| Base | Representation |
|---|---|
| bin | 11101001110110110011… |
| … | …00011001011001000000 |
| 3 | 10120000112200220111000021 |
| 4 | 32213123030121121000 |
| 5 | 112424010114340000 |
| 6 | 2045230041303224 |
| 7 | 132365042163112 |
| oct | 16473314313100 |
| 9 | 3500480814007 |
| 10 | 1004404840000 |
| 11 | 357a69390431 |
| 12 | 1427b1194b14 |
| 13 | 7393aa34843 |
| 14 | 368834613b2 |
| 15 | 1b1d830911a |
| hex | e9db319640 |
1004404840000 has 105 divisors (see below), whose sum is σ = 2491094696871. Its totient is φ = 401681760000.
The previous prime is 1004404839983. The next prime is 1004404840051. The reversal of 1004404840000 is 484044001.
It is a happy number.
The square root of 1004404840000 is 1002200.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 2 ways, for example, as 78745339456 + 925659500544 = 280616^2 + 962112^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 200437495 + ... + 200442505.
Almost surely, 21004404840000 is an apocalyptic number.
1004404840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1004404840000 is the 1002200-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1004404840000
1004404840000 is an abundant number, since it is smaller than the sum of its proper divisors (1486689856871).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004404840000 is an frugal number, since it uses more digits than its factorization.
1004404840000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10054 (or 5018 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 25.
Multiplying 1004404840000 by its sum of digits (25), we get a square (25110121000000 = 50110002).
1004404840000 divided by its sum of digits (25) gives a square (40176193600 = 2004402).
Adding to 1004404840000 its reverse (484044001), we get a palindrome (1004888884001).
The spelling of 1004404840000 in words is "one trillion, four billion, four hundred four million, eight hundred forty thousand".
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