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41420210144220 = 223251788671526561
BaseRepresentation
bin10010110101011111001001…
…11010011000001111011100
312102122201210122212111201100
421122233210322120033130
520412112042244103340
6224032103140313100
711503340264065035
oct1132574472301734
9172581718774640
1041420210144220
111221a237892896
12478b6206a2790
131a15ba827594b
14a32a6ac6da8c
154bc67c2a7830
hex25abe4e983dc

41420210144220 has 144 divisors (see below), whose sum is σ = 133047059247648. Its totient is φ = 10394481377280.

The previous prime is 41420210144219. The next prime is 41420210144231. The reversal of 41420210144220 is 2244101202414.

41420210144220 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 210 + 1 + 442 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26369740 + ... + 27896300.

It is an arithmetic number, because the mean of its divisors is an integer number (923937911442).

Almost surely, 241420210144220 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 41420210144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66523529623824).

41420210144220 is an abundant number, since it is smaller than the sum of its proper divisors (91626849103428).

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

41420210144220 is a wasteful number, since it uses less digits than its factorization.

41420210144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535460 (or 1535455 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 41420210144220 its reverse (2244101202414), we get a palindrome (43664311346634).

The spelling of 41420210144220 in words is "forty-one trillion, four hundred twenty billion, two hundred ten million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 8867 17734 26601 35468 44335 53202 79803 88670 106404 133005 150739 159606 177340 266010 301478 319212 399015 452217 532020 602956 753695 798030 904434 1356651 1507390 1526561 1596060 1808868 2261085 2713302 3014780 3053122 4522170 4579683 5426604 6106244 6783255 7632805 9044340 9159366 13566510 13739049 15265610 18318732 22898415 25951537 27133020 27478098 30531220 45796830 51903074 54956196 68695245 77854611 91593660 103806148 129757685 137390490 155709222 233563833 259515370 274780980 311418444 389273055 467127666 519030740 778546110 934255332 1167819165 1557092220 2335638330 4671276660 13536016387 27072032774 40608049161 54144065548 67680081935 81216098322 121824147483 135360163870 162432196644 203040245805 230112278579 243648294966 270720327740 406080491610 460224557158 487296589932 609120737415 690336835737 812160983220 920449114316 1150561392895 1218241474830 1380673671474 2071010507211 2301122785790 2436482949660 2761347342948 3451684178685 4142021014422 4602245571580 6903368357370 8284042028844 10355052536055 13806736714740 20710105072110 41420210144220