| Base | Representation |
|---|---|
| bin | 1111101100110011… |
| … | …0100111010100000 |
| 3 | 101212201012220212200 |
| 4 | 3323030310322200 |
| 5 | 32112344144210 |
| 6 | 1534110053200 |
| 7 | 206303115546 |
| oct | 37314647240 |
| 9 | 11781186780 |
| 10 | 4214443680 |
| 11 | 1872a41a07 |
| 12 | 9974aa200 |
| 13 | 522195075 |
| 14 | 2bda15d96 |
| 15 | 199ed40c0 |
| hex | fb334ea0 |
4214443680 has 144 divisors (see below), whose sum is σ = 14399277984. Its totient is φ = 1122485760.
The previous prime is 4214443661. The next prime is 4214443699. The reversal of 4214443680 is 863444124.
4214443680 is a `hidden beast` number, since 4 + 2 + 144 + 436 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (4214443661) and next prime (4214443699).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1857907 + ... + 1860173.
It is an arithmetic number, because the mean of its divisors is an integer number (99994986).
Almost surely, 24214443680 is an apocalyptic number.
4214443680 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 4214443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199638992).
4214443680 is an abundant number, since it is smaller than the sum of its proper divisors (10184834304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4214443680 is a wasteful number, since it uses less digits than its factorization.
4214443680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3579 (or 3568 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 36.
The square root of 4214443680 is about 64918.7467531529. The cubic root of 4214443680 is about 1615.2760415985.
The spelling of 4214443680 in words is "four billion, two hundred fourteen million, four hundred forty-three thousand, six hundred eighty".
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