| Base | Representation |
|---|---|
| bin | 1000100000011011001… |
| … | …0101101011111111000 |
| 3 | 111222012221112201211000 |
| 4 | 2020012302231133320 |
| 5 | 4343300032014140 |
| 6 | 151045340205000 |
| 7 | 13362361454112 |
| oct | 2100662553770 |
| 9 | 458187481730 |
| 10 | 146142844920 |
| 11 | 56a8490a486 |
| 12 | 243a6b39760 |
| 13 | 10a20422c87 |
| 14 | 71053c23b2 |
| 15 | 3c05173a30 |
| hex | 2206cad7f8 |
146142844920 has 384 divisors, whose sum is σ = 529928352000. Its totient is φ = 35724499200.
The previous prime is 146142844853. The next prime is 146142844943. The reversal of 146142844920 is 29448241641.
146142844920 is a `hidden beast` number, since 1 + 4 + 614 + 2 + 8 + 4 + 4 + 9 + 20 = 666.
146142844920 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 2×1461428449202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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, 19716015 + ... + 19723425.
It is an arithmetic number, because the mean of its divisors is an integer number (1380021750).
Almost surely, 2146142844920 is an apocalyptic number.
146142844920 is a gapful number since it is divisible by the number (10) 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 146142844920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264964176000).
146142844920 is an abundant number, since it is smaller than the sum of its proper divisors (383785507080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146142844920 is a wasteful number, since it uses less digits than its factorization.
146142844920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7512 (or 7471 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 45.
The spelling of 146142844920 in words is "one hundred forty-six billion, one hundred forty-two million, eight hundred forty-four thousand, nine hundred twenty".
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