| Base | Representation |
|---|---|
| bin | 100111101111001111… |
| … | …111100011100000000 |
| 3 | 11002010122120111101000 |
| 4 | 213233033330130000 |
| 5 | 1144341132440000 |
| 6 | 31333545012000 |
| 7 | 3040240312230 |
| oct | 475717743400 |
| 9 | 132118514330 |
| 10 | 42668640000 |
| 11 | 17106375848 |
| 12 | 8329784000 |
| 13 | 403cc08c9c |
| 14 | 20cab99cc0 |
| 15 | 119ae25000 |
| hex | 9ef3fc700 |
42668640000 has 1440 divisors, whose sum is σ = 193096189440. Its totient is φ = 9068544000.
The previous prime is 42668639963. The next prime is 42668640041. The reversal of 42668640000 is 4686624.
It is a happy number.
42668640000 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 8 + 640 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-4 number, since 4×426686400004 (a number of 44 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 514079959 + ... + 514080041.
It is an arithmetic number, because the mean of its divisors is an integer number (134094576).
Almost surely, 242668640000 is an apocalyptic number.
42668640000 is a gapful number since it is divisible by the number (40) 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 42668640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96548094720).
42668640000 is an abundant number, since it is smaller than the sum of its proper divisors (150427549440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42668640000 is an equidigital number, since it uses as much as digits as its factorization.
42668640000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 152 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The spelling of 42668640000 in words is "forty-two billion, six hundred sixty-eight million, six hundred forty thousand".
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