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305442200241 = 37139662643
BaseRepresentation
bin1000111000111011100…
…01100001101010110001
31002012101210101110000000
410130131301201222301
520001021200401431
6352152422220213
731032066602343
oct4343561415261
91065353343000
10305442200241
111085a0182952
124b243b84669
1322a59485c39
1410ad7c31293
157e2a3629e6
hex471dc61ab1

305442200241 has 16 divisors (see below), whose sum is σ = 458093472320. Its totient is φ = 203628132036.

The previous prime is 305442200221. The next prime is 305442200243. The reversal of 305442200241 is 142002244503.

It is not a de Polignac number, because 305442200241 - 27 = 305442200113 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305442200243) 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 15 ways as a sum of consecutive naturals, for example, 69829135 + ... + 69833508.

It is an arithmetic number, because the mean of its divisors is an integer number (28630842020).

Almost surely, 2305442200241 is an apocalyptic number.

It is an amenable number.

305442200241 is a deficient number, since it is larger than the sum of its proper divisors (152651272079).

305442200241 is an frugal number, since it uses more digits than its factorization.

305442200241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139662664 (or 139662646 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 305442200241 its reverse (142002244503), we get a palindrome (447444444744).

The spelling of 305442200241 in words is "three hundred five billion, four hundred forty-two million, two hundred thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 729 2187 139662643 418987929 1256963787 3770891361 11312674083 33938022249 101814066747 305442200241