| Base | Representation |
|---|---|
| bin | 11101001010011100100… |
| … | …11001101111000010000 |
| 3 | 10112210102222000000112221 |
| 4 | 32211032103031320100 |
| 5 | 112404140001243100 |
| 6 | 2044155321030424 |
| 7 | 132252340211101 |
| oct | 16451623157020 |
| 9 | 3483388000487 |
| 10 | 1002041040400 |
| 11 | 356a66053844 |
| 12 | 142251625414 |
| 13 | 736520b215a |
| 14 | 366db5463a8 |
| 15 | 1b0eaa3401a |
| hex | e94e4cde10 |
1002041040400 has 45 divisors (see below), whose sum is σ = 2407451699533. Its totient is φ = 400808408000.
The previous prime is 1002041040389. The next prime is 1002041040401. The reversal of 1002041040400 is 40401402001.
The square root of 1002041040400 is 1001020.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 360734774544 + 641306265856 = 600612^2 + 800816^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1002041040401) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 19995375 + ... + 20045425.
Almost surely, 21002041040400 is an apocalyptic number.
1002041040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1002041040400 is the 1001020-th square number.
It is an amenable number.
1002041040400 is an abundant number, since it is smaller than the sum of its proper divisors (1405410659133).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002041040400 is an frugal number, since it uses more digits than its factorization.
1002041040400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100120 (or 50058 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Multiplying 1002041040400 by its sum of digits (16), we get a square (16032656646400 = 40040802).
1002041040400 divided by its sum of digits (16) gives a square (62627565025 = 2502552).
Adding to 1002041040400 its reverse (40401402001), we get a palindrome (1042442442401).
The spelling of 1002041040400 in words is "one trillion, two billion, forty-one million, forty thousand, four hundred".
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