| Base | Representation |
|---|---|
| bin | 1000100001000010100… |
| … | …1001111101100000000 |
| 3 | 111222122110120101010000 |
| 4 | 2020100221033230000 |
| 5 | 4344114340320210 |
| 6 | 151114003040000 |
| 7 | 13366436430300 |
| oct | 2102051175400 |
| 9 | 458573511100 |
| 10 | 146308135680 |
| 11 | 5705a145913 |
| 12 | 24432370000 |
| 13 | 10a48746965 |
| 14 | 711d32b600 |
| 15 | 3c14923ac0 |
| hex | 2210a4fb00 |
146308135680 has 1080 divisors, whose sum is σ = 629310971520. Its totient is φ = 32328253440.
The previous prime is 146308135663. The next prime is 146308135697. The reversal of 146308135680 is 86531803641.
146308135680 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 0 + 81 + 3 + 568 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (146308135663) and next prime (146308135697).
It is a tau number, because it is divible by the number of its divisors (1080).
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 (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 157489456 + ... + 157490384.
It is an arithmetic number, because the mean of its divisors is an integer number (582695344).
Almost surely, 2146308135680 is an apocalyptic number.
146308135680 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 146308135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314655485760).
146308135680 is an abundant number, since it is smaller than the sum of its proper divisors (483002835840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146308135680 is an equidigital number, since it uses as much as digits as its factorization.
146308135680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1007 (or 977 counting only the distinct ones).
The product of its (nonzero) digits is 414720, while the sum is 45.
The spelling of 146308135680 in words is "one hundred forty-six billion, three hundred eight million, one hundred thirty-five thousand, six hundred eighty".
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