Base | Representation |
---|---|
bin | 110111001110000101101011… |
… | …011001110110111000000000 |
3 | 1011211220020222200102002110000 |
4 | 313032011223121312320000 |
5 | 223313012232242132200 |
6 | 2220304402244240000 |
7 | 102104052142506450 |
oct | 6716055331667000 |
9 | 1154806880362400 |
10 | 242860727692800 |
11 | 70423724464368 |
12 | 232a40523a0000 |
13 | a56888c4ab6b9 |
14 | 43d87442add60 |
15 | 1d12571621300 |
hex | dce16b676e00 |
242860727692800 has 5400 divisors, whose sum is σ = 1155970264136688. Its totient is φ = 49154870476800.
The previous prime is 242860727692711. The next prime is 242860727692837. The reversal of 242860727692800 is 8296727068242.
242860727692800 is a `hidden beast` number, since 2 + 4 + 2 + 86 + 0 + 7 + 276 + 9 + 280 + 0 = 666.
242860727692800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (5400).
It is a super-2 number, since 2×2428607276928002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 3981323404770 + ... + 3981323404830.
Almost surely, 2242860727692800 is an apocalyptic number.
242860727692800 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 242860727692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577985132068344).
242860727692800 is an abundant number, since it is smaller than the sum of its proper divisors (913109536443888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242860727692800 is an equidigital number, since it uses as much as digits as its factorization.
242860727692800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 232 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 65028096, while the sum is 63.
The spelling of 242860727692800 in words is "two hundred forty-two trillion, eight hundred sixty billion, seven hundred twenty-seven million, six hundred ninety-two thousand, eight hundred".
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