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144343345140 = 2233531431931039
BaseRepresentation
bin1000011001101110001…
…0001010011111110100
3111210120112110200012000
42012123202022133310
54331103344021030
6150151014455300
713266651122061
oct2063342123764
9453515420160
10144343345140
1156241067685
1223b84364530
13107c46797c7
146db43d9c68
153b4c1b8860
hex219b88a7f4

144343345140 has 384 divisors, whose sum is σ = 477251174400. Its totient is φ = 36160266240.

The previous prime is 144343345123. The next prime is 144343345163. The reversal of 144343345140 is 41543343441.

144343345140 is a `hidden beast` number, since 1 + 4 + 43 + 433 + 45 + 140 = 666.

144343345140 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 144343345095 and 144343345104.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 138924741 + ... + 138925779.

It is an arithmetic number, because the mean of its divisors is an integer number (1242841600).

Almost surely, 2144343345140 is an apocalyptic number.

144343345140 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 144343345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238625587200).

144343345140 is an abundant number, since it is smaller than the sum of its proper divisors (332907829260).

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

144343345140 is a wasteful number, since it uses less digits than its factorization.

144343345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 144343345140 its reverse (41543343441), we get a palindrome (185886688581).

The spelling of 144343345140 in words is "one hundred forty-four billion, three hundred forty-three million, three hundred forty-five thousand, one hundred forty".