| Base | Representation |
|---|---|
| bin | 111100011100111… |
| … | …010110101110000 |
| 3 | 2121200102102001111 |
| 4 | 330130322311300 |
| 5 | 4034114322000 |
| 6 | 244350043104 |
| 7 | 34063451062 |
| oct | 7434726560 |
| 9 | 2550372044 |
| 10 | 1014214000 |
| 11 | 480551a98 |
| 12 | 2437a9494 |
| 13 | 132175b37 |
| 14 | 989ab732 |
| 15 | 5e08ccba |
| hex | 3c73ad70 |
1014214000 has 80 divisors (see below), whose sum is σ = 2466940320. Its totient is φ = 403276800.
The previous prime is 1014213979. The next prime is 1014214021. The reversal of 1014214000 is 4124101.
It is an interprime number because it is at equal distance from previous prime (1014213979) and next prime (1014214021).
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 356584 + ... + 359416.
It is an arithmetic number, because the mean of its divisors is an integer number (30836754).
Almost surely, 21014214000 is an apocalyptic number.
1014214000 is a gapful number since it is divisible by the number (10) 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 1014214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233470160).
1014214000 is an abundant number, since it is smaller than the sum of its proper divisors (1452726320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1014214000 is a wasteful number, since it uses less digits than its factorization.
1014214000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3035 (or 3019 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
The square root of 1014214000 is about 31846.7266763792. The cubic root of 1014214000 is about 1004.7157269630.
Adding to 1014214000 its reverse (4124101), we get a palindrome (1018338101).
It can be divided in two parts, 10142 and 14000, that added together give a palindrome (24142).
The spelling of 1014214000 in words is "one billion, fourteen million, two hundred fourteen thousand".
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