Base | Representation |
---|---|
bin | 100001001111000001111111… |
… | …111111111111100101000100 |
3 | 201011112120101022021102012100 |
4 | 201033001333333333211010 |
5 | 123124311013432440041 |
6 | 1234512511543152100 |
7 | 42534216026311626 |
oct | 4117017777774504 |
9 | 634476338242170 |
10 | 146168474499396 |
11 | 4263477a283668 |
12 | 1448851a445630 |
13 | 637382194729b |
14 | 28148402d2c16 |
15 | 11d729ddd96b6 |
hex | 84f07ffff944 |
146168474499396 has 108 divisors (see below), whose sum is σ = 392745909104640. Its totient is φ = 45827357003520.
The previous prime is 146168474499349. The next prime is 146168474499401. The reversal of 146168474499396 is 693994474861641.
146168474499396 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 6 + 84 + 7 + 449 + 9 + 3 + 96 = 666.
It is a super-3 number, since 3×1461684744993963 (a number of 43 digits) contains 333 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11713981 + ... + 20725691.
Almost surely, 2146168474499396 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 146168474499396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196372954552320).
146168474499396 is an abundant number, since it is smaller than the sum of its proper divisors (246577434605244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146168474499396 is a wasteful number, since it uses less digits than its factorization.
146168474499396 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9013314 (or 9013292 counting only the distinct ones).
The product of its digits is 6772211712, while the sum is 81.
The spelling of 146168474499396 in words is "one hundred forty-six trillion, one hundred sixty-eight billion, four hundred seventy-four million, four hundred ninety-nine thousand, three hundred ninety-six".
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