Base | Representation |
---|---|
bin | 1110000110000101010… |
… | …0100011110011100000 |
3 | 212011000220201201001000 |
4 | 3201201110203303200 |
5 | 12431411120314224 |
6 | 303124223112000 |
7 | 23331504045264 |
oct | 3414124436340 |
9 | 764026651030 |
10 | 242150948064 |
11 | 93771996373 |
12 | 3ab1ba42600 |
13 | 19ab0bba36c |
14 | ba121dc0a4 |
15 | 6473bd90c9 |
hex | 3861523ce0 |
242150948064 has 48 divisors (see below), whose sum is σ = 706273601040. Its totient is φ = 80716982400.
The previous prime is 242150948033. The next prime is 242150948087. The reversal of 242150948064 is 460849051242.
It is a happy number.
242150948064 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 509 + 4 + 80 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (48).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140132787 + ... + 140134514.
It is an arithmetic number, because the mean of its divisors is an integer number (14714033355).
Almost surely, 2242150948064 is an apocalyptic number.
242150948064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
242150948064 is an abundant number, since it is smaller than the sum of its proper divisors (464122652976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242150948064 is a wasteful number, since it uses less digits than its factorization.
242150948064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280267320 (or 280267306 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 242150948064 in words is "two hundred forty-two billion, one hundred fifty million, nine hundred forty-eight thousand, sixty-four".
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