| Base | Representation |
|---|---|
| bin | 1000100000011100101… |
| … | …0011001111000000000 |
| 3 | 111222020101020021211000 |
| 4 | 2020013022121320000 |
| 5 | 4343303124243000 |
| 6 | 151050121252000 |
| 7 | 13362465323163 |
| oct | 2100712317000 |
| 9 | 458211207730 |
| 10 | 146149056000 |
| 11 | 56a88371a02 |
| 12 | 243a9034000 |
| 13 | 10a217b907c |
| 14 | 710615bada |
| 15 | 3c0599e000 |
| hex | 2207299e00 |
146149056000 has 640 divisors, whose sum is σ = 546939993600. Its totient is φ = 38465740800.
The previous prime is 146149055989. The next prime is 146149056013. The reversal of 146149056000 is 650941641.
146149056000 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 4 + 90 + 560 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1461490560002 (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 a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143423491 + ... + 143424509.
It is an arithmetic number, because the mean of its divisors is an integer number (854593740).
Almost surely, 2146149056000 is an apocalyptic number.
146149056000 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 146149056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273469996800).
146149056000 is an abundant number, since it is smaller than the sum of its proper divisors (400790937600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146149056000 is an equidigital number, since it uses as much as digits as its factorization.
146149056000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1144 (or 1112 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
Adding to 146149056000 its reverse (650941641), we get a palindrome (146799997641).
The spelling of 146149056000 in words is "one hundred forty-six billion, one hundred forty-nine million, fifty-six thousand".
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