| Base | Representation |
|---|---|
| bin | 1000001101111110… |
| … | …10000110010000000 |
| 3 | 102101111100201022011 |
| 4 | 10012333100302000 |
| 5 | 33014011330100 |
| 6 | 2005453022304 |
| 7 | 214224126556 |
| oct | 40677206200 |
| 9 | 12344321264 |
| 10 | 4412214400 |
| 11 | 1964641a90 |
| 12 | a31784994 |
| 13 | 55414b769 |
| 14 | 2dbdb7bd6 |
| 15 | 1ac54cbba |
| hex | 106fd0c80 |
4412214400 has 192 divisors, whose sum is σ = 11978920800. Its totient is φ = 1592524800.
The previous prime is 4412214397. The next prime is 4412214403. The reversal of 4412214400 is 44122144.
It is an interprime number because it is at equal distance from previous prime (4412214397) and next prime (4412214403).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4412214403) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5737216 + ... + 5737984.
Almost surely, 24412214400 is an apocalyptic number.
4412214400 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 4412214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989460400).
4412214400 is an abundant number, since it is smaller than the sum of its proper divisors (7566706400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4412214400 is a wasteful number, since it uses less digits than its factorization.
4412214400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 967 (or 950 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 22.
The square root of 4412214400 is about 66424.5015035868. The cubic root of 4412214400 is about 1640.1574308517.
Adding to 4412214400 its reverse (44122144), we get a palindrome (4456336544).
4412214400 divided by its reverse (44122144) gives a square (100 = 102).
It can be divided in two parts, 4412 and 214400, that added together give a palindrome (218812).
The spelling of 4412214400 in words is "four billion, four hundred twelve million, two hundred fourteen thousand, four hundred".
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