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241222352241140 = 225971131597689021
BaseRepresentation
bin110110110110001111110100…
…100111100000000111110100
31011122002122001110221200100022
4312312033310213200013310
5223104141334133204030
62213012004020304312
7101544511522113224
oct6666176447400764
91148078043850308
10241222352241140
116a951909206076
122307a611842098
13a47a229c5261a
14437d31d09a084
151cd4b30ea2de5
hexdb63f49e01f4

241222352241140 has 96 divisors (see below), whose sum is σ = 516642442966944. Its totient is φ = 94589723934720.

The previous prime is 241222352241083. The next prime is 241222352241151. The reversal of 241222352241140 is 41142253222142.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 76110234877924 + 165112117363216 = 8724118^2 + 12849596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 241222352241140.

It is a congruent number.

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, 349749830 + ... + 350438850.

It is an arithmetic number, because the mean of its divisors is an integer number (5381692114239).

Almost surely, 2241222352241140 is an apocalyptic number.

241222352241140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241222352241140 is an abundant number, since it is smaller than the sum of its proper divisors (275420090725804).

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

241222352241140 is a wasteful number, since it uses less digits than its factorization.

241222352241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690837 (or 690835 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 241222352241140 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 97 113 194 226 388 452 485 565 970 1130 1597 1940 2260 3194 6388 7985 10961 15970 21922 31940 43844 54805 109610 154909 180461 219220 309818 360922 619636 689021 721844 774545 902305 1378042 1549090 1804610 2756084 3098180 3445105 3609220 6890210 13780420 17504717 35009434 66835037 70018868 77859373 87523585 133670074 155718746 175047170 267340148 311437492 334175185 350094340 389296865 668350370 778593730 1100366537 1336700740 1557187460 2200733074 4401466148 5501832685 7552359181 11003665370 15104718362 22007330740 30209436724 37761795905 75523591810 106735554089 124341418681 151047183620 213471108178 248682837362 426942216356 497365674724 533677770445 621707093405 1067355540890 1243414186810 2134711081780 2486828373620 12061117612057 24122235224114 48244470448228 60305588060285 120611176120570 241222352241140