Search a number
-
+
1004233134004 = 22663737827073
BaseRepresentation
bin11101001110100001111…
…01011000111110110100
310120000002201210220122221
432213100331120332310
5112423132140242004
62045201025132124
7132360555540412
oct16472075307664
93500081726587
101004233134004
11357990473151
1214276378a044
13739112a5b69
14368687262b2
151b1c81dd354
hexe9d0f58fb4

1004233134004 has 12 divisors (see below), whose sum is σ = 1757672820484. Its totient is φ = 502040899584.

The previous prime is 1004233133977. The next prime is 1004233134007. The reversal of 1004233134004 is 4004313324001.

It can be written as a sum of positive squares in 2 ways, for example, as 76921913104 + 927311220900 = 277348^2 + 962970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1004233134004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004233134007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18886989 + ... + 18940084.

Almost surely, 21004233134004 is an apocalyptic number.

It is an amenable number.

1004233134004 is a deficient number, since it is larger than the sum of its proper divisors (753439686480).

1004233134004 is a wasteful number, since it uses less digits than its factorization.

1004233134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37833714 (or 37833712 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1004233134004 its reverse (4004313324001), we get a palindrome (5008546458005).

The spelling of 1004233134004 in words is "one trillion, four billion, two hundred thirty-three million, one hundred thirty-four thousand, four".

Divisors: 1 2 4 6637 13274 26548 37827073 75654146 151308292 251058283501 502116567002 1004233134004