| Base | Representation |
|---|---|
| bin | 1110000101101011110… |
| … | …1110011101010010000 |
| 3 | 212010202111002110101021 |
| 4 | 3201122331303222100 |
| 5 | 12431201321223100 |
| 6 | 303105453445224 |
| 7 | 23326040530411 |
| oct | 3413275635220 |
| 9 | 763674073337 |
| 10 | 242044320400 |
| 11 | 93717788433 |
| 12 | 3aab01a0814 |
| 13 | 19a94a95c7c |
| 14 | ba01da3808 |
| 15 | 6469675a1a |
| hex | 385af73a90 |
242044320400 has 135 divisors (see below), whose sum is σ = 618157386939. Its totient is φ = 91059594240.
The previous prime is 242044320361. The next prime is 242044320407. The reversal of 242044320400 is 4023440242.
The square root of 242044320400 is 491980.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 5661659536 + 236382660864 = 75244^2 + 486192^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (242044320407) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167272477 + ... + 167273923.
Almost surely, 2242044320400 is an apocalyptic number.
242044320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
242044320400 is the 491980-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 242044320400
242044320400 is an abundant number, since it is smaller than the sum of its proper divisors (376113066539).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242044320400 is an equidigital number, since it uses as much as digits as its factorization.
242044320400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2946 (or 1471 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 25.
Multiplying 242044320400 by its sum of digits (25), we get a square (6051108010000 = 24599002).
242044320400 divided by its sum of digits (25) gives a square (9681772816 = 983962).
Adding to 242044320400 its reverse (4023440242), we get a palindrome (246067760642).
The spelling of 242044320400 in words is "two hundred forty-two billion, forty-four million, three hundred twenty thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •