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141063129 = 323721072
BaseRepresentation
bin10000110100001…
…11001111011001
3100211102202020100
420122013033121
5242103010004
621555250013
73332005524
oct1032071731
9324382210
10141063129
11726988a9
123b2a9909
13232c020c
1414a3dbbb
15c5b6739
hex86873d9

141063129 has 27 divisors (see below), whose sum is σ = 211389087. Its totient is φ = 90645264.

The previous prime is 141063103. The next prime is 141063137. The reversal of 141063129 is 921360141.

The square root of 141063129 is 11877.

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

141063129 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 631 + 29 = 666.

141063129 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., 126225225 + 14837904 = 11235^2 + 3852^2 .

It is not a de Polignac number, because 141063129 - 213 = 141054937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141063179) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1318294 + ... + 1318400.

Almost surely, 2141063129 is an apocalyptic number.

141063129 is the 11877-th square number.

141063129 is the 5939-th centered octagonal number.

It is an amenable number.

141063129 is a deficient number, since it is larger than the sum of its proper divisors (70325958).

141063129 is an equidigital number, since it uses as much as digits as its factorization.

141063129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 141063129 is about 520.5604521913.

Multiplying 141063129 by its product of nonzero digits (1296), we get a square (182817815184 = 4275722).

The spelling of 141063129 in words is "one hundred forty-one million, sixty-three thousand, one hundred twenty-nine".

Divisors: 1 3 9 37 107 111 321 333 963 1369 3959 4107 11449 11877 12321 34347 35631 103041 146483 423613 439449 1270839 1318347 3812517 15673681 47021043 141063129