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44311211211344 = 2471135966892217
BaseRepresentation
bin10100001001101000000100…
…00000001111101001010000
312210220002222111102021201112
422010310002000033221100
521301443330032230334
6234124142302352452
712222244056515540
oct1204640200175120
9183802874367645
1044311211211344
11131343085a0a60
124b77986b8b728
131b956b5aca75c
14ad29618cb320
1551c9827464ce
hex284d0200fa50

44311211211344 has 40 divisors (see below), whose sum is σ = 107037471240768. Its totient is φ = 17264108263680.

The previous prime is 44311211211343. The next prime is 44311211211349.

44311211211344 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44311211211344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44311211211343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17983444877 + ... + 17983447340.

Almost surely, 244311211211344 is an apocalyptic number.

44311211211344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44311211211344 is an abundant number, since it is smaller than the sum of its proper divisors (62726260029424).

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

44311211211344 is a wasteful number, since it uses less digits than its factorization.

44311211211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35966892243 (or 35966892237 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 4431121 and 1211344, that added together give a palindrome (5642465).

The spelling of 44311211211344 in words is "forty-four trillion, three hundred eleven billion, two hundred eleven million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 35966892217 71933784434 143867568868 251768245519 287735137736 395635814387 503536491038 575470275472 791271628774 1007072982076 1582543257548 2014145964152 2769450700709 3165086515096 4028291928304 5538901401418 6330173030192 11077802802836 22155605605672 44311211211344