| Base | Representation |
|---|---|
| bin | 101111001100011010000000… |
| … | …1100011110111100010000000 |
| 3 | 2000102211020011002202012021021 |
| 4 | 1132120310001203313202000 |
| 5 | 413402322313030140000 |
| 6 | 4030520103504235224 |
| 7 | 153303352522132051 |
| oct | 13630640143674200 |
| 9 | 2012736132665237 |
| 10 | 415121500240000 |
| 11 | 1102a8048765864 |
| 12 | 3a6853b260bb14 |
| 13 | 14a82a356cc168 |
| 14 | 7471db87cc728 |
| 15 | 32ed3e22de11a |
| hex | 1798d018f7880 |
415121500240000 has 320 divisors, whose sum is σ = 1104651719297280. Its totient is φ = 154955187200000.
The previous prime is 415121500239997. The next prime is 415121500240003. The reversal of 415121500240000 is 42005121514.
It is an interprime number because it is at equal distance from previous prime (415121500239997) and next prime (415121500240003).
It is a tau number, because it is divible by the number of its divisors (320).
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (415121500240003) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72688665 + ... + 78191335.
It is an arithmetic number, because the mean of its divisors is an integer number (3452036622804).
Almost surely, 2415121500240000 is an apocalyptic number.
415121500240000 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 415121500240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552325859648640).
415121500240000 is an abundant number, since it is smaller than the sum of its proper divisors (689530219057280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
415121500240000 is an equidigital number, since it uses as much as digits as its factorization.
415121500240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5502769 (or 5502742 counting only the distinct ones).
The product of its (nonzero) digits is 1600, while the sum is 25.
Adding to 415121500240000 its reverse (42005121514), we get a palindrome (415163505361514).
The spelling of 415121500240000 in words is "four hundred fifteen trillion, one hundred twenty-one billion, five hundred million, two hundred forty thousand".
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