Base | Representation |
---|---|
bin | 100001010001111010… |
… | …111011010011110000 |
3 | 10102020101002101220000 |
4 | 201101322323103300 |
5 | 1041140414441034 |
6 | 24225510350000 |
7 | 2403345115413 |
oct | 412172732360 |
9 | 112211071800 |
10 | 35734140144 |
11 | 14177a9942a |
12 | 6b1335b300 |
13 | 34a6357631 |
14 | 1a2dc0db7a |
15 | de2248599 |
hex | 851ebb4f0 |
35734140144 has 100 divisors (see below), whose sum is σ = 103472235240. Its totient is φ = 11905937280.
The previous prime is 35734140103. The next prime is 35734140151. The reversal of 35734140144 is 44104143753.
35734140144 is a `hidden beast` number, since 3 + 573 + 4 + 1 + 40 + 1 + 44 = 666.
35734140144 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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 35734140099 and 35734140108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3648534 + ... + 3658314.
Almost surely, 235734140144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 35734140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51736117620).
35734140144 is an abundant number, since it is smaller than the sum of its proper divisors (67738095096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35734140144 is a wasteful number, since it uses less digits than its factorization.
35734140144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12620 (or 12605 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
Adding to 35734140144 its reverse (44104143753), we get a palindrome (79838283897).
The spelling of 35734140144 in words is "thirty-five billion, seven hundred thirty-four million, one hundred forty thousand, one hundred forty-four".
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