Base | Representation |
---|---|
bin | 10100110100001100000… |
… | …011011101101111111110 |
3 | 12001202011212112020111000 |
4 | 110310030003131233332 |
5 | 141414003121010241 |
6 | 3013043452511130 |
7 | 205226204212431 |
oct | 24641403355776 |
9 | 5052155466430 |
10 | 1430426344446 |
11 | 501705420200 |
12 | 1b1286a7b4a6 |
13 | a4b72405698 |
14 | 4d339515818 |
15 | 2731e402eb6 |
hex | 14d0c0ddbfe |
1430426344446 has 96 divisors (see below), whose sum is σ = 3498229244160. Its totient is φ = 432934215120.
The previous prime is 1430426344367. The next prime is 1430426344447. The reversal of 1430426344446 is 6444436240341.
1430426344446 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 4 + 2 + 634 + 4 + 4 + 4 + 6 = 666.
It is a super-4 number, since 4×14304263444464 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1430426344447) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 5244481 + ... + 5510483.
It is an arithmetic number, because the mean of its divisors is an integer number (36439887960).
Almost surely, 21430426344446 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1430426344446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749114622080).
1430426344446 is an abundant number, since it is smaller than the sum of its proper divisors (2067802899714).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1430426344446 is a wasteful number, since it uses less digits than its factorization.
1430426344446 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266859 (or 266842 counting only the distinct ones).
The product of its (nonzero) digits is 2654208, while the sum is 45.
The spelling of 1430426344446 in words is "one trillion, four hundred thirty billion, four hundred twenty-six million, three hundred forty-four thousand, four hundred forty-six".
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