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144144301032 = 233689331839
BaseRepresentation
bin1000011000111110101…
…0110111101111101000
3111210001122221012000000
42012033222313233220
54330201420113112
6150115144343000
713262013225414
oct2061752675750
9453048835000
10144144301032
1156149777916
1223b29774a60
1310792368624
146d95bc5d44
153b3999c7dc
hex218fab7be8

144144301032 has 224 divisors, whose sum is σ = 411501384000. Its totient is φ = 47308250880.

The previous prime is 144144300919. The next prime is 144144301039. The reversal of 144144301032 is 230103441441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144144300987 and 144144301005.

It is not an unprimeable number, because it can be changed into a prime (144144301039) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 171804469 + ... + 171805307.

It is an arithmetic number, because the mean of its divisors is an integer number (1837059750).

Almost surely, 2144144301032 is an apocalyptic number.

144144301032 is a gapful number since it is divisible by the number (12) 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 144144301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205750692000).

144144301032 is an abundant number, since it is smaller than the sum of its proper divisors (267357082968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144144301032 is an equidigital number, since it uses as much as digits as its factorization.

144144301032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144144301032 its reverse (230103441441), we get a palindrome (374247742473).

The spelling of 144144301032 in words is "one hundred forty-four billion, one hundred forty-four million, three hundred one thousand, thirty-two".