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443144024024044 = 227191736793708803
BaseRepresentation
bin110010011000010011000001…
…0001000101110001111101100
32011010001011011222001212220011
41210300212002020232033230
5431040432430122232134
64210253315413303004
7162225046011165130
oct14460460210561754
92133034158055804
10443144024024044
11119221363903392
1241850345034a64
13160363c0aba9c5
147b603dc8533c0
1536372d66ce264
hex193098222e3ec

443144024024044 has 96 divisors (see below), whose sum is σ = 938466929594880. Its totient is φ = 178856533651968.

The previous prime is 443144024024017. The next prime is 443144024024047. The reversal of 443144024024044 is 440420420441344.

It is a super-2 number, since 2×4431440240240442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443144024023988 and 443144024024006.

It is not an unprimeable number, because it can be changed into a prime (443144024024047) 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, 624846147 + ... + 625554949.

It is an arithmetic number, because the mean of its divisors is an integer number (9775697183280).

Almost surely, 2443144024024044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443144024024044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469233464797440).

443144024024044 is an abundant number, since it is smaller than the sum of its proper divisors (495322905570836).

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

443144024024044 is a wasteful number, since it uses less digits than its factorization.

443144024024044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715799 (or 715797 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 443144024024044 its reverse (440420420441344), we get a palindrome (883564444465388).

The spelling of 443144024024044 in words is "four hundred forty-three trillion, one hundred forty-four billion, twenty-four million, twenty-four thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 173 266 346 532 692 1211 2422 3287 4844 6574 6793 13148 13586 23009 27172 46018 47551 92036 95102 129067 190204 258134 516268 708803 903469 1175189 1417606 1806938 2350378 2835212 3613876 4700756 4961621 8226323 9923242 13467257 16452646 19846484 22328591 26934514 32905292 44657182 53869028 89314364 94270799 122622919 156300137 188541598 245245838 312600274 377083196 490491676 625200548 858360433 1716720866 2329835461 3433441732 4659670922 4814898779 9319341844 9629797558 16308848227 19259595116 32617696454 33704291453 65235392908 67408582906 91483076801 134817165812 182966153602 365932307204 640381537607 832977488767 1280763075214 1665954977534 2561526150428 3331909955068 5830842421369 11661684842738 15826572286573 23323369685476 31653144573146 63306289146292 110786006006011 221572012012022 443144024024044