| Base | Representation |
|---|---|
| bin | 10000000011011111011101… |
| … | …11100110110010101100000 |
| 3 | 11122000001200111212121112022 |
| 4 | 20001233232330312111200 |
| 5 | 14111411244323300212 |
| 6 | 203030331532121012 |
| 7 | 10302440404201313 |
| oct | 1001575674662540 |
| 9 | 148001614777468 |
| 10 | 35304345134432 |
| 11 | 1028154149a700 |
| 12 | 3b62275906168 |
| 13 | 16912545c517a |
| 14 | 8a0a4cd8a97a |
| 15 | 4135313a6772 |
| hex | 201beef36560 |
35304345134432 has 576 divisors, whose sum is σ = 85963038013440. Its totient is φ = 14189057372160.
The previous prime is 35304345134417. The next prime is 35304345134473. The reversal of 35304345134432 is 23443154340353.
35304345134432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44296543058 + ... + 44296543854.
It is an arithmetic number, because the mean of its divisors is an integer number (149241385440).
Almost surely, 235304345134432 is an apocalyptic number.
35304345134432 is a gapful number since it is divisible by the number (32) 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 35304345134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42981519006720).
35304345134432 is an abundant number, since it is smaller than the sum of its proper divisors (50658692879008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35304345134432 is a wasteful number, since it uses less digits than its factorization.
35304345134432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1475 (or 1456 counting only the distinct ones).
The product of its (nonzero) digits is 3110400, while the sum is 44.
Adding to 35304345134432 its reverse (23443154340353), we get a palindrome (58747499474785).
The spelling of 35304345134432 in words is "thirty-five trillion, three hundred four billion, three hundred forty-five million, one hundred thirty-four thousand, four hundred thirty-two".
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