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300609861841 = 349215712
BaseRepresentation
bin1000101111111011011…
…11100111100011010001
31001201221000111012220201
410113331233213203101
514411122111034331
6350033120335201
730501251444242
oct4277557474321
91051830435821
10300609861841
11106540480553
124a315774501
132246929b1c3
141079a134cc9
157c45ec8a61
hex45fdbe78d1

300609861841 has 9 divisors (see below), whose sum is σ = 301665697563. Its totient is φ = 299557714440.

The previous prime is 300609861823. The next prime is 300609861899. The reversal of 300609861841 is 148168906003.

The square root of 300609861841 is 548279.

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

It can be written as a sum of positive squares in only one way, i.e., 220645333441 + 79964528400 = 469729^2 + 282780^2 .

It is a de Polignac number, because none of the positive numbers 2k-300609861841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300609861791 and 300609861800.

It is not an unprimeable number, because it can be changed into a prime (300609861341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 191348586 + ... + 191350156.

Almost surely, 2300609861841 is an apocalyptic number.

300609861841 is the 548279-th square number.

300609861841 is the 274140-th centered octagonal number.

It is an amenable number.

300609861841 is a deficient number, since it is larger than the sum of its proper divisors (1055835722).

300609861841 is an frugal number, since it uses more digits than its factorization.

300609861841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 300609861841 in words is "three hundred billion, six hundred nine million, eight hundred sixty-one thousand, eight hundred forty-one".

Divisors: 1 349 1571 121801 548279 2468041 191349371 861346309 300609861841