| Base | Representation |
|---|---|
| bin | 1000100000110010010… |
| … | …0111100110010000000 |
| 3 | 111222110201011200110020 |
| 4 | 2020030210330302000 |
| 5 | 4343444403311200 |
| 6 | 151103124333440 |
| 7 | 13364650434630 |
| oct | 2101444746200 |
| 9 | 458421150406 |
| 10 | 146239900800 |
| 11 | 5702467aa54 |
| 12 | 24413544280 |
| 13 | 10a375756a6 |
| 14 | 71142486c0 |
| 15 | 3c0d945ea0 |
| hex | 220c93cc80 |
146239900800 has 384 divisors, whose sum is σ = 569478729600. Its totient is φ = 32273203200.
The previous prime is 146239900799. The next prime is 146239900801. The reversal of 146239900800 is 8009932641.
It is an interprime number because it is at equal distance from previous prime (146239900799) and next prime (146239900801).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×1462399008002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is not an unprimeable number, because it can be changed into a prime (146239900801) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 1911280 + ... + 1986320.
It is an arithmetic number, because the mean of its divisors is an integer number (1483017525).
Almost surely, 2146239900800 is an apocalyptic number.
146239900800 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 146239900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284739364800).
146239900800 is an abundant number, since it is smaller than the sum of its proper divisors (423238828800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146239900800 is a wasteful number, since it uses less digits than its factorization.
146239900800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75104 (or 75087 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 42.
The spelling of 146239900800 in words is "one hundred forty-six billion, two hundred thirty-nine million, nine hundred thousand, eight hundred".
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