| Base | Representation |
|---|---|
| bin | 111101010100111010100… |
| … | …101101111011101000000 |
| 3 | 112220212222000022002100000 |
| 4 | 331110322211233131000 |
| 5 | 1023021440021431400 |
| 6 | 12544013242200000 |
| 7 | 613322264003130 |
| oct | 75247245573500 |
| 9 | 15825860262300 |
| 10 | 4214345889600 |
| 11 | 1385326428a80 |
| 12 | 580927ab3000 |
| 13 | 2475462a0a82 |
| 14 | 107d92814ac0 |
| 15 | 74958ad8600 |
| hex | 3d53a96f740 |
4214345889600 has 4032 divisors, whose sum is σ = 21131447500800. Its totient is φ = 799497216000.
The previous prime is 4214345889527. The next prime is 4214345889601. The reversal of 4214345889600 is 69885434124.
4214345889600 is a `hidden beast` number, since 4 + 21 + 4 + 3 + 4 + 5 + 8 + 8 + 9 + 600 = 666.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a super-2 number, since 2×42143458896002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4214345889601) 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 575 ways as a sum of consecutive naturals, for example, 17633246281 + ... + 17633246519.
It is an arithmetic number, because the mean of its divisors is an integer number (5240934400).
Almost surely, 24214345889600 is an apocalyptic number.
4214345889600 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 4214345889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565723750400).
4214345889600 is an abundant number, since it is smaller than the sum of its proper divisors (16917101611200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4214345889600 is a wasteful number, since it uses less digits than its factorization.
4214345889600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344 (or 317 counting only the distinct ones).
The product of its (nonzero) digits is 6635520, while the sum is 54.
The spelling of 4214345889600 in words is "four trillion, two hundred fourteen billion, three hundred forty-five million, eight hundred eighty-nine thousand, six hundred".
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