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242441218020 = 22356136591659
BaseRepresentation
bin1110000111001010011…
…1110110011111100100
3212011210010220221120010
43201302213312133210
512433004422434040
6303213112410220
723341630231341
oct3416247663744
9764703827503
10242441218020
11939008244a1
123aba10a6970
1319b2908c431
14ba3c99b7c8
15648e424e80
hex38729f67e4

242441218020 has 48 divisors (see below), whose sum is σ = 679942912320. Its totient is φ = 64545515136.

The previous prime is 242441218009. The next prime is 242441218027. The reversal of 242441218020 is 20812144242.

It is a happy number.

242441218020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (242441218027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3259050 + ... + 3332609.

It is an arithmetic number, because the mean of its divisors is an integer number (14165477340).

Almost surely, 2242441218020 is an apocalyptic number.

242441218020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242441218020 is an abundant number, since it is smaller than the sum of its proper divisors (437501694300).

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

242441218020 is a wasteful number, since it uses less digits than its factorization.

242441218020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592284 (or 6592282 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 242441218020 in words is "two hundred forty-two billion, four hundred forty-one million, two hundred eighteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 613 1226 1839 2452 3065 3678 6130 7356 9195 12260 18390 36780 6591659 13183318 19774977 26366636 32958295 39549954 65916590 79099908 98874885 131833180 197749770 395499540 4040686967 8081373934 12122060901 16162747868 20203434835 24244121802 40406869670 48488243604 60610304505 80813739340 121220609010 242441218020