Base | Representation |
---|---|
bin | 100000011000101001101101… |
… | …011110010110110000000000 |
3 | 200200022022201001202200210122 |
4 | 200120221231132112300000 |
5 | 122132044244242102000 |
6 | 1222532051441515412 |
7 | 42000224251346504 |
oct | 4030515536266000 |
9 | 620268631680718 |
10 | 142431542144000 |
11 | 414239723a302a |
12 | 13b8422b342b68 |
13 | 6162310304b25 |
14 | 2725a1b0dc304 |
15 | 116ee880ad085 |
hex | 818a6d796c00 |
142431542144000 has 176 divisors, whose sum is σ = 357139337686560. Its totient is φ = 56683405721600.
The previous prime is 142431542143997. The next prime is 142431542144009. The reversal of 142431542144000 is 441245134241.
It is not an unprimeable number, because it can be changed into a prime (142431542144009) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 22391771 + ... + 28040229.
It is an arithmetic number, because the mean of its divisors is an integer number (2029200782310).
Almost surely, 2142431542144000 is an apocalyptic number.
142431542144000 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 142431542144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178569668843280).
142431542144000 is an abundant number, since it is smaller than the sum of its proper divisors (214707795542560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142431542144000 is an equidigital number, since it uses as much as digits as its factorization.
142431542144000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5648691 (or 5648663 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 35.
Adding to 142431542144000 its reverse (441245134241), we get a palindrome (142872787278241).
The spelling of 142431542144000 in words is "one hundred forty-two trillion, four hundred thirty-one billion, five hundred forty-two million, one hundred forty-four thousand".
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