Search a number
-
+
430020301144 = 237171014472297
BaseRepresentation
bin1100100000111110011…
…01010001000101011000
31112002221212001200022011
412100133031101011120
524021140144114034
6525314255235304
743032206151610
oct6203715210530
91462855050264
10430020301144
11156409281a35
126b410b18b34
1331720c90945
1416b551b3a40
15b2bc1d2864
hex641f351158

430020301144 has 64 divisors (see below), whose sum is σ = 985336695360. Its totient is φ = 171736166400.

The previous prime is 430020301141. The next prime is 430020301169. The reversal of 430020301144 is 441103020034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430020301141) 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 15 ways as a sum of consecutive naturals, for example, 2139997 + ... + 2332300.

It is an arithmetic number, because the mean of its divisors is an integer number (15395885865).

Almost surely, 2430020301144 is an apocalyptic number.

It is an amenable number.

430020301144 is an abundant number, since it is smaller than the sum of its proper divisors (555316394216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430020301144 is a wasteful number, since it uses less digits than its factorization.

430020301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472428 (or 4472424 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 430020301144 its reverse (441103020034), we get a palindrome (871123321178).

The spelling of 430020301144 in words is "four hundred thirty billion, twenty million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 136 202 238 404 476 707 808 952 1414 1717 2828 3434 5656 6868 12019 13736 24038 48076 96152 4472297 8944594 17889188 31306079 35778376 62612158 76029049 125224316 152058098 250448632 304116196 451701997 532203343 608232392 903403994 1064406686 1806807988 2128813372 3161913979 3613615976 4257626744 6323827958 7678933949 12647655916 15357867898 25295311832 30715735796 53752537643 61431471592 107505075286 215010150572 430020301144