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41532305124420 = 223251144514712629
BaseRepresentation
bin10010111000101111111100…
…10010110010110001000100
312110001110010202100111122200
421130113332102302301010
520420431130102440140
6224155402204554500
711514416144514345
oct1134277622626104
9173043122314580
1041532305124420
111226282a5525a0
1247a92a4b52a30
131a236307c38b6
14a382623940cc
154c053d275030
hex25c5fe4b2c44

41532305124420 has 144 divisors (see below), whose sum is σ = 137465079635520. Its totient is φ = 10066173408000.

The previous prime is 41532305124389. The next prime is 41532305124449. The reversal of 41532305124420 is 2442150323514.

It is a happy number.

41532305124420 is a `hidden beast` number, since 4 + 1 + 53 + 2 + 30 + 512 + 44 + 20 = 666.

41532305124420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6456666 + ... + 11169294.

It is an arithmetic number, because the mean of its divisors is an integer number (954618608580).

Almost surely, 241532305124420 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 41532305124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68732539817760).

41532305124420 is an abundant number, since it is smaller than the sum of its proper divisors (95932774511100).

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

41532305124420 is a wasteful number, since it uses less digits than its factorization.

41532305124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717106 (or 4717101 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 41532305124420 its reverse (2442150323514), we get a palindrome (43974455447934).

The spelling of 41532305124420 in words is "forty-one trillion, five hundred thirty-two billion, three hundred five million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4451 8902 13353 17804 22255 26706 40059 44510 48961 53412 66765 80118 89020 97922 133530 146883 160236 195844 200295 244805 267060 293766 400590 440649 489610 587532 734415 801180 881298 979220 1468830 1762596 2203245 2937660 4406490 4712629 8812980 9425258 14137887 18850516 23563145 28275774 42413661 47126290 51838919 56551548 70689435 84827322 94252580 103677838 141378870 155516757 169654644 207355676 212068305 259194595 282757740 311033514 424136610 466550271 518389190 622067028 777583785 848273220 933100542 1036778380 1555167570 1866201084 2332751355 3110335140 4665502710 9331005420 20975911679 41951823358 62927735037 83903646716 104879558395 125855470074 188783205111 209759116790 230735028469 251710940148 314638675185 377566410222 419518233580 461470056938 629277350370 692205085407 755132820444 922940113876 943916025555 1153675142345 1258554700740 1384410170814 1887832051110 2076615256221 2307350284690 2768820341628 3461025427035 3775664102220 4153230512442 4614700569380 6922050854070 8306461024884 10383076281105 13844101708140 20766152562210 41532305124420