| Base | Representation |
|---|---|
| bin | 1011111111011111101… |
| … | …00011101111000000000 |
| 3 | 1110101120011010011122000 |
| 4 | 11333233310131320000 |
| 5 | 23222332110322400 |
| 6 | 513142510544000 |
| 7 | 41524604060640 |
| oct | 5775764357000 |
| 9 | 1411504104560 |
| 10 | 412045401600 |
| 11 | 149824983958 |
| 12 | 67a35208000 |
| 13 | 2cb1800b201 |
| 14 | 15d2bc3c520 |
| 15 | aab9136600 |
| hex | 5fefd1de00 |
412045401600 has 1920 divisors, whose sum is σ = 1880738196480. Its totient is φ = 86208675840.
The previous prime is 412045401527. The next prime is 412045401601. The reversal of 412045401600 is 6104540214.
412045401600 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 4 + 54 + 0 + 1 + 600 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (412045401601) 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 191 ways as a sum of consecutive naturals, for example, 1768435084 + ... + 1768435316.
It is an arithmetic number, because the mean of its divisors is an integer number (979551144).
Almost surely, 2412045401600 is an apocalyptic number.
412045401600 is a gapful number since it is divisible by the number (40) 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 412045401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940369098240).
412045401600 is an abundant number, since it is smaller than the sum of its proper divisors (1468692794880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
412045401600 is a wasteful number, since it uses less digits than its factorization.
412045401600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 337 (or 310 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
Adding to 412045401600 its reverse (6104540214), we get a palindrome (418149941814).
The spelling of 412045401600 in words is "four hundred twelve billion, forty-five million, four hundred one thousand, six hundred".
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