| Base | Representation |
|---|---|
| bin | 1011100010000101000… |
| … | …10111010100000000000 |
| 3 | 1101212210120202101212100 |
| 4 | 11301002202322200000 |
| 5 | 22443011340040000 |
| 6 | 502011502230400 |
| 7 | 40425346444365 |
| oct | 5610242724000 |
| 9 | 1355716671770 |
| 10 | 396253440000 |
| 11 | 143060811420 |
| 12 | 64968585400 |
| 13 | 2b49c395032 |
| 14 | 1527078246c |
| 15 | a492a36a00 |
| hex | 5c428ba800 |
396253440000 has 1440 divisors, whose sum is σ = 1616495680800. Its totient is φ = 92651520000.
The previous prime is 396253439993. The next prime is 396253440001. The reversal of 396253440000 is 44352693.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (396253440001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6716159971 + ... + 6716160029.
It is an arithmetic number, because the mean of its divisors is an integer number (1122566445).
Almost surely, 2396253440000 is an apocalyptic number.
396253440000 is a gapful number since it is divisible by the number (30) 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 396253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808247840400).
396253440000 is an abundant number, since it is smaller than the sum of its proper divisors (1220242240800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
396253440000 is a wasteful number, since it uses less digits than its factorization.
396253440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 133 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
Adding to 396253440000 its reverse (44352693), we get a palindrome (396297792693).
It can be divided in two parts, 396 and 253440000, that multiplied together give a square (100362240000 = 3168002).
The spelling of 396253440000 in words is "three hundred ninety-six billion, two hundred fifty-three million, four hundred forty thousand".
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