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356114288149 = 191092634211553
BaseRepresentation
bin1010010111010100001…
…00001100111000010101
31021001012012212012220121
411023222010030320111
521313310224210044
6431332513031541
734504562335144
oct5135204147025
91231165765817
10356114288149
11128033260554
1259025b555b1
13277735414c9
141334391175b
1593e3c14984
hex52ea10ce15

356114288149 has 32 divisors (see below), whose sum is σ = 380881670400. Its totient is φ = 332000363520.

The previous prime is 356114288113. The next prime is 356114288161. The reversal of 356114288149 is 941882411653.

It is a cyclic number.

It is not a de Polignac number, because 356114288149 - 27 = 356114288021 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 356114288096 and 356114288105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356114288449) 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 31 ways as a sum of consecutive naturals, for example, 229306557 + ... + 229308109.

It is an arithmetic number, because the mean of its divisors is an integer number (11902552200).

Almost surely, 2356114288149 is an apocalyptic number.

It is an amenable number.

356114288149 is a deficient number, since it is larger than the sum of its proper divisors (24767382251).

356114288149 is a wasteful number, since it uses less digits than its factorization.

356114288149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365.

The product of its digits is 1658880, while the sum is 52.

The spelling of 356114288149 in words is "three hundred fifty-six billion, one hundred fourteen million, two hundred eighty-eight thousand, one hundred forty-nine".

Divisors: 1 19 109 263 421 1553 2071 4997 7999 28667 29507 45889 110723 169277 408439 544673 653813 871891 2103737 3216263 7760341 12068807 12422447 44519851 71265617 171952819 229307333 845877169 1354046723 3267103561 18742857271 356114288149