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41420266236 = 223241149331569
BaseRepresentation
bin100110100100110101…
…110001101011111100
310221220122112112111200
4212210311301223330
51134312042004421
631010032015500
72664301311456
oct464465615374
9127818475450
1041420266236
111662572a098
12803b691590
133ba13a869b
14200d0772d6
151126531726
hex9a4d71afc

41420266236 has 144 divisors (see below), whose sum is σ = 108491292000. Its totient is φ = 13315737600.

The previous prime is 41420266213. The next prime is 41420266259. The reversal of 41420266236 is 63266202414.

41420266236 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 26 + 623 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41420266213) and next prime (41420266259).

It is a super-2 number, since 2×414202662362 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41420266236.

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, 72794560 + ... + 72795128.

It is an arithmetic number, because the mean of its divisors is an integer number (753411750).

Almost surely, 241420266236 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 41420266236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54245646000).

41420266236 is an abundant number, since it is smaller than the sum of its proper divisors (67071025764).

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

41420266236 is a wasteful number, since it uses less digits than its factorization.

41420266236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 41420266236 in words is "forty-one billion, four hundred twenty million, two hundred sixty-six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 149 164 246 298 331 369 447 492 569 596 662 738 894 993 1138 1324 1341 1476 1707 1788 1986 2276 2682 2979 3414 3972 5121 5364 5958 6109 6828 10242 11916 12218 13571 18327 20484 23329 24436 27142 36654 40713 46658 49319 54284 54981 69987 73308 81426 84781 93316 98638 109962 122139 139974 147957 162852 169562 188339 197276 209961 219924 244278 254343 279948 295914 339124 376678 419922 443871 488556 508686 565017 591828 753356 763029 839844 887742 1017372 1130034 1526058 1695051 1775484 2022079 2260068 3052116 3390102 3476021 4044158 6066237 6780204 6952042 7721899 8088316 10428063 12132474 13904084 15443798 18198711 20856126 23165697 24264948 28062511 30887596 31284189 36397422 41712252 46331394 56125022 62568378 69497091 72794844 84187533 92662788 112250044 125136756 138994182 168375066 252562599 277988364 336750132 505125198 1010250396 1150562951 2301125902 3451688853 4602251804 6903377706 10355066559 13806755412 20710133118 41420266236