Search a number
-
+
1323050144 = 251337431999
BaseRepresentation
bin100111011011100…
…0010010010100000
310102012112220121012
41032313002102200
510202200101034
6335141320052
744533512023
oct11667022240
93365486535
101323050144
11619911179
1230b106028
13181148810
14c7a011ba
157b244cce
hex4edc24a0

1323050144 has 96 divisors (see below), whose sum is σ = 2949408000. Its totient is φ = 580027392.

The previous prime is 1323050111. The next prime is 1323050159. The reversal of 1323050144 is 4410503231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660857 + ... + 662855.

It is an arithmetic number, because the mean of its divisors is an integer number (30723000).

Almost surely, 21323050144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474704000).

1323050144 is an abundant number, since it is smaller than the sum of its proper divisors (1626357856).

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

1323050144 is a wasteful number, since it uses less digits than its factorization.

1323050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1323050144 is about 36373.7562536508. The cubic root of 1323050144 is about 1097.8055822365.

Adding to 1323050144 its reverse (4410503231), we get a palindrome (5733553375).

The spelling of 1323050144 in words is "one billion, three hundred twenty-three million, fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 43 52 74 86 104 148 172 208 296 344 416 481 559 592 688 962 1118 1184 1376 1591 1924 1999 2236 3182 3848 3998 4472 6364 7696 7996 8944 12728 15392 15992 17888 20683 25456 25987 31984 41366 50912 51974 63968 73963 82732 85957 103948 147926 165464 171914 207896 295852 330928 343828 415792 591704 661856 687656 831584 961519 1117441 1183408 1375312 1923038 2234882 2366816 2750624 3180409 3846076 4469764 6360818 7692152 8939528 12721636 15384304 17879056 25443272 30768608 35758112 41345317 50886544 82690634 101773088 165381268 330762536 661525072 1323050144