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144343847340 = 2233571131113991
BaseRepresentation
bin1000011001101110010…
…0000101000110101100
3111210120120102012002000
42012123210011012230
54331104011103330
6150151033332300
713266655313160
oct2063344050654
9453516365060
10144343847340
115624137aa20
1223b84567090
13107c47c4274
146db44caca0
153b4c267560
hex219b9051ac

144343847340 has 768 divisors, whose sum is σ = 583642644480. Its totient is φ = 28740096000.

The previous prime is 144343847311. The next prime is 144343847341. The reversal of 144343847340 is 43748343441.

144343847340 is a `hidden beast` number, since 144 + 3 + 4 + 38 + 473 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144343847341) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 145654245 + ... + 145655235.

It is an arithmetic number, because the mean of its divisors is an integer number (759951360).

Almost surely, 2144343847340 is an apocalyptic number.

144343847340 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 144343847340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291821322240).

144343847340 is an abundant number, since it is smaller than the sum of its proper divisors (439298797140).

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

144343847340 is a wasteful number, since it uses less digits than its factorization.

144343847340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 144343847340 in words is "one hundred forty-four billion, three hundred forty-three million, eight hundred forty-seven thousand, three hundred forty".