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44012221044 = 223112233593671
BaseRepresentation
bin101000111111010101…
…010011001001110100
311012121021202111001220
4220333111103021310
51210114112033134
632115142350340
73115443464151
oct507725231164
9135537674056
1044012221044
111773582a100
12864372b3b0
1341c539275c
1421b73c3228
151228d73149
hexa3f553274

44012221044 has 144 divisors (see below), whose sum is σ = 118147921920. Its totient is φ = 12718164800.

The previous prime is 44012221037. The next prime is 44012221069.

44012221044 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11987329 + ... + 11990999.

It is an arithmetic number, because the mean of its divisors is an integer number (820471680).

Almost surely, 244012221044 is an apocalyptic number.

44012221044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44012221044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59073960960).

44012221044 is an abundant number, since it is smaller than the sum of its proper divisors (74135700876).

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

44012221044 is a wasteful number, since it uses less digits than its factorization.

44012221044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 44012221044 in words is "forty-four billion, twelve million, two hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 359 363 484 506 718 726 759 1012 1077 1436 1452 1518 2154 2783 3036 3671 3949 4308 5566 7342 7898 8257 8349 11013 11132 11847 14684 15796 16514 16698 22026 23694 24771 33028 33396 40381 43439 44052 47388 49542 80762 84433 86878 90827 99084 121143 130317 161524 168866 173756 181654 242286 253299 260634 272481 337732 363308 444191 484572 506598 521268 544962 888382 928763 999097 1013196 1089924 1317889 1332573 1776764 1857526 1998194 2635778 2665146 2786289 2997291 3715052 3953667 3996388 5271556 5330292 5572578 5994582 7907334 10216393 11145156 11989164 14496779 15814668 20432786 28993558 30311447 30649179 40865572 43490337 57987116 60622894 61298358 86980674 90934341 121245788 122596716 159464569 173961348 181868682 318929138 333425917 363737364 478393707 637858276 666851834 956787414 1000277751 1333703668 1913574828 2000555502 3667685087 4001111004 7335370174 11003055261 14670740348 22006110522 44012221044