Search a number
-
+
102304412544 = 273604344087
BaseRepresentation
bin101111101000111010…
…0010111001110000000
3100210001202210121222110
41133101310113032000
53134004412200134
6114555322335320
710251125105265
oct1372164271600
9323052717873
10102304412544
113a4291a0384
12179b165a540
13985506b169
144d4711b26c
1529db6cd7e9
hex17d1d17380

102304412544 has 64 divisors (see below), whose sum is σ = 271797229440. Its totient is φ = 34095054336.

The previous prime is 102304412533. The next prime is 102304412593. The reversal of 102304412544 is 445214403201.

102304412544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1023044125443 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2298469 + ... + 2342555.

It is an arithmetic number, because the mean of its divisors is an integer number (4246831710).

Almost surely, 2102304412544 is an apocalyptic number.

It is an amenable number.

102304412544 is an abundant number, since it is smaller than the sum of its proper divisors (169492816896).

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

102304412544 is an equidigital number, since it uses as much as digits as its factorization.

102304412544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50147 (or 50135 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 102304412544 its reverse (445214403201), we get a palindrome (547518815745).

The spelling of 102304412544 in words is "one hundred two billion, three hundred four million, four hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 6043 12086 18129 24172 36258 44087 48344 72516 88174 96688 132261 145032 176348 193376 264522 290064 352696 386752 529044 580128 705392 773504 1058088 1160256 1410784 2116176 2320512 2821568 4232352 5643136 8464704 16929408 266417741 532835482 799253223 1065670964 1598506446 2131341928 3197012892 4262683856 6394025784 8525367712 12788051568 17050735424 25576103136 34101470848 51152206272 102304412544