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3444302302020 = 22325411513090779
BaseRepresentation
bin110010000111110000011…
…010100100101101000100
3110012021100100102202210200
4302013300122210231010
5422412412342131040
611154142435450500
7503562010340346
oct62076032445504
913167310382720
103444302302020
1111087a1947318
12477641a56a30
131bca47667a28
14bc9c2bcd296
155e8da6b0630
hex321f06a4b44

3444302302020 has 144 divisors (see below), whose sum is σ = 10773420577920. Its totient is φ = 890144064000.

The previous prime is 3444302302019. The next prime is 3444302302027. The reversal of 3444302302020 is 202032034443.

3444302302020 is a `hidden beast` number, since 3 + 4 + 4 + 430 + 23 + 0 + 202 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3444302302027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431010 + ... + 2659769.

It is an arithmetic number, because the mean of its divisors is an integer number (74815420680).

Almost surely, 23444302302020 is an apocalyptic number.

3444302302020 is a gapful number since it is divisible by the number (30) 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 3444302302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386710288960).

3444302302020 is an abundant number, since it is smaller than the sum of its proper divisors (7329118275900).

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

3444302302020 is a wasteful number, since it uses less digits than its factorization.

3444302302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090986 (or 3090981 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3444302302020 its reverse (202032034443), we get a palindrome (3646334336463).

The spelling of 3444302302020 in words is "three trillion, four hundred forty-four billion, three hundred two million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 151 164 180 205 246 302 369 410 453 492 604 615 738 755 820 906 1230 1359 1476 1510 1812 1845 2265 2460 2718 3020 3690 4530 5436 6191 6795 7380 9060 12382 13590 18573 24764 27180 30955 37146 55719 61910 74292 92865 111438 123820 185730 222876 278595 371460 557190 1114380 3090779 6181558 9272337 12363116 15453895 18544674 27817011 30907790 37089348 46361685 55634022 61815580 92723370 111268044 126721939 139085055 185446740 253443878 278170110 380165817 466707629 506887756 556340220 633609695 760331634 933415258 1140497451 1267219390 1400122887 1520663268 1866830516 1900829085 2280994902 2333538145 2534438780 2800245774 3801658170 4200368661 4561989804 4667076290 5600491548 5702487255 7000614435 7603316340 8400737322 9334152580 11404974510 14001228870 16801474644 19135012789 21001843305 22809949020 28002457740 38270025578 42003686610 57405038367 76540051156 84007373220 95675063945 114810076734 172215115101 191350127890 229620153468 287025191835 344430230202 382700255780 574050383670 688860460404 861075575505 1148100767340 1722151151010 3444302302020