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144344011231420 = 22572111331227146369
BaseRepresentation
bin100000110100011110110101…
…100000111101000010111100
3200221002011010022202110211121
4200310132311200331002330
5122404413013333401140
61230554420123400324
742255340105360600
oct4064366540750274
9627064108673747
10144344011231420
1141aa0a51332740
1214232a053830a4
136270774441bb0
142790404975500
1511a4abb88064a
hex8347b583d0bc

144344011231420 has 576 divisors, whose sum is σ = 429507078819840. Its totient is φ = 40012561612800.

The previous prime is 144344011231403. The next prime is 144344011231423. The reversal of 144344011231420 is 24132110443441.

144344011231420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144344011231423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 986091996 + ... + 986238364.

It is an arithmetic number, because the mean of its divisors is an integer number (745672011840).

Almost surely, 2144344011231420 is an apocalyptic number.

144344011231420 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 144344011231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214753539409920).

144344011231420 is an abundant number, since it is smaller than the sum of its proper divisors (285163067588420).

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

144344011231420 is a wasteful number, since it uses less digits than its factorization.

144344011231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146674 (or 146665 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 144344011231420 its reverse (24132110443441), we get a palindrome (168476121674861).

The spelling of 144344011231420 in words is "one hundred forty-four trillion, three hundred forty-four billion, eleven million, two hundred thirty-one thousand, four hundred twenty".