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142431542144000 = 210531975648459
BaseRepresentation
bin100000011000101001101101…
…011110010110110000000000
3200200022022201001202200210122
4200120221231132112300000
5122132044244242102000
61222532051441515412
742000224251346504
oct4030515536266000
9620268631680718
10142431542144000
11414239723a302a
1213b8422b342b68
136162310304b25
142725a1b0dc304
15116ee880ad085
hex818a6d796c00

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".