| Base | Representation |
|---|---|
| bin | 1100111000001111110… |
| … | …10001111100010100000 |
| 3 | 1120022012120210121120000 |
| 4 | 12130013322033202200 |
| 5 | 24222232132340000 |
| 6 | 535142134020000 |
| 7 | 43653626554065 |
| oct | 6340772174240 |
| 9 | 1508176717500 |
| 10 | 442514340000 |
| 11 | 16073a899287 |
| 12 | 719191a7600 |
| 13 | 329625a1145 |
| 14 | 175bc674c6c |
| 15 | b79dee0000 |
| hex | 6707e8f8a0 |
442514340000 has 300 divisors, whose sum is σ = 1626263361954. Its totient is φ = 118003392000.
The previous prime is 442514339941. The next prime is 442514340011. The reversal of 442514340000 is 43415244.
It is a happy number.
442514340000 is a `hidden beast` number, since 4 + 4 + 251 + 4 + 3 + 400 + 0 + 0 = 666.
It can be written as a sum of positive squares in 5 ways, for example, as 10534148496 + 431980191504 = 102636^2 + 657252^2 .
It is a tau number, because it is divible by the number of its divisors (300).
It is a super-2 number, since 2×4425143400002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1483422 + ... + 1756578.
Almost surely, 2442514340000 is an apocalyptic number.
442514340000 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 442514340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813131680977).
442514340000 is an abundant number, since it is smaller than the sum of its proper divisors (1183749021954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442514340000 is an equidigital number, since it uses as much as digits as its factorization.
442514340000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 273199 (or 273167 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
Adding to 442514340000 its reverse (43415244), we get a palindrome (442557755244).
The spelling of 442514340000 in words is "four hundred forty-two billion, five hundred fourteen million, three hundred forty thousand".
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