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144336780340 = 22562211160077
BaseRepresentation
bin1000011001101100100…
…1000111110000110100
3111210120002010010222021
42012123021013300310
54331100203432330
6150150222042524
713266541250524
oct2063311076064
9453502103867
10144336780340
1156238393425
1223b82119444
13107c31bb6cc
146db35ab684
153b4b81d67a
hex219b247c34

144336780340 has 24 divisors (see below), whose sum is σ = 303156223272. Its totient is φ = 57725381760.

The previous prime is 144336780323. The next prime is 144336780359. The reversal of 144336780340 is 43087633441.

It can be written as a sum of positive squares in 4 ways, for example, as 16827797284 + 127508983056 = 129722^2 + 357084^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455619 + ... + 704458.

It is an arithmetic number, because the mean of its divisors is an integer number (12631509303).

Almost surely, 2144336780340 is an apocalyptic number.

144336780340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144336780340 is an abundant number, since it is smaller than the sum of its proper divisors (158819442932).

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

144336780340 is a wasteful number, since it uses less digits than its factorization.

144336780340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166307 (or 1166305 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 144336780340 in words is "one hundred forty-four billion, three hundred thirty-six million, seven hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 6221 12442 24884 31105 62210 124420 1160077 2320154 4640308 5800385 11600770 23201540 7216839017 14433678034 28867356068 36084195085 72168390170 144336780340