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242841240000 = 263454241311
BaseRepresentation
bin1110001000101001110…
…1110100000111000000
3212012211000122011120000
43202022131310013000
512434314324140000
6303320522320000
723354555324232
oct3421235640700
9765730564500
10242841240000
1193a96604977
123b093059000
1319b90c0aa28
14ba79b6a252
1564b45e0000
hex388a7741c0

242841240000 has 700 divisors, whose sum is σ = 906170845008. Its totient is φ = 64281600000.

The previous prime is 242841239983. The next prime is 242841240001. The reversal of 242841240000 is 42148242.

242841240000 is a `hidden beast` number, since 242 + 8 + 4 + 12 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242841240001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 780839845 + ... + 780840155.

Almost surely, 2242841240000 is an apocalyptic number.

242841240000 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 242841240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453085422504).

242841240000 is an abundant number, since it is smaller than the sum of its proper divisors (663329605008).

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

242841240000 is an equidigital number, since it uses as much as digits as its factorization.

242841240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 242841240000 its reverse (42148242), we get a palindrome (242883388242).

The spelling of 242841240000 in words is "two hundred forty-two billion, eight hundred forty-one million, two hundred forty thousand".