Base | Representation |
---|---|
bin | 10101100011011001… |
… | …000010010101000000 |
3 | 2012201211101212211212 |
4 | 111203121002111000 |
5 | 334343420002000 |
6 | 14344220425252 |
7 | 1446326451446 |
oct | 254331022500 |
9 | 65654355755 |
10 | 23142344000 |
11 | 98a6282636 |
12 | 459a3a8228 |
13 | 224a70a399 |
14 | 1197782b96 |
15 | 906a7ac35 |
hex | 563642540 |
23142344000 has 112 divisors (see below), whose sum is σ = 58394443536. Its totient is φ = 9082112000.
The previous prime is 23142343979. The next prime is 23142344011. The reversal of 23142344000 is 44324132.
It can be written as a sum of positive squares in 8 ways, for example, as 1704698944 + 21437645056 = 41288^2 + 146416^2 .
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 396710 + ... + 451290.
Almost surely, 223142344000 is an apocalyptic number.
23142344000 is a gapful number since it is divisible by the number (20) 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 23142344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29197221768).
23142344000 is an abundant number, since it is smaller than the sum of its proper divisors (35252099536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23142344000 is an equidigital number, since it uses as much as digits as its factorization.
23142344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54661 (or 54641 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
Adding to 23142344000 its reverse (44324132), we get a palindrome (23186668132).
The spelling of 23142344000 in words is "twenty-three billion, one hundred forty-two million, three hundred forty-four thousand".
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