| Base | Representation |
|---|---|
| bin | 101111110110001101111101… |
| … | …001100100001111000000000 |
| 3 | 1000121002021222212220102221120 |
| 4 | 233312031331030201320000 |
| 5 | 210040222334403312000 |
| 6 | 2023320020003552240 |
| 7 | 62216233156333143 |
| oct | 5766157514417000 |
| 9 | 1017067885812846 |
| 10 | 210434023104000 |
| 11 | 61061628047333 |
| 12 | 1b72763468b680 |
| 13 | 9055ac676b427 |
| 14 | 39d70bd7aa05a |
| 15 | 194dd127e06a0 |
| hex | bf637d321e00 |
210434023104000 has 640 divisors, whose sum is σ = 707062575098880. Its totient is φ = 55521423360000.
The previous prime is 210434023103977. The next prime is 210434023104001. The reversal of 210434023104000 is 401320434012.
210434023104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (210434023104001) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25728571911 + ... + 25728580089.
It is an arithmetic number, because the mean of its divisors is an integer number (1104785273592).
Almost surely, 2210434023104000 is an apocalyptic number.
210434023104000 is a gapful number since it is divisible by the number (20) 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 210434023104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353531287549440).
210434023104000 is an abundant number, since it is smaller than the sum of its proper divisors (496628551994880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210434023104000 is a wasteful number, since it uses less digits than its factorization.
210434023104000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9619 (or 9593 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 210434023104000 its reverse (401320434012), we get a palindrome (210835343538012).
The spelling of 210434023104000 in words is "two hundred ten trillion, four hundred thirty-four billion, twenty-three million, one hundred four thousand".
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