Search a number
-
+
41414111033220 = 223251929994037809
BaseRepresentation
bin10010110101010011110010…
…11000000111011110000100
312102122011001121022120022100
421122221321120013132010
520412012044411030340
6224025214023232100
711503033164356232
oct1132517130073604
9172564047276270
1041414111033220
1112217698018492
12478a3b9ba8630
131a154457b7c23
14a3264cc21952
154bc421ae3830
hex25aa79607784

41414111033220 has 144 divisors (see below), whose sum is σ = 132278655600000. Its totient is φ = 10459021003776.

The previous prime is 41414111033219. The next prime is 41414111033227. The reversal of 41414111033220 is 2233011141414.

It is a happy number.

41414111033220 is a `hidden beast` number, since 4 + 1 + 414 + 11 + 10 + 3 + 3 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (41414111033227) 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, 8237676 + ... + 12275484.

It is an arithmetic number, because the mean of its divisors is an integer number (918601775000).

Almost surely, 241414111033220 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 41414111033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66139327800000).

41414111033220 is an abundant number, since it is smaller than the sum of its proper divisors (90864544566780).

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

41414111033220 is a wasteful number, since it uses less digits than its factorization.

41414111033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040842 (or 4040837 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 41414111033220 its reverse (2233011141414), we get a palindrome (43647122174634).

The spelling of 41414111033220 in words is "forty-one trillion, four hundred fourteen billion, one hundred eleven million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 2999 3420 5998 8997 11996 14995 17994 26991 29990 35988 44985 53982 56981 59980 89970 107964 113962 134955 170943 179940 227924 269910 284905 341886 512829 539820 569810 683772 854715 1025658 1139620 1709430 2051316 2564145 3418860 4037809 5128290 8075618 10256580 12113427 16151236 20189045 24226854 36340281 40378090 48453708 60567135 72680562 76718371 80756180 121134270 145361124 153436742 181701405 230155113 242268540 306873484 363402810 383591855 460310226 690465339 726805620 767183710 920620452 1150775565 1380930678 1534367420 2301551130 2761861356 3452326695 4603102260 6904653390 12109389191 13809306780 24218778382 36328167573 48437556764 60546945955 72656335146 108984502719 121093891910 145312670292 181640837865 217969005438 230078394629 242187783820 363281675730 435938010876 460156789258 544922513595 690235183887 726563351460 920313578516 1089845027190 1150391973145 1380470367774 2070705551661 2179690054380 2300783946290 2760940735548 3451175919435 4141411103322 4601567892580 6902351838870 8282822206644 10353527758305 13804703677740 20707055516610 41414111033220