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144359722809 = 3241230892
BaseRepresentation
bin1000011001110010000…
…0101000111100111001
3111210121200021202010100
42012130200220330321
54331122042112214
6150152401510013
713300240253301
oct2063440507471
9453550252110
10144359722809
115624a333445
1223b89942309
13107c7b92233
146db6660601
153b4d851309
hex219c828f39

144359722809 has 27 divisors (see below), whose sum is σ = 213798701389. Its totient is φ = 93862106880.

The previous prime is 144359722799. The next prime is 144359722849. The reversal of 144359722809 is 908227953441.

The square root of 144359722809 is 379947.

It is a perfect power (a square), and thus also a powerful number.

144359722809 is a `hidden beast` number, since 1 + 4 + 4 + 359 + 7 + 2 + 280 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 658076409 + 143701646400 = 25653^2 + 379080^2 .

It is a de Polignac number, because none of the positive numbers 2k-144359722809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144359722849) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 46731937 + ... + 46735025.

Almost surely, 2144359722809 is an apocalyptic number.

144359722809 is the 379947-th square number.

144359722809 is the 189974-th centered octagonal number.

It is an amenable number.

144359722809 is a deficient number, since it is larger than the sum of its proper divisors (69438978580).

144359722809 is an frugal number, since it uses more digits than its factorization.

144359722809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 144359722809 in words is "one hundred forty-four billion, three hundred fifty-nine million, seven hundred twenty-two thousand, eight hundred nine".

Divisors: 1 3 9 41 123 369 1681 3089 5043 9267 15129 27801 126649 379947 1139841 5192609 9541921 15577827 28625763 46733481 85877289 391218761 1173656283 3520968849 16039969201 48119907603 144359722809