Base | Representation |
---|---|
bin | 100111100001000101… |
… | …101000100100010000 |
3 | 11001112002111222120221 |
4 | 213201011220210100 |
5 | 1143344322244034 |
6 | 31254220442424 |
7 | 3031324012021 |
oct | 474105504420 |
9 | 131462458527 |
10 | 42431056144 |
11 | 16aa4252554 |
12 | 82820a9414 |
13 | 4002922b19 |
14 | 20a73d2c48 |
15 | 1185144bb4 |
hex | 9e1168910 |
42431056144 has 45 divisors (see below), whose sum is σ = 85978333623. Its totient is φ = 20284050336.
The previous prime is 42431056141. The next prime is 42431056153. The reversal of 42431056144 is 44165013424.
The square root of 42431056144 is 205988.
It is a perfect power (a square), and thus also a powerful number.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (42431056141) 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 8 ways as a sum of consecutive naturals, for example, 18949777 + ... + 18952015.
Almost surely, 242431056144 is an apocalyptic number.
42431056144 is the 205988-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42431056144
42431056144 is an abundant number, since it is smaller than the sum of its proper divisors (43547277479).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42431056144 is an frugal number, since it uses more digits than its factorization.
42431056144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4532 (or 2264 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 34.
Adding to 42431056144 its reverse (44165013424), we get a palindrome (86596069568).
The spelling of 42431056144 in words is "forty-two billion, four hundred thirty-one million, fifty-six thousand, one hundred forty-four".
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