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41420102420040 = 23351519769233993
BaseRepresentation
bin10010110101011110111100…
…11111011100011001001000
312102122201112011011112220220
421122233132133130121020
520412111332204420130
6224032044331350040
711503334515332261
oct1132573637343110
9172581464145826
1041420102420040
111221a191aa6043
12478b5b05b2320
131a15b8bb59426
14a32a5a82b968
154bc672ac9410
hex25abde7dc648

41420102420040 has 128 divisors (see below), whose sum is σ = 125096561913600. Its totient is φ = 10971042508800.

The previous prime is 41420102420023. The next prime is 41420102420071. The reversal of 41420102420040 is 4002420102414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176897284 + ... + 177131276.

It is an arithmetic number, because the mean of its divisors is an integer number (977316889950).

Almost surely, 241420102420040 is an apocalyptic number.

41420102420040 is a gapful number since it is divisible by the number (40) 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 41420102420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62548280956800).

41420102420040 is an abundant number, since it is smaller than the sum of its proper divisors (83676459493560).

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

41420102420040 is a wasteful number, since it uses less digits than its factorization.

41420102420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243927 (or 243923 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41420102420040 its reverse (4002420102414), we get a palindrome (45422522522454).

The spelling of 41420102420040 in words is "forty-one trillion, four hundred twenty billion, one hundred two million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 9769 18120 19538 29307 39076 48845 58614 78152 97690 117228 146535 195380 233993 234456 293070 390760 467986 586140 701979 935972 1169965 1172280 1403958 1475119 1871944 2339930 2807916 2950238 3509895 4425357 4679860 5615832 5900476 7019790 7375595 8850714 9359720 11800952 14039580 14751190 17701428 22126785 28079160 29502380 35332943 35402856 44253570 59004760 70665886 88507140 105998829 141331772 176664715 177014280 211997658 282663544 353329430 423995316 529994145 706658860 847990632 1059988290 1413317720 2119976580 2285877617 4239953160 4571755234 6857632851 9143510468 11429388085 13715265702 18287020936 22858776170 27430531404 34288164255 45717552340 54861062808 68576328510 91435104680 137152657020 274305314040 345167520167 690335040334 1035502560501 1380670080668 1725837600835 2071005121002 2761340161336 3451675201670 4142010242004 5177512802505 6903350403340 8284020484008 10355025605010 13806700806680 20710051210020 41420102420040