| Base | Representation |
|---|---|
| bin | 100111010101110110… |
| … | …110010001101110000 |
| 3 | 11001000221221010202000 |
| 4 | 213111312302031300 |
| 5 | 1143003102123003 |
| 6 | 31223405454000 |
| 7 | 3023545203261 |
| oct | 472566621560 |
| 9 | 131027833660 |
| 10 | 42242614128 |
| 11 | 16a07944250 |
| 12 | 822ab71300 |
| 13 | 3ca2884580 |
| 14 | 208a37c968 |
| 15 | 11738201a3 |
| hex | 9d5db2370 |
42242614128 has 320 divisors, whose sum is σ = 145490688000. Its totient is φ = 11563914240.
The previous prime is 42242614123. The next prime is 42242614147. The reversal of 42242614128 is 82141624224.
42242614128 is a `hidden beast` number, since 4 + 2 + 24 + 2 + 614 + 12 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 42242614092 and 42242614101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42242614123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2896198 + ... + 2910746.
It is an arithmetic number, because the mean of its divisors is an integer number (454658400).
Almost surely, 242242614128 is an apocalyptic number.
42242614128 is a gapful number since it is divisible by the number (48) 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 42242614128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72745344000).
42242614128 is an abundant number, since it is smaller than the sum of its proper divisors (103248073872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42242614128 is a wasteful number, since it uses less digits than its factorization.
42242614128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14637 (or 14625 counting only the distinct ones).
The product of its digits is 49152, while the sum is 36.
The spelling of 42242614128 in words is "forty-two billion, two hundred forty-two million, six hundred fourteen thousand, one hundred twenty-eight".
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