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41420114114220 = 223252411171815389
BaseRepresentation
bin10010110101011110111110…
…01100000011011010101100
312102122201112222011200022200
421122233133030003122230
520412111343203123340
6224032045430141500
711503335016616142
oct1132573714033254
9172581488150280
1041420114114220
111221a198663056
12478b5b44b1890
131a15b913c216a
14a32a5c1d3592
154bc673b39330
hex25abdf3036ac

41420114114220 has 144 divisors (see below), whose sum is σ = 126270238654560. Its totient is φ = 10990125619200.

The previous prime is 41420114114219. The next prime is 41420114114231. The reversal of 41420114114220 is 2241141102414.

41420114114220 is a `hidden beast` number, since 4 + 1 + 4 + 20 + 1 + 1 + 411 + 4 + 220 = 666.

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, 50390286 + ... + 51205674.

Almost surely, 241420114114220 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 41420114114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63135119327280).

41420114114220 is an abundant number, since it is smaller than the sum of its proper divisors (84850124540340).

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

41420114114220 is a wasteful number, since it uses less digits than its factorization.

41420114114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816816 (or 816811 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 41420114114220 its reverse (2241141102414), we get a palindrome (43661255216634).

The spelling of 41420114114220 in words is "forty-one trillion, four hundred twenty billion, one hundred fourteen million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1171 1205 1446 2169 2342 2410 2892 3513 3615 4338 4684 4820 5855 7026 7230 8676 10539 10845 11710 14052 14460 17565 21078 21690 23420 35130 42156 43380 52695 70260 105390 210780 282211 564422 815389 846633 1128844 1411055 1630778 1693266 2446167 2539899 2822110 3261556 3386532 4076945 4233165 4892334 5079798 5644220 7338501 8153890 8466330 9784668 10159596 12230835 12699495 14677002 16307780 16932660 24461670 25398990 29354004 36692505 48923340 50797980 73385010 146770020 196508749 393017498 589526247 786034996 954820519 982543745 1179052494 1768578741 1909641038 1965087490 2358104988 2864461557 2947631235 3537157482 3819282076 3930174980 4774102595 5728923114 5895262470 7074314964 8593384671 8842893705 9548205190 11457846228 11790524940 14322307785 17186769342 17685787410 19096410380 28644615570 34373538684 35371574820 42966923355 57289231140 85933846710 171867693420 230111745079 460223490158 690335235237 920446980316 1150558725395 1380670470474 2071005705711 2301117450790 2761340940948 3451676176185 4142011411422 4602234901580 6903352352370 8284022822844 10355028528555 13806704704740 20710057057110 41420114114220