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143272091169 = 3846732
BaseRepresentation
bin1000010101101110101…
…1101001111000100001
3111200210212201100000000
42011123223221320201
54321410123404134
6145452430050213
713231262452464
oct2053353517041
9450725640000
10143272091169
11558413a6719
1223925649969
131068375210c
146d120212db
153ad810ee99
hex215bae9e21

143272091169 has 27 divisors (see below), whose sum is σ = 214943215123. Its totient is φ = 95494287744.

The previous prime is 143272091111. The next prime is 143272091177. The reversal of 143272091169 is 961190272341.

The square root of 143272091169 is 378513.

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

143272091169 is a `hidden beast` number, since 1 + 4 + 327 + 209 + 116 + 9 = 666.

143272091169 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., 137325830625 + 5946260544 = 370575^2 + 77112^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 143272091169 - 27 = 143272091041 is a prime.

It is a super-2 number, since 2×1432720911692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (143272091569) 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, 30657217 + ... + 30661889.

Almost surely, 2143272091169 is an apocalyptic number.

143272091169 is the 378513-rd square number.

143272091169 is the 189257-th centered octagonal number.

It is an amenable number.

143272091169 is a deficient number, since it is larger than the sum of its proper divisors (71671123954).

143272091169 is an frugal number, since it uses more digits than its factorization.

143272091169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 143272091169 in words is "one hundred forty-three billion, two hundred seventy-two million, ninety-one thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 2187 4673 6561 14019 42057 126171 378513 1135539 3406617 10219851 21836929 30659553 65510787 196532361 589597083 1768791249 5306373747 15919121241 47757363723 143272091169