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44010144 = 25321789101
BaseRepresentation
bin1010011111100…
…0101010100000
310001210221120100
42213320222200
542231311034
64211142400
71043036313
oct247705240
9101727510
1044010144
112292a522
12128a4a00
13916bc09
145bb897a
153ce5099
hex29f8aa0

44010144 has 144 divisors (see below), whose sum is σ = 135331560. Its totient is φ = 13516800.

The previous prime is 44010133. The next prime is 44010181. The reversal of 44010144 is 44101044.

It can be written as a sum of positive squares in 4 ways, for example, as 43401744 + 608400 = 6588^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435694 + ... + 435794.

Almost surely, 244010144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665780).

44010144 is an abundant number, since it is smaller than the sum of its proper divisors (91321416).

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

44010144 is a wasteful number, since it uses less digits than its factorization.

44010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 44010144 is about 6634.0141694151. The cubic root of 44010144 is about 353.0619616400.

Adding to 44010144 its reverse (44101044), we get a palindrome (88111188).

The spelling of 44010144 in words is "forty-four million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 89 96 101 102 136 144 153 178 202 204 267 272 288 303 306 356 404 408 534 544 606 612 712 801 808 816 909 1068 1212 1224 1424 1513 1602 1616 1632 1717 1818 2136 2424 2448 2848 3026 3204 3232 3434 3636 4272 4539 4848 4896 5151 6052 6408 6868 7272 8544 8989 9078 9696 10302 12104 12816 13617 13736 14544 15453 17978 18156 20604 24208 25632 26967 27234 27472 29088 30906 35956 36312 41208 48416 53934 54468 54944 61812 71912 72624 80901 82416 107868 108936 123624 143824 145248 152813 161802 164832 215736 217872 247248 287648 305626 323604 431472 435744 458439 494496 611252 647208 862944 916878 1222504 1294416 1375317 1833756 2445008 2588832 2750634 3667512 4890016 5501268 7335024 11002536 14670048 22005072 44010144