Base | Representation |
---|---|
bin | 11101001110100000101… |
… | …00100110111110110000 |
3 | 10120000001222200202222010 |
4 | 32213100110212332300 |
5 | 112423121421142230 |
6 | 2045200004042520 |
7 | 132360365633526 |
oct | 16472024467660 |
9 | 3500058622863 |
10 | 1004222443440 |
11 | 357985431177 |
12 | 142760093440 |
13 | 7390c001b98 |
14 | 36867142316 |
15 | 1b1c72ca9b0 |
hex | e9d0526fb0 |
1004222443440 has 160 divisors (see below), whose sum is σ = 3198884633280. Its totient is φ = 260419940352.
The previous prime is 1004222443309. The next prime is 1004222443457. The reversal of 1004222443440 is 443442224001.
1004222443440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 1004222443398 and 1004222443407.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17705046 + ... + 17761674.
It is an arithmetic number, because the mean of its divisors is an integer number (19993028958).
Almost surely, 21004222443440 is an apocalyptic number.
1004222443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1004222443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599442316640).
1004222443440 is an abundant number, since it is smaller than the sum of its proper divisors (2194662189840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004222443440 is a wasteful number, since it uses less digits than its factorization.
1004222443440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58679 (or 58673 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 30.
Adding to 1004222443440 its reverse (443442224001), we get a palindrome (1447664667441).
The spelling of 1004222443440 in words is "one trillion, four billion, two hundred twenty-two million, four hundred forty-three thousand, four hundred forty".
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