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241440422440 = 23572971269937
BaseRepresentation
bin1110000011011011111…
…0000111101000101000
3212002012101202021010011
43200312332013220220
512423432222004230
6302525522101304
723305055505100
oct3406676075050
9762171667104
10241440422440
1193437907a08
123a961aaa834
13199c99340b9
14b985ac4200
156431637e2a
hex3836f87a28

241440422440 has 96 divisors (see below), whose sum is σ = 638448630120. Its totient is φ = 81926111232.

The previous prime is 241440422417. The next prime is 241440422453. The reversal of 241440422440 is 44224044142.

It is a happy number.

241440422440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 234656923396 + 6783499044 = 484414^2 + 82362^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444849 + ... + 825088.

Almost surely, 2241440422440 is an apocalyptic number.

241440422440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241440422440 is an abundant number, since it is smaller than the sum of its proper divisors (397008207680).

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

241440422440 is a wasteful number, since it uses less digits than its factorization.

241440422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270059 (or 1270048 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 241440422440 its reverse (44224044142), we get a palindrome (285664466582).

The spelling of 241440422440 in words is "two hundred forty-one billion, four hundred forty million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 97 98 140 194 196 245 280 388 392 485 490 679 776 970 980 1358 1940 1960 2716 3395 3880 4753 5432 6790 9506 13580 19012 23765 27160 38024 47530 95060 190120 1269937 2539874 5079748 6349685 8889559 10159496 12699370 17779118 25398740 35558236 44447795 50797480 62226913 71116472 88895590 123183889 124453826 177791180 246367778 248907652 311134565 355582360 492735556 497815304 615919445 622269130 862287223 985471112 1231838890 1244538260 1724574446 2463677780 2489076520 3449148892 4311436115 4927355560 6036010561 6898297784 8622872230 12072021122 17245744460 24144042244 30180052805 34491488920 48288084488 60360105610 120720211220 241440422440