| Base | Representation |
|---|---|
| bin | 1110001000100111001… |
| … | …1100110000000000000 |
| 3 | 212012210020210212100000 |
| 4 | 3202021303212000000 |
| 5 | 12434304011002120 |
| 6 | 303315445200000 |
| 7 | 23354362256412 |
| oct | 3421163460000 |
| 9 | 765706725300 |
| 10 | 242830172160 |
| 11 | 93a903354a4 |
| 12 | 3b08b400000 |
| 13 | 19b8b834104 |
| 14 | ba784c89b2 |
| 15 | 64b3655990 |
| hex | 3889ce6000 |
242830172160 has 672 divisors, whose sum is σ = 902240381952. Its totient is φ = 62586224640.
The previous prime is 242830172089. The next prime is 242830172171. The reversal of 242830172160 is 61271038242.
It is a happy number.
242830172160 is a `hidden beast` number, since 2 + 428 + 3 + 0 + 1 + 72 + 160 = 666.
It is a super-4 number, since 4×2428301721604 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308551287 + ... + 308552073.
It is an arithmetic number, because the mean of its divisors is an integer number (1342619616).
Almost surely, 2242830172160 is an apocalyptic number.
242830172160 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 242830172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451120190976).
242830172160 is an abundant number, since it is smaller than the sum of its proper divisors (659410209792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242830172160 is an frugal number, since it uses more digits than its factorization.
242830172160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 864 (or 828 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 242830172160 in words is "two hundred forty-two billion, eight hundred thirty million, one hundred seventy-two thousand, one hundred sixty".
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