| Base | Representation |
|---|---|
| bin | 101111110001100011001101… |
| … | …0100011111000111000000000 |
| 3 | 2001002220021000111102201202210 |
| 4 | 1133203012122203320320000 |
| 5 | 420034442322001312300 |
| 6 | 4045425214511342120 |
| 7 | 154341235060550541 |
| oct | 13743063243707000 |
| 9 | 2032807014381683 |
| 10 | 420226488307200 |
| 11 | 111996064405103 |
| 12 | 3b16a860821940 |
| 13 | 150632598141c3 |
| 14 | 75ab0db86c4c8 |
| 15 | 338b0c6ae6050 |
| hex | 17e319a8f8e00 |
420226488307200 has 960 divisors, whose sum is σ = 1484872276377600. Its totient is φ = 104581745049600.
The previous prime is 420226488307151. The next prime is 420226488307201. The reversal of 420226488307200 is 2703884622024.
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 420226488307200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (420226488307201) 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 95 ways as a sum of consecutive naturals, for example, 4043736841 + ... + 4043840759.
It is an arithmetic number, because the mean of its divisors is an integer number (1546741954560).
Almost surely, 2420226488307200 is an apocalyptic number.
420226488307200 is a gapful number since it is divisible by the number (40) 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 420226488307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742436138188800).
420226488307200 is an abundant number, since it is smaller than the sum of its proper divisors (1064645788070400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420226488307200 is a wasteful number, since it uses less digits than its factorization.
420226488307200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104103 (or 104082 counting only the distinct ones).
The product of its (nonzero) digits is 2064384, while the sum is 48.
The spelling of 420226488307200 in words is "four hundred twenty trillion, two hundred twenty-six billion, four hundred eighty-eight million, three hundred seven thousand, two hundred".
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