Search a number
-
+
1042004313324 = 22321321712797877
BaseRepresentation
bin11110010100111000100…
…11000000010011101100
310200121121001221121222100
433022130103000103230
5114033011101011244
62114405024415100
7135165560344632
oct17123423002354
93617531847870
101042004313324
11371a032a7227
12149b45177490
1377350675800
143860ccb3352
151c1891b3b69
hexf29c4c04ec

1042004313324 has 216 divisors, whose sum is σ = 3022671375360. Its totient is φ = 301482694656.

The previous prime is 1042004313323. The next prime is 1042004313353. The reversal of 1042004313324 is 4233134002401.

1042004313324 is a `hidden beast` number, since 1 + 0 + 4 + 20 + 0 + 4 + 313 + 324 = 666.

It is a super-4 number, since 4×10420043133244 (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1042004313323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132280474 + ... + 132288350.

It is an arithmetic number, because the mean of its divisors is an integer number (13993848960).

Almost surely, 21042004313324 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 1042004313324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511335687680).

1042004313324 is an abundant number, since it is smaller than the sum of its proper divisors (1980667062036).

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

1042004313324 is a wasteful number, since it uses less digits than its factorization.

1042004313324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1042004313324 its reverse (4233134002401), we get a palindrome (5275138315725).

The spelling of 1042004313324 in words is "one trillion, forty-two billion, four million, three hundred thirteen thousand, three hundred twenty-four".