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44441300314444 = 221131139234399989
BaseRepresentation
bin10100001101011010010111…
…11010110010100101001100
312211100112202122000102211011
422012231023322302211030
521311111240340030234
6234304015043335004
712234530564611645
oct1206551372624514
9184315678012734
1044441300314444
11131844a4499610
124b99031681464
131ba4a4829bbc7
14ad8d82b4c6cc
1552104830ab64
hex286b4beb294c

44441300314444 has 48 divisors (see below), whose sum is σ = 88209404236800. Its totient is φ = 19408319006400.

The previous prime is 44441300314423. The next prime is 44441300314459.

44441300314444 is nontrivially palindromic in base 10.

44441300314444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444413003144443 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44441300314397 and 44441300314406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117010399 + ... + 117389590.

It is an arithmetic number, because the mean of its divisors is an integer number (1837695921600).

Almost surely, 244441300314444 is an apocalyptic number.

44441300314444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44441300314444 is a deficient number, since it is larger than the sum of its proper divisors (43768103922356).

44441300314444 is a wasteful number, since it uses less digits than its factorization.

44441300314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234400174 (or 234400172 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

It can be divided in two parts, 44441300 and 314444, that added together give a palindrome (44755744).

The spelling of 44441300314444 in words is "forty-four trillion, four hundred forty-one billion, three hundred million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 31 44 62 124 139 278 341 556 682 1364 1529 3058 4309 6116 8618 17236 47399 94798 189596 234399989 468799978 937599956 2578399879 5156799758 7266399659 10313599516 14532799318 29065598636 32581598471 65163196942 79930396249 130326393884 159860792498 319721584996 358397583181 716795166362 1010029552601 1433590332724 2020059105202 4040118210404 11110325078611 22220650157222 44441300314444