| Base | Representation |
|---|---|
| bin | 1000100010111011101… |
| … | …1010111011001001000 |
| 3 | 112000221212120211111200 |
| 4 | 2020232323113121020 |
| 5 | 4401134421433222 |
| 6 | 151240232424200 |
| 7 | 13415146062153 |
| oct | 2105673273110 |
| 9 | 460855524450 |
| 10 | 146816202312 |
| 11 | 5729aa1189a |
| 12 | 24554548060 |
| 13 | 10ac9a945c0 |
| 14 | 716a9c2c9a |
| 15 | 3c44331eac |
| hex | 222eed7648 |
146816202312 has 384 divisors, whose sum is σ = 455220380160. Its totient is φ = 42407608320.
The previous prime is 146816202301. The next prime is 146816202367. The reversal of 146816202312 is 213202618641.
It is a happy number.
146816202312 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 1 + 620 + 23 + 1 + 2 = 666.
146816202312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1468162023122 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 348731862 + ... + 348732282.
It is an arithmetic number, because the mean of its divisors is an integer number (1185469740).
Almost surely, 2146816202312 is an apocalyptic number.
146816202312 is a gapful number since it is divisible by the number (12) 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 146816202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227610190080).
146816202312 is an abundant number, since it is smaller than the sum of its proper divisors (308404177848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146816202312 is a wasteful number, since it uses less digits than its factorization.
146816202312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 733 (or 726 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 146816202312 in words is "one hundred forty-six billion, eight hundred sixteen million, two hundred two thousand, three hundred twelve".
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