| Base | Representation |
|---|---|
| bin | 110010111101001100000101… |
| … | …0001110001100010001010000 |
| 3 | 2011202222212121222212010012000 |
| 4 | 1211322120022032030101100 |
| 5 | 432222021011323142100 |
| 6 | 4225134501025434000 |
| 7 | 163260263613542400 |
| oct | 14572301216142120 |
| 9 | 2152885558763160 |
| 10 | 448214368568400 |
| 11 | 11a8a6712150215 |
| 12 | 4232ab4519b900 |
| 13 | 163135837c24c5 |
| 14 | 7c9799689c800 |
| 15 | 36c413e8bd900 |
| hex | 197a60a38c450 |
448214368568400 has 720 divisors, whose sum is σ = 1905926135330880. Its totient is φ = 99680102323200.
The previous prime is 448214368568377. The next prime is 448214368568501. The reversal of 448214368568400 is 4865863412844.
It is a happy number.
448214368568400 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 1 + 4 + 3 + 68 + 568 + 4 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×4482143685684002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8134915 + ... + 31025885.
It is an arithmetic number, because the mean of its divisors is an integer number (2647119632404).
Almost surely, 2448214368568400 is an apocalyptic number.
448214368568400 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 448214368568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952963067665440).
448214368568400 is an abundant number, since it is smaller than the sum of its proper divisors (1457711766762480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
448214368568400 is a wasteful number, since it uses less digits than its factorization.
448214368568400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22891049 (or 22891025 counting only the distinct ones).
The product of its (nonzero) digits is 141557760, while the sum is 63.
The spelling of 448214368568400 in words is "four hundred forty-eight trillion, two hundred fourteen billion, three hundred sixty-eight million, five hundred sixty-eight thousand, four hundred".
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