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44420344302444 = 22311379095074591
BaseRepresentation
bin10100001100110011010101…
…10101111100101101101100
312211021112200011120201122120
422012121222311330231230
521310240331120134234
6234250231403312540
712233156353502025
oct1206315265745554
9184245604521576
1044420344302444
1113176620360630
124b94b6351b750
131ba2a88818bc6
14ad7d558c9c4c
1552071d69c049
hex28666ad7cb6c

44420344302444 has 48 divisors (see below), whose sum is σ = 116125912390656. Its totient is φ = 13096907409600.

The previous prime is 44420344302403. The next prime is 44420344302449.

44420344302444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44420344302396 and 44420344302405.

It is not an unprimeable number, because it can be changed into a prime (44420344302449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4547532412 + ... + 4547542179.

It is an arithmetic number, because the mean of its divisors is an integer number (2419289841472).

Almost surely, 244420344302444 is an apocalyptic number.

44420344302444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44420344302444 is an abundant number, since it is smaller than the sum of its proper divisors (71705568088212).

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

44420344302444 is a wasteful number, since it uses less digits than its factorization.

44420344302444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095074646 (or 9095074644 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 4442034 and 4302444, that added together give a palindrome (8744478).

The spelling of 44420344302444 in words is "forty-four trillion, four hundred twenty billion, three hundred forty-four million, three hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 9095074591 18190149182 27285223773 36380298364 54570447546 100045820501 109140895092 200091641002 300137461503 336517759867 400183282004 600274923006 673035519734 1009553279601 1200549846012 1346071039468 2019106559202 3701695358537 4038213118404 7403390717074 11105086075611 14806781434148 22210172151222 44420344302444