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41044422132 = 22327267734369
BaseRepresentation
bin100110001110011100…
…000010110111110100
310220221110022200022200
4212032130002313310
51133024333002012
630504444224500
72652055555200
oct461634026764
9126843280280
1041044422132
111645256292a
127b5583b130
133b4157401c
141db519db00
1511035403dc
hex98e702df4

41044422132 has 108 divisors (see below), whose sum is σ = 120871934820. Its totient is φ = 11709315072.

The previous prime is 41044422131. The next prime is 41044422143. The reversal of 41044422132 is 23122444014.

41044422132 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 442 + 213 + 2 = 666.

41044422132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40608698256 + 435723876 = 201516^2 + 20874^2 .

It is a super-2 number, since 2×410444221322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41044422096 and 41044422105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41044422131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1177044 + ... + 1211412.

Almost surely, 241044422132 is an apocalyptic number.

41044422132 is a gapful number since it is divisible by the number (42) 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 41044422132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60435967410).

41044422132 is an abundant number, since it is smaller than the sum of its proper divisors (79827512688).

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

41044422132 is a wasteful number, since it uses less digits than its factorization.

41044422132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35070 (or 35058 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41044422132 its reverse (23122444014), we get a palindrome (64166866146).

The spelling of 41044422132 in words is "forty-one billion, forty-four million, four hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 677 882 1354 1764 2031 2708 4062 4739 6093 8124 9478 12186 14217 18956 24372 28434 33173 34369 42651 56868 66346 68738 85302 99519 103107 132692 137476 170604 199038 206214 240583 298557 309321 398076 412428 481166 597114 618642 721749 962332 1194228 1237284 1443498 1684081 2165247 2886996 3368162 4330494 5052243 6736324 8660988 10104486 15156729 20208972 23267813 30313458 46535626 60626916 69803439 93071252 139606878 162874691 209410317 279213756 325749382 418820634 488624073 651498764 837641268 977248146 1140122837 1465872219 1954496292 2280245674 2931744438 3420368511 4560491348 5863488876 6840737022 10261105533 13681474044 20522211066 41044422132