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304144441403 = 113173101137883
BaseRepresentation
bin1000110110100000110…
…10111110000000111011
31002002001100102110112212
410123100122332000323
514440341434111103
6351415542525335
730654661045025
oct4332032760073
91062040373485
10304144441403
11107a94676490
124ab4143684b
13228b06540ba
1410a13735015
157da14667d8
hex46d06be03b

304144441403 has 64 divisors (see below), whose sum is σ = 353585516544. Its totient is φ = 259096320000.

The previous prime is 304144441357. The next prime is 304144441421.

304144441403 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 304144441403 - 216 = 304144375867 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 304144441403.

It is not an unprimeable number, because it can be changed into a prime (304144441903) 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 63 ways as a sum of consecutive naturals, for example, 344444000 + ... + 344444882.

It is an arithmetic number, because the mean of its divisors is an integer number (5524773696).

Almost surely, 2304144441403 is an apocalyptic number.

304144441403 is a deficient number, since it is larger than the sum of its proper divisors (49441075141).

304144441403 is a wasteful number, since it uses less digits than its factorization.

304144441403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 304144 and 441403, that added together give a palindrome (745547).

The spelling of 304144441403 in words is "three hundred four billion, one hundred forty-four million, four hundred forty-one thousand, four hundred three".

Divisors: 1 11 31 73 101 137 341 803 883 1111 1507 2263 3131 4247 7373 9713 10001 13837 24893 27373 34441 46717 64459 81103 89183 110011 120971 152207 228563 301103 310031 428947 709049 981013 1010101 1330681 1998229 2514193 2764673 3410341 3750101 4718417 6510359 8830883 11111111 12218071 21980519 30411403 31313131 41251111 71613949 97139713 134398781 201821129 273757373 344444441 378760201 891919183 2220032419 3011331103 4166362211 9811111013 27649494673 304144441403