110021 is 1200114402444.

It is a happy number.

4442044110021 is a `hidden beast` number, since 4 + 44 + 204 + 411 + 0 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3836388168900 + 605655941121 = 1958670^2 + 778239^2 .

It is not a de Polignac number, because 4442044110021 - 25 = 4442044109989 is a prime.

It is a super-4 number, since 4×44420441100214 (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442044110821) 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 59 ways as a sum of consecutive naturals, for example, 1776925 + ... + 3470093.

It is an arithmetic number, because the mean of its divisors is an integer number (128844988173).

Almost surely, 24442044110021 is an apocalyptic number.

It is an amenable number.

4442044110021 is a deficient number, since it is larger than the sum of its proper divisors (3288655180359).

4442044110021 is a wasteful number, since it uses less digits than its factorization.

4442044110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693856 (or 1693840 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4442044110021 its reverse (1200114402444), we get a palindrome (5642158512465).

The spelling of 4442044110021 in words is "four trillion, four hundred forty-two billion, forty-four million, one hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 661 1323 1983 3969 4627 5949 13881 17847 32389 41643 53541 97167 124929 291501 374787 874503 1693169 2623509 5079507 11852183 15238521 35556549 45715563 82965281 106669647 137146689 248895843 320008941 746687529 960026823 1119184709 2240062587 3357554127 6720187761 7834292963 10072662381 23502878889 30217987143 54840050741 70508636667 90653961429 164520152223 211525910001 493560456669 634577730003 1480681370007 4442044110021