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44441226544 = 241121310117483
BaseRepresentation
bin101001011000111001…
…110100110100110000
311020201012000012222111
4221120321310310300
51212003423222134
632225505415104
73132203123101
oct513071646460
9136635005874
1044441226544
1117935a06300
12874333a494
13426321b470
1422183783a8
151251865c64
hexa58e74d30

44441226544 has 120 divisors (see below), whose sum is σ = 102939567696. Its totient is φ = 18460992000.

The previous prime is 44441226541. The next prime is 44441226569. The reversal of 44441226544 is 44562214444.

It is a junction number, because it is equal to n+sod(n) for n = 44441226497 and 44441226506.

It is not an unprimeable number, because it can be changed into a prime (44441226541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2533227 + ... + 2550709.

Almost surely, 244441226544 is an apocalyptic number.

44441226544 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 44441226544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51469783848).

44441226544 is an abundant number, since it is smaller than the sum of its proper divisors (58498341152).

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

44441226544 is a wasteful number, since it uses less digits than its factorization.

44441226544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627 (or 17610 counting only the distinct ones).

The product of its digits is 491520, while the sum is 40.

The spelling of 44441226544 in words is "forty-four billion, four hundred forty-one million, two hundred twenty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 101 104 121 143 176 202 208 242 286 404 484 572 808 968 1111 1144 1313 1573 1616 1936 2222 2288 2626 3146 4444 5252 6292 8888 10504 12221 12584 14443 17483 17776 21008 24442 25168 28886 34966 48884 57772 69932 97768 115544 139864 158873 192313 195536 227279 231088 279728 317746 384626 454558 635492 769252 909116 1270984 1538504 1765783 1818232 2115443 2500069 2541968 3077008 3531566 3636464 4230886 5000138 7063132 8461772 10000276 14126264 16923544 19423613 20000552 22955179 27500759 28252528 33847088 38847226 40001104 45910358 55001518 77694452 91820716 110003036 155388904 183641432 213659743 220006072 252506969 310777808 367282864 427319486 440012144 505013938 854638972 1010027876 1709277944 2020055752 2777576659 3418555888 4040111504 5555153318 11110306636 22220613272 44441226544