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44082433428044 = 22114997332739103
BaseRepresentation
bin10100000010111101111011…
…10010010000101001001100
312210002020110120122201222012
422001132331302100221030
521234221310424144134
6233431105040440352
712166564536451634
oct1201367562205114
9183066416581865
1044082433428044
1113056289497280
124b3b5799190b8
131b79c566b904b
14ac585b8356c4
15516a42b216ce
hex2817bdc90a4c

44082433428044 has 48 divisors (see below), whose sum is σ = 84441098112000. Its totient is φ = 19970025733440.

The previous prime is 44082433428031. The next prime is 44082433428233.

44082433428044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44082433427983 and 44082433428001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14724197 + ... + 17463299.

It is an arithmetic number, because the mean of its divisors is an integer number (1759189544000).

Almost surely, 244082433428044 is an apocalyptic number.

44082433428044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44082433428044 is a deficient number, since it is larger than the sum of its proper divisors (40358664683956).

44082433428044 is a wasteful number, since it uses less digits than its factorization.

44082433428044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740350 (or 2740348 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 50.

The spelling of 44082433428044 in words is "forty-four trillion, eighty-two billion, four hundred thirty-three million, four hundred twenty-eight thousand, forty-four".

Divisors: 1 2 4 11 22 44 499 733 998 1466 1996 2932 5489 8063 10978 16126 21956 32252 365767 731534 1463068 2739103 4023437 5478206 8046874 10956412 16093748 30130133 60260266 120520532 1366812397 2007762499 2733624794 4015524998 5467249588 8031049996 15034936367 22085387489 30069872734 44170774978 60139745468 88341549956 1001873487001 2003746974002 4007493948004 11020608357011 22041216714022 44082433428044