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141348321 = 3413212
BaseRepresentation
bin10000110110011…
…00110111100001
3100211222020110000
420123030313201
5242141121241
622005330213
73334304142
oct1033146741
9324866400
10141348321
11728730a4
123b406969
132338cc7a
1414ab5ac9
15c620eb6
hex86ccde1

141348321 has 15 divisors (see below), whose sum is σ = 211309923. Its totient is φ = 94160880.

The previous prime is 141348293. The next prime is 141348329. The reversal of 141348321 is 123843141.

The square root of 141348321 is 11889.

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

141348321 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., 130850721 + 10497600 = 11439^2 + 3240^2 .

It is a de Polignac number, because none of the positive numbers 2k-141348321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (141348329) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 106341 + ... + 107661.

Almost surely, 2141348321 is an apocalyptic number.

141348321 is the 11889-th square number.

141348321 is the 5945-th centered octagonal number.

It is an amenable number.

141348321 is a deficient number, since it is larger than the sum of its proper divisors (69961602).

141348321 is an frugal number, since it uses more digits than its factorization.

141348321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 1324 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The cubic root of 141348321 is about 520.9110274766.

Multiplying 141348321 by its product of digits (2304), we get a square (325666531584 = 5706722).

The spelling of 141348321 in words is "one hundred forty-one million, three hundred forty-eight thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 1321 3963 11889 35667 107001 1745041 5235123 15705369 47116107 141348321