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144656233569 = 3297213072
BaseRepresentation
bin1000011010111000101…
…1101111010001100001
3111211101100020001102100
42012232023233101201
54332223443433234
6150242033041013
713310500461201
oct2065613572141
9454340201370
10144656233569
1156391744361
12240510b6169
131084443aaa3
147003ba6401
153b698c1399
hex21ae2ef461

144656233569 has 27 divisors (see below), whose sum is σ = 211285859187. Its totient is φ = 95370263424.

The previous prime is 144656233567. The next prime is 144656233607. The reversal of 144656233569 is 965332656441.

The square root of 144656233569 is 380337.

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

144656233569 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 5 + 623 + 3 + 5 + 6 + 9 = 666.

144656233569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 64956168225 + 79700065344 = 254865^2 + 282312^2 .

It is not a de Polignac number, because 144656233569 - 21 = 144656233567 is a prime.

It is a super-2 number, since 2×1446562335692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144656233567) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 110677414 + ... + 110678720.

Almost surely, 2144656233569 is an apocalyptic number.

144656233569 is the 380337-th square number.

144656233569 is the 190169-th centered octagonal number.

It is an amenable number.

144656233569 is a deficient number, since it is larger than the sum of its proper divisors (66629625618).

144656233569 is an frugal number, since it uses more digits than its factorization.

144656233569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 1407 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

It can be divided in two parts, 144656 and 233569, that added together give a square (378225 = 6152).

The spelling of 144656233569 in words is "one hundred forty-four billion, six hundred fifty-six million, two hundred thirty-three thousand, five hundred sixty-nine".

Divisors: 1 3 9 97 291 873 1307 3921 9409 11763 28227 84681 126779 380337 1141011 1708249 5124747 12297563 15374241 36892689 110678067 165700153 497100459 1491301377 16072914841 48218744523 144656233569