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144021302040 = 233571129353197
BaseRepresentation
bin1000011000100001010…
…1101010101100011000
3111202202002111012002210
42012020111222230120
54324423423131130
6150055032155120
713255660603650
oct2061025525430
9452662435083
10144021302040
11560962a7960
1223ab4538aa0
1310772a31665
146d83729360
153b2dca35b0
hex218856ab18

144021302040 has 256 divisors, whose sum is σ = 540525726720. Its totient is φ = 29823805440.

The previous prime is 144021301993. The next prime is 144021302057. The reversal of 144021302040 is 40203120441.

144021302040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 144021301998 and 144021302016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2680722 + ... + 2733918.

It is an arithmetic number, because the mean of its divisors is an integer number (2111428620).

Almost surely, 2144021302040 is an apocalyptic number.

144021302040 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 144021302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270262863360).

144021302040 is an abundant number, since it is smaller than the sum of its proper divisors (396504424680).

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

144021302040 is a wasteful number, since it uses less digits than its factorization.

144021302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53522 (or 53518 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 144021302040 its reverse (40203120441), we get a palindrome (184224422481).

The spelling of 144021302040 in words is "one hundred forty-four billion, twenty-one million, three hundred two thousand, forty".