Base | Representation |
---|---|
bin | 1001011111011011000100… |
… | …0001001111000101010110 |
3 | 1100221121201010200012121000 |
4 | 2113312301001033011112 |
5 | 2331433243014000032 |
6 | 34105551044204130 |
7 | 2124636031542663 |
oct | 227666101170526 |
9 | 40847633605530 |
10 | 10435445453142 |
11 | 33637139a7a46 |
12 | 1206561699646 |
13 | 5a909b084778 |
14 | 281114a34a6a |
15 | 1316b355ce7c |
hex | 97db104f156 |
10435445453142 has 128 divisors (see below), whose sum is σ = 25208702668800. Its totient is φ = 3187724544000.
The previous prime is 10435445453099. The next prime is 10435445453203. The reversal of 10435445453142 is 24135454453401.
10435445453142 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 5 + 4 + 454 + 53 + 142 = 666.
10435445453142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×104354454531423 (a number of 40 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74897142 + ... + 75036342.
It is an arithmetic number, because the mean of its divisors is an integer number (196942989600).
Almost surely, 210435445453142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10435445453142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604351334400).
10435445453142 is an abundant number, since it is smaller than the sum of its proper divisors (14773257215658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10435445453142 is a wasteful number, since it uses less digits than its factorization.
10435445453142 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 141619 (or 141613 counting only the distinct ones).
The product of its (nonzero) digits is 2304000, while the sum is 45.
The spelling of 10435445453142 in words is "ten trillion, four hundred thirty-five billion, four hundred forty-five million, four hundred fifty-three thousand, one hundred forty-two".
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