Base | Representation |
---|---|
bin | 1000100000000111100… |
… | …1000111111101100100 |
3 | 111222000012212022000001 |
4 | 2020001321013331210 |
5 | 4343113010440400 |
6 | 151033242231044 |
7 | 13360342645654 |
oct | 2100171077544 |
9 | 458005768001 |
10 | 146060640100 |
11 | 56a42472811 |
12 | 243834b5484 |
13 | 10a093a017b |
14 | 70d8504364 |
15 | 3becd36a6a |
hex | 2201e47f64 |
146060640100 has 72 divisors (see below), whose sum is σ = 318728428200. Its totient is φ = 58097402880.
The previous prime is 146060640091. The next prime is 146060640133. The reversal of 146060640100 is 1046060641.
It can be written as a sum of positive squares in 12 ways, for example, as 85058555904 + 61002084196 = 291648^2 + 246986^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19871226 + ... + 19878574.
It is an arithmetic number, because the mean of its divisors is an integer number (4426783725).
Almost surely, 2146060640100 is an apocalyptic number.
146060640100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
146060640100 is an abundant number, since it is smaller than the sum of its proper divisors (172667788100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146060640100 is a wasteful number, since it uses less digits than its factorization.
146060640100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8449 (or 8442 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 28.
The spelling of 146060640100 in words is "one hundred forty-six billion, sixty million, six hundred forty thousand, one hundred".
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