Base | Representation |
---|---|
bin | 100000111110011111111010… |
… | …101011010001111101100110 |
3 | 201000111221212222022210010000 |
4 | 200332133322223101331212 |
5 | 123002202241240140143 |
6 | 1232242541014242130 |
7 | 42356146145245356 |
oct | 4076377253217546 |
9 | 630457788283100 |
10 | 145032366333798 |
11 | 4223697689a3a9 |
12 | 143242b2056346 |
13 | 62c0655198a68 |
14 | 27b5865496b66 |
15 | 11b795845cbd3 |
hex | 83e7faad1f66 |
145032366333798 has 160 divisors (see below), whose sum is σ = 347957221838688. Its totient is φ = 44992300953600.
The previous prime is 145032366333797. The next prime is 145032366333809. The reversal of 145032366333798 is 897333663230541.
145032366333798 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 3 + 236 + 63 + 337 + 9 + 8 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145032366333797) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100662186 + ... + 102092802.
It is a 1-persistent number, because it is pandigital, but 2⋅145032366333798 = 290064732667596 is not.
Almost surely, 2145032366333798 is an apocalyptic number.
145032366333798 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 145032366333798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173978610919344).
145032366333798 is an abundant number, since it is smaller than the sum of its proper divisors (202924855504890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145032366333798 is a wasteful number, since it uses less digits than its factorization.
145032366333798 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1431060 (or 1431051 counting only the distinct ones).
The product of its (nonzero) digits is 176359680, while the sum is 63.
The spelling of 145032366333798 in words is "one hundred forty-five trillion, thirty-two billion, three hundred sixty-six million, three hundred thirty-three thousand, seven hundred ninety-eight".
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