| Base | Representation |
|---|---|
| bin | 1000100001001010110… |
| … | …0000000000000000000 |
| 3 | 111222201212001210210000 |
| 4 | 2020102230000000000 |
| 5 | 4344202124143123 |
| 6 | 151121225440000 |
| 7 | 13400333660142 |
| oct | 2102254000000 |
| 9 | 458655053700 |
| 10 | 146342412288 |
| 11 | 57077527396 |
| 12 | 24441940000 |
| 13 | 10a52888387 |
| 14 | 7123ad0c92 |
| 15 | 3c17944b43 |
| hex | 2212b00000 |
146342412288 has 210 divisors, whose sum is σ = 437474087204. Its totient is φ = 48752492544.
The previous prime is 146342412283. The next prime is 146342412341. The reversal of 146342412288 is 882214243641.
146342412288 is a `hidden beast` number, since 1 + 4 + 634 + 2 + 4 + 1 + 2 + 2 + 8 + 8 = 666.
146342412288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1463424122882 (a number of 23 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (146342412283) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84933795 + ... + 84935517.
Almost surely, 2146342412288 is an apocalyptic number.
146342412288 is a gapful number since it is divisible by the number (18) 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 146342412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218737043602).
146342412288 is an abundant number, since it is smaller than the sum of its proper divisors (291131674916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146342412288 is an frugal number, since it uses more digits than its factorization.
146342412288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1775 (or 1728 counting only the distinct ones).
The product of its digits is 589824, while the sum is 45.
The spelling of 146342412288 in words is "one hundred forty-six billion, three hundred forty-two million, four hundred twelve thousand, two hundred eighty-eight".
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