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241411332020 = 2251961103101113
BaseRepresentation
bin1110000011010100111…
…1001001011110110100
3212002010101000022120012
43200311033021132310
512423402300111040
6302523002355352
723304253315265
oct3406517113664
9762111008505
10241411332020
1193422448941
123a9541bbb58
13199c38ba131
14b981cb096c
15642dcdd865
hex38353c97b4

241411332020 has 96 divisors (see below), whose sum is σ = 547665780480. Its totient is φ = 89107983360.

The previous prime is 241411331999. The next prime is 241411332023. The reversal of 241411332020 is 20233114142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241411332023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2336984 + ... + 2438096.

It is an arithmetic number, because the mean of its divisors is an integer number (5704851880).

Almost surely, 2241411332020 is an apocalyptic number.

241411332020 is a gapful number since it is divisible by the number (20) 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 241411332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273832890240).

241411332020 is an abundant number, since it is smaller than the sum of its proper divisors (306254448460).

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

241411332020 is a wasteful number, since it uses less digits than its factorization.

241411332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101305 (or 101303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 241411332020 its reverse (20233114142), we get a palindrome (261644446162).

The spelling of 241411332020 in words is "two hundred forty-one billion, four hundred eleven million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 103 122 190 206 244 305 380 412 515 610 1030 1159 1220 1957 2060 2318 3914 4636 5795 6283 7828 9785 11590 12566 19570 23180 25132 31415 39140 62830 101113 119377 125660 202226 238754 404452 477508 505565 596885 1011130 1193770 1921147 2022260 2387540 3842294 6167893 7684588 9605735 10414639 12335786 19211470 20829278 24671572 30839465 38422940 41658556 52073195 61678930 104146390 117189967 123357860 197878141 208292780 234379934 395756282 468759868 585949835 635292979 791512564 989390705 1171899670 1270585958 1978781410 2343799340 2541171916 3176464895 3957562820 6352929790 12070566601 12705859580 24141133202 48282266404 60352833005 120705666010 241411332020